diff --git "a/data/dm_maths/full_data/6124_11255.jsonl" "b/data/dm_maths/full_data/6124_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/6124_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Multiply 1017 and 4.\nAnswer: 4068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t**2. Let u(v) = 1153*v + 1. Calculate o(u(i)).\nAnswer: -5317636*i**2 - 9224*i - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2616 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**4 - 42*z**3 - 162*z**2 + 1458*z + 8748 = 0.\nAnswer: -9, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3057573, -3057439, -3057305, -3057171?\n\"Answer: 134*m - 3057707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u**2 - 240. Let n(l) = -l**2. Determine k(n(z)).\nAnswer: 4*z**4 - 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m - 3. Determine i(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 54*w + 52*w - 424 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 1)*(6*r + r - 3*r)*(2*r**2 - 2*r**2 - 4*r**2).\nAnswer: 48*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -635 - -596 - (-1 + -1).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -12063*f - 2534*f - 1 + 3237*f - 10330*f in the form r + a*f and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 8, 3\/4, 6078?\nAnswer: 6078","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 10:00 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 + -33. What is the third derivative of -2*u**2 - 37 - 47*u**5 - 799*u**3 + 799*u**x wrt u?\nAnswer: -2820*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8126 + 247*v - 2711 + 29*v - 2706 - 2709.\nAnswer: 276*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 26\/(-65) - 47\/(-10)*152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45309080 and 1564?\nAnswer: 1564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45311 = 7*f - 50470. Calculate the greatest common factor of 1139 and f.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 5*x**3\/3 + x - 8. Differentiate s(h) with respect to h.\nAnswer: 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46170 is divided by 2691?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/13))**31\/((r*r**(-31))\/r**(2\/35)) assuming r is positive.\nAnswer: r**(10421\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -12. Let z = 32 + -29. Suppose -10 + 2 = -2*w. What is the closest to 0.1 in w, y, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/6570920 and 75\/7228012.\nAnswer: 72280120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -12894.\nAnswer: 1\/12894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 93 - 88. Solve m + k*t = 5, -m + 2*t = -2*t + 13 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.27 + 2.4. Let x = -4.87 - z. Let q = 4.9999916 + x. Round q to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 - -50001?\nAnswer: 47767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -q**7\/10 + 17*q**3 + 148*q**2. What is the first derivative of c(d) wrt d?\nAnswer: -84*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19735159513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -41 - 23*w + 8*w - 3 + 8*w + w**2. Let z be s(11). Let j(o) = o**2 - 4. Determine j(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 11:24 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1173*t - 10273 = 18423 - 2376 + 659 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 62*k. Let s(w) = -34*w - 17. Determine s(q(h)).\nAnswer: -2108*h - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -231b50?\nAnswer: -231b52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/5, -1\/2, 827, -73\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 19*r**2 + 3*r + 3. Let h be q(-2). Suppose -h = -3*f - 25. Calculate the remainder when 63 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-6))\/(2\/(-60)). Let x = -27 - -30. Suppose 3*h = 5*s - 25, 2*h - 15 = -x*s - 3*h. Solve 0 = -0*q - s*q + 2*b - g, 0 = -q - 4*b + 19 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 32*y + 257. Let h be z(15). Suppose 0 = 2*o + 3*n - 890, n + 87 - 981 = -h*o. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9221, 3, -2, 4 in descending order.\nAnswer: 4, 3, 2, -2, -9221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 56*k - k + 3 - 3 as o + n*k and give n.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 13 + -26 + (-8 - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + (1*(sqrt(448) - (-3 + sqrt(448))) + sqrt(448) - sqrt(448)))**2.\nAnswer: 48*sqrt(7) + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -4*i + 31, i + 3*i - 28 = -4*f. Let n(r) = -r - 2 + 2 - i. Let l(h) = -2*h - 9. Give -6*l(m) + 13*n(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 13 = 23. Suppose -6*u = -q*u - 24. Calculate the lowest common multiple of 27 and u.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6277026 litres in millilitres?\nAnswer: 627.7026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = w - 13 - 19, -4*w = -5*r + 22. Suppose -4*z - 9 = o - r*o, -2*o - 10 = -5*z. Let p(a) = a**2 - 5*a - 1. Give p(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2729, 6675, 13253, 22463?\nAnswer: 34305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.44 - -176.44. Let l = m - 41. Let d = -134.782 + l. What is d rounded to 2 decimal places?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s**3*z + 3*s**3 - 18*s**2 + s*z - 2*s - 191*z + 3 wrt s.\nAnswer: 12*s*z + 18*s - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2467 - -694. List the prime factors of f.\nAnswer: 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(2\/(-6) - 0). Suppose -4*r = -h*r - 13. Calculate the remainder when 50 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -186\/5*o + 14\/5*o**2 - 40.\nAnswer: 2*(o + 1)*(7*o - 100)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42\/105 - (279252\/(-20) + 4)?\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*x - 61*x - 209*x + 79*x + 91*x.\nAnswer: -26*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 191739 greater than 191740?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12355 + -12169. Calculate the remainder when 429 is divided by o.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 2*w = 9*w + 105, -47*p - w + 195 = -43*p for p.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2 + 2*q - 3. Let f(s) = s**2 + s - 1. Let h = -217 - -221. Determine h*f(a) - v(a).\nAnswer: a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 + 22*c + 107. What is the remainder when o(-19) is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3940*s. Let p(x) = -5*x + 1. Determine p(m(d)).\nAnswer: 19700*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -18 (b) -7\/4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6373794.6*-0.2.\nAnswer: -1274758.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.2, -2\/69, -318\/47, -3\/5 in decreasing order.\nAnswer: 4, 0.2, -2\/69, -3\/5, -318\/47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 25\/6 (c) -2\/3 (d) 3\/7 (e) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 103460?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - n + 4 = 0, 0 = -5*p - 150*n + 146*n + 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/9 - 688\/(-144). Solve 16 - 41 = d*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b - 9. Let q be n(8). Let f = -905\/7 + 129. Sort -3\/2, q, f in descending order.\nAnswer: f, q, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 23. Suppose w*b + 6*b = 24. Solve -i - b = 1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.9 * 17.\nAnswer: -32.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.2 + 1.4. Let y be 27\/(-21) - (-4)\/14. Let s = 0.34 - -0.06. Which is the closest to 0.1? (a) s (b) y (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((2 + sqrt(1053)*-1 + sqrt(1053))**2 - 1*((0 + sqrt(1053))**2 + sqrt(1053))) + -5 + -2 + -1.\nAnswer: -1057 - 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 + 5*g - 2. Let a = 12 - 9. Calculate u(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1930632, 1930652, 1930672, 1930692?\nAnswer: 1930712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 72 + -25 - (9 + -6 + -2 + 11).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (14\/(-6) - -2)*-9. Suppose 4*c = -l - 2, -l + 3*l - f*c - 40 = 0. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5911 - -5933. Solve a - 46 = 8*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 5 + (-5 - -12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*f = -10*f - 40356. Suppose 2903 = 4*y + j - f, -5*y + 6431 = j. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 8 (c) -1 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -22. Suppose 3*d = x*o + 92, -4*d - 5*o = -73 - 3. What is the closest to -1\/4 in d, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 - b**2 - 3*b**2)*(1 - 1 - 5*b**2).\nAnswer: 5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**2 + 0*g**2 - 3*g**2)*(-1 - 4 - 3)*(17597 + 74*g - 17597).\nAnswer: -1184*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 5*c**2 - 2*c + 11. Suppose 0*j - 102 = -3*j. Suppose -174 = j*k - 38. Give z(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0 + -3)*(-172)\/6 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5382, -364, 5 in increasing order.\nAnswer: -5382, -364, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14023067959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2))**(-38)\/(h**2*h)**(-2\/39) assuming h is positive.\nAnswer: h**(990\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 10*r**2 - 10*r - 8. Let f = -44 + 35. Let x be q(f). Which is the biggest value? (a) 0.8 (b) -1\/4 (c) x (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o\/(o**3*o))**(-15\/8))**31 assuming o is positive.\nAnswer: o**(465\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.422781l in millilitres?\nAnswer: 2422.781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42 - -1040213?\nAnswer: 1040121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*g + 2*m - 3340 = 0, -1988 = -3*g + 2*m. List the prime factors of g.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 7*z + 19 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3836 and 8494.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10*(18\/12)\/(-3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.793 + 45?\nAnswer: 45.793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1970850.\nAnswer: 2, 3, 5, 7, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -5. Suppose 0 = -7*h + x*h. Let 0*o - 1\/4*o**2 + h + 1\/4*o**3 = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2122 (base 3) to base 6\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwaawwwaaaaw. Give prob of sequence aw.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 546 and 512123.\nAnswer: 512669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*k - 137*k = 3*y + 236, -k + 240 = -5*y. What is the remainder when 695 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**2*l**2 - 3*i**2 + 2*i*l**3 - 2*i*l - 774*l**3 - 33*l wrt l?\nAnswer: -2*i**2 + 12*i*l - 4644*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a*p*t*x**2 - a*p*t - 30*a*t*x**3 - 28*a*x**2 - 4*p*t*x**3 + 3*p*t*x + 4*t*x**3 wrt x?\nAnswer: -180*a*t - 24*p*t + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 313.29 + -178.29. Which is the second smallest value? (a) -2\/11 (b) 3 (c) k (d) 5 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2335 (b) -117 (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/3)\/(15\/9). Let g(a) = 2*a + 4. Let i be g(3). Let n be ((-2)\/i - 1) + 2. What is the biggest value in 5, n, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7065795 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zrez when four letters picked without replacement from errrzrrzrrrrrzrrr?\nAnswer: 13\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -m**8\/33600 + m**6\/1200 + m**5\/300 - m**4\/8 - 3*m**2. Let q(y) be the second derivative of v(y). Factor q(r).\nAnswer: -(r - 2)*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5766773 litres in millilitres?\nAnswer: 576.6773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v + 972 = 10*v. Let o(w) = w**3 - 25*w**2 - 58*w + 110. Let g be o(v). Factor 2\/5*q + 0 - 1\/5*q**g.\nAnswer: -q*(q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 + -6 + (-1 - -4). Suppose 0*f = n*f - 1668. Let o = f - 281. Calculate the greatest common divisor of 17 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1964, -3930, -5898, -7868, -9840?\nAnswer: -11814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 21 = 4*s, 3*v - 11 = -3*s + 4*s. Calculate the highest common divisor of s and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + (5*(sqrt(175) + 3 + sqrt(175)*-3))**2).\nAnswer: -17721 + 1500*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - (3 - (17 + -9 - 9))) + 10?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t**2 - 3844*t + 2. Let u(o) = -47*o**2 - 42286*o + 23. Let w(d) = 23*l(d) - 2*u(d). Factor w(f).\nAnswer: 2*f*(f - 1920)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 10*g**2. Let o(f) = 21*f**2. Let a(i) = 7*j(i) - 4*o(i). Let v(b) = 4*b. Calculate v(a(y)).\nAnswer: -56*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f - 15*f - 20 = 0. Let x be 108\/15 - 4\/f. Find the first derivative of -5*y - x - y + 4 + 0*y wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mggagmmm. What is prob of picking 2 g?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 54*o**2 + 2188*o + 70753. Calculate l(-42).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v - 2 + 5 = -4*j - 7*v, -51*j = 5*v + 795 - 526 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*v + 9. Solve -2*c = -3*z + 10, 6 = -4*z - v*c - 14 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7007?\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/232614 and -85\/21348.\nAnswer: 275880204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y**2 + 88*y + 68. Give x(-21).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13055198?\nAnswer: 2, 13, 131, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, p: 3, l: 6}. Give prob of sequence ppls.\nAnswer: 3\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from skkfrrkgggy. What is prob of sequence kf?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9113 and 1402?\nAnswer: 18226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 115081*w - 57538*w = 57542*w - 222, 0 = 5*o - 2*w + 359 for o.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3077 + 5996. Let i = l + -1337. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5031928?\nAnswer: 2, 11, 211, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -7. Suppose 2*a + 2*o - 10 = 0, -2*a + 3*a - 17 = -g*o. Solve -4*n - u = a - 11, -3*n - 5*u + 11 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30.6 + -28.6. What is the closest to -1 in w, -3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20042 + -11492. Let q = -8550.6767 + g. What is q rounded to two dps?\nAnswer: -0.68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -10 (c) 5 (d) 0 (e) 2\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -6*k + 42. Let f(x) = 0*x**2 + x**2 - k*x - 25*x - 1 + 42*x. Give f(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-76382)\/14172*(-1 - 51\/(-24)). Let i = 14533387\/1181 + -12306. Let z = i + d. What is the common denominator of z and 43\/14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6335 and 509515?\nAnswer: 905","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 590077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + s)*(14*s - 211 + 211) - 4*s**2 + 2*s**2 + s**2 + s**2 + 2 - 2.\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 800*z - 7608 = -8408 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15124 and 190.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1835335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 252?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2978, 2744, 2510, 2276?\n\"Answer: -234*g + 3212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.3 + 1. What is the second biggest value in 7, q, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 5*n - 4 + 31, -2*s = -4*n - 18. Let q be (-5 - 96\/(-18))*1*s. Let h = 0 - -1. Does q = h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**8\/112 - g**7\/30 + g**6\/40 + 11*g**5\/60 - 2*g**3\/3 + g**2 - 27*g. Solve o(u) = 0 for u.\nAnswer: -2, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 250 and 93.9.\nAnswer: 343.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -139*z + 149*z - 17, 6 = z - 4*d for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(468) - (sqrt(468) - (-1 + sqrt(468)))))**2 + 4.\nAnswer: -192*sqrt(13) + 7508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51.69925l?\nAnswer: 51699.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, r: 2, h: 8, f: 2}. What is prob of picking 3 h and 1 e?\nAnswer: 28\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2760*l**3 + 1284170 - 642085 - 642085.\nAnswer: -2760*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**2 - 10*j - 2. Suppose -46 = a - 3*i - 175, -6*a + 894 = 2*i. Calculate the remainder when a is divided by b(7).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6, 12, 22, 36, 54?\n\"Answer: 2*k**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -7. What is the third derivative of 7*q**6 - 11*q**5 - q**6 + 11*q**5 + 11*q**x wrt q?\nAnswer: 720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7139*n - 7340?\nAnswer: -7139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*a + 104*a - 295 = m, 5*m + 35 = 5*a for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(0*f + f**3 + 0*f)*(8*f**2 + 16*f**2 - 40 - 22*f**2).\nAnswer: -4*f**5 + 80*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 5*f + 296, -33390 + 33209 = h + 3*f for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 5, 4*x + 95 - 244 = 5*g. Let i be (0\/(-2))\/(-1) - -24. What is the highest common factor of i and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -2. Let k = 16 - n. Calculate the highest common factor of k and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 + 51.58. Let m = u + 0.82. Let s = m + -1.4. What is the second smallest value in 3\/2, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 229461 to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 315 and 746865.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 11:36 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1090)\/(-1199))\/(4\/66).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-325)\/(-650))\/((-1)\/(24\/(-27)))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24704?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6575496 - 14*n - 6575479 + 13150975.\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204743.\nAnswer: 7, 11, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -940 + 940 - 6*u**2 - 8*u**2.\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.55 + 11.4. Let x = 9399\/7 - 1343. Which is the third biggest value? (a) x (b) -0.1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2887 - -2887. Suppose -71 - 4 = -3*m. Solve 2*n - 20 = -4*d, 5*d = -z*n - n + m for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -464 - 1a?\nAnswer: -481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.449 + 18.449. What is the third biggest value in -0.7, 8, r, 1\/6, -3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 8:47 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 - -4. Let o = m + -25. Solve 0*z - 3*z = o for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16906484?\nAnswer: 2, 7, 37, 16319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8003, -16014, -24029, -32048, -40071?\n\"Answer: -2*m**2 - 8005*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by (-8 + 7 + (-52)\/2)*-1?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3823*v + 3801*v + 396 = 0. Solve b + v = 4*o, 16 - 1 = 3*o for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16362679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(1125\/(-198) + (-4)\/(-22)). Let p = -34115\/12 - -2845. Let w = 11\/6 - p. Which is the closest to v? (a) 3 (b) 2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 4:48 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.18092837 - 22.459\nAnswer: -22.27807163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 + 5238369*t + 408611034.\nAnswer: -3*(t - 1746201)*(t + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11914, 23819, 35670, 47467?\nAnswer: 59210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**8\/147 + 4*i**7\/245 + 9*i**6\/70 - 9*i**5\/14 + 27*i**4\/28 - 625*i**2. Find c, given that k(c) = 0.\nAnswer: -3, 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -17. Suppose 2*n + 3*n + 5 = -a*r, 5*n - 3*r - 30 = 0. Suppose -3*p - 103 = -y, -2*p - 3 = n. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3878 * -19\nAnswer: -73682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 196 and 11565484.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 + 54. Suppose 59 = 4*i + 3*z, i - r = -5*z + 14. Let w = i + -5. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 5*q + 49, -2*q + 4 = 2*l - 2. Suppose -8*m + 330 - 34 = 0. Suppose h - m = -16. Calculate the remainder when h is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11731, -23452, -35279, -47212?\nAnswer: -59251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31 by 2858.\nAnswer: -31\/2858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -14. Let v(c) = -c**3 + 5*c**2 - c - 2. Calculate v(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 + 0 + (1788 + -1778 - (0 + 14))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 - 22*p + 38. Give z(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 5*c + 2. Let x be o(-5). Suppose 27*d = 118 - 37. Solve 4*j - d*j = x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8815489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/338347799 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-10)*x)\/x*x*x**(-12)*(x**(1\/10)*x)\/x**(1\/23) assuming x is positive.\nAnswer: x**(-4587\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 17 - 41. Is 10\/(-4)*(-1 + q) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/27? (a) 0.06 (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 20*g. Let t(r) = 36060905*r**2. Determine t(m(f)).\nAnswer: 14424362000*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, 9, 3, -3, -2\/41519, 49?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/7 - 620*n\/7.\nAnswer: -2*n*(n + 310)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5439 + -315?\nAnswer: 5124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1478.919 to zero dps.\nAnswer: -1479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (36 + (-38 - (12 - 69)))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 593.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 665466401.\nAnswer: 307, 2167643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 973 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 390\/95 + (-9 - -5). Which is the third biggest value? (a) 2 (b) v (c) 4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47960 divided by -436.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -6 - ((-5 - -1) + -4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16.8141 + 16.8. Round v to 3 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t - 5*f = 3*t + 30, 4*f + 18 = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(363)*-3*-2 - sqrt(363) - (sqrt(363) + ((2 + sqrt(363))*4)**2)) - (((sqrt(363) - (-5 + sqrt(363)*-2))*3)**2 + 2 + 5).\nAnswer: -17891 - 1650*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10007*r**3 + 30034*r**3 - 10007*r**3 - 9980*r**3.\nAnswer: 40*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3134765946 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r - 215*r**2 + 1318 - 1320 + 217*r**2. Give l(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j - 17*j = -4. Suppose -4*c + 5 = 41. Let b be (-12)\/(-48) + c\/j. Sort 2, -14, b.\nAnswer: -14, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 4*u + a + 3*a + 6, 3*a = 15 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/10 and -115\/14856?\nAnswer: 74280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*w**2 - 2172*w**3 - 10*w**2 + 6418*w**3 + (2 - 3*w - 2)*(5 - 5 + w**2) to the form p*w**2 + m*w + l + s*w**3 and give s.\nAnswer: 4243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 3*r**5\/4 + 6936*r**4 + 63391251*r**3\/4 - 1739290569*r**2\/2 + 14957071833*r - 78523437630 = 0.\nAnswer: -4651, 10, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3 + sqrt(171))**2 + sqrt(171) + (-2*(sqrt(19) - (0 + sqrt(304))))**2.\nAnswer: -33*sqrt(19) + 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -41\/3? (a) -193 (b) 8 (c) 1\/7 (d) 0 (e) -2\/3 (f) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 15*g - 183 = 5, 8*u + 76 = 6*u - 2*u + 5*g for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**30\/n)\/n)\/(n**30\/n)*(n**(-4\/11)*n)**(-24) assuming n is positive.\nAnswer: n**(-179\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -6*w**3 + 2*w**2 - 2*w + 1. Let c = 14 - 16. Let y(l) = -l**2 + l. Let s(v) = c*y(v) - p(v). Differentiate s(k) with respect to k.\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23847 rounded to the nearest 100?\nAnswer: 23800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-1))\/r)**(10\/13)\/(r\/(r\/(r\/(r*r\/r**1)))*r**4)*(r*r**(-2\/5)*r*r*r)**(-30)*(r**1)**(17\/2) assuming r is positive.\nAnswer: r**(-2711\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/9, 5, 56, -5, 81, -1\/2, 1\/14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1680*t**2 + t + 14348?\nAnswer: 3360*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 2*w + 40, 2 = 2*g - 3*w - 64. Suppose p = o - g, 4*o + 7*p = 3*p + 144. Suppose 7*c + 42 = 10*c. What is the lowest common multiple of o and c?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jxxx when four letters picked without replacement from mjxmmammmxaxma.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 - n**2 + 0*n**2)*(n**2 - 2 + 2) + 12*n**4 - n**4 - 3*n**4.\nAnswer: 7*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 874 - 732. Calculate the greatest common divisor of j and 1207.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28203339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*c**2 + 38*c**2 - 222*c**6 - 34*c - 212*c**6 + 30*c wrt c.\nAnswer: -52080*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3256676*n + 8218. Let r(g) = 1189*g - 3. What is -8218*r(b) - 3*w(b)?\nAnswer: -1174*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -10*d - 1. Let q be l(-1). Suppose 3 + 16 = -5*s + 4*p, 3*s = -4*p - 5. Let o be q\/12*(-2)\/s. Which is bigger: o or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-144) - ((-3)\/(-4))\/3. Let p = 0.4 - 0.7. Let s = p + 0.1. What is the nearest to y in s, -1\/3, -2\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.3 - 98.3. Let a = -107.2 - v. What is a rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 10*y**2 - 4*y - 4. Let i(c) = c**2 - c - 1. Let p(t) = 3*i(t) - s(t). Let o be (-4*(-1)\/8)\/((-2)\/4). Give p(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1548424 or 13935809\/9?\nAnswer: 1548424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-4 + -1 + 36\/7). Suppose 4*b = 3*u, 4*u - 2*b = -f*b. Solve -3*r - 9 = 0, -5*l - 2*r = -u*r - 14 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -48*t**2 - 13*t + 2547. Let f(v) = 11*v**2 + 3*v - 637. Give -26*f(l) - 6*y(l).\nAnswer: 2*l**2 + 1280","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/3 and 8.88 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -20*s**2 + 17*s. Let q(j) = -7*j**2 + 6*j. Let u(i) = -6*b(i) + 17*q(i). Let l(o) = -12*o. Determine u(l(k)).\nAnswer: 144*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1764 + -357. What are the prime factors of x?\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 244467267?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 149058.2385 rounded to the nearest 10?\nAnswer: 149060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*g + g = -7425. Solve g*l - 27 = -207 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120658 (base 13) to base 9.\nAnswer: -724144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13*1\/(-6) - (974 - 976). Which is smaller: -12369 or q?\nAnswer: -12369","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1867 greater than 1.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4*u - 32, 4*q = u - 1 - 13. What is the first derivative of -6 - u + 10 + 3*y wrt y?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1612071088 to the nearest integer?\nAnswer: 1173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*g + 26 - 2 = -4*q + 76*g, 5*g + 46 = -3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5*((3*(-1 + sqrt(304)) + 2*1*sqrt(304))**2 - (sqrt(304) + 2*sqrt(304) + 2 + sqrt(304) + 2)) + 2.\nAnswer: -38028 + 680*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-15996)\/(-2511))\/((-14)\/(-189))\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 194.7611 + -10421159.1.\nAnswer: -10420964.3389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*x - 17*x - 11*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -19. Let t(w) be the first derivative of 3*w**4\/4 - 2*w**3\/3 + 3*w**2\/2 - 24. Does 17 divide t(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66 + 235. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 646*v - 942*v = 1101*v + 46101 for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f + 1. Let w(y) = 3*y + 2. Let r(j) = -5*a(j) + 6*w(j). Let k be r(2). Solve 2*z + 9 = k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -44*c + 3. Let w be t(6). Let p = 1051\/4 + w. Let u = p - 2. What is the common denominator of u and -113\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 0.2. Let w be ((-6)\/2)\/((-165)\/10). Let q = 0.271 - 0.171. Which is the nearest to d? (a) q (b) 2\/9 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2816 = -30*u. Is ((-31228)\/10)\/(u\/(-220)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1220708972 divided by -1?\nAnswer: 1220708972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3*g**3)*(0*g + 3*g + 0*g).\nAnswer: -9*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-15))\/(4\/20). Suppose 3*l + 2 = 5*l. Find the first derivative of l + q + 1 - 6*p**2 wrt p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddlddddlddndl. Give prob of sequence dlln.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7\/4, 0.2, 10, -10, 883?\nAnswer: 883","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 625 + 188?\nAnswer: 813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + m**2 - m + 79. Is t(0) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 + 39. Let p be (-4 + 5)\/((-2)\/14). Let u = t + p. Solve 2 = -f + u for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 g when two letters picked without replacement from ddvvgdexvvexvv?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (14 + -2 - (1 - -3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -72, -1, 1, -2.\nAnswer: -72, -3, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 214*i + 5390. Determine s(-25).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**3 - 94*q**2 - 32*q - 37. Let f be i(-31). Which is greater: -185\/27 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*v - 744 = 45*v for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/52*-2*(-3458)\/532.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 + -68 - (-3 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 20 = -6*f - 4*v, 5*f - 5*v + 65 = 0. Let w = f - -9. Let l be 3\/(0\/(-1) - -1). Solve s + 11 = -3*o, 9 = -l*o - w*o - 3*s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 169, 351, 533, 715?\n\"Answer: 182*o - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -v**3\/2 + 7*v**2 + 598*v. Let r(c) = -77 + 77 - c. What is g(r(l))?\nAnswer: 3*l + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -170, -936, -3016, -7064, -13734, -23680, -37556?\nAnswer: -56016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -14805.43 * 17\nAnswer: -251692.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21457 + -10788. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1745 or -1746?\nAnswer: -1745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q - 6. Let g be u(-6). Suppose 0 = -2*y + 6, g*p = 2*p + 4*y - 254. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15022, -15002, -15032, -15136, -15338, -15662, -16132, -16772?\n\"Answer: -4*i**3 - i**2 + 51*i - 15068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 10*t. Let k = -17 + 29. Let f(u) = k*u - 19*u + 5*u. Give w(f(c)).\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 2*a)*(5*a**2 - 3 + a - 7*a**2 - 5*a**2) + (-2*a**2 - 2*a**2 + 2*a**2)*(5*a - a - 3*a).\nAnswer: -16*a**3 + 2*a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-120)\/(-9) + -4)*36\/14. Let n = -25 + d. Let r be ((-4)\/(-6))\/(128\/60). Is n != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3949 + 16.5249. Let j = -15.64 - 0.36. Let i = j + r. What is i rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 + 15*m**4 + 0*m**2 - 4*m**4 - m**2 - 10*m**4 in the form x*m**3 + r + n*m**2 + z*m**4 + u*m and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -1\/12*z**3 + 0*z + 0*z**2 + 1 - 1\/16*z**4. Factor l(d).\nAnswer: -d**2*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 543865458 is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46\/3)\/(((-9348)\/76)\/369).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 887 is divided by 388?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -304, -322, -400, -568, -856?\nAnswer: -1294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + 2. Suppose -5*b + v = -110, 9 = 2*b + 4*v - o. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 158.93893 to 1 dp.\nAnswer: 158.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) -2 (c) 1\/4 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/sqrt(3)*-5 - sqrt(13)*4*-2.\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/3 + 44*m**3 + 98*m**2\/3 - 1420*m + 2751.\nAnswer: (m - 3)**2*(m + 7)*(m + 131)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, v: 1, h: 2, a: 1, j: 3, b: 1}. Give prob of picking 1 j and 1 h.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 491476 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 - -33. Sort 3, -6, i.\nAnswer: -6, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 197294\nAnswer: -4\/98647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -111. What is the highest common factor of y and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (1 - (-4 + 8 + -1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -f**7\/840 + f**4\/24 + 2*f**3\/3 - 2. Let h(n) be the third derivative of m(n). Find the first derivative of h(s) wrt s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 5*w - 2, 3*d + d = -w + 14. Calculate the least common multiple of 20 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 273 + -161. Let j = 165 - z. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.87 from -0.9606.\nAnswer: 1.9094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1df (base 16) to base 2.\nAnswer: -111011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6614 + 6616. What is the closest to d in -14, -0.5, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22540*o + 0 + 2 + 1 - 22510*o.\nAnswer: 30*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/(-565)*470\/158 and -23\/10?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a micrometer in nanometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 7*w**2 - 23*w - 6. Give a(-9).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k - 3*k**2 + 5 + 0*k**2 + 79*k**3 - 78*k**3. What is the remainder when 448 is divided by s(4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 1464*t**2 - 734*t**2 - 730*t**2 + 6 - 367106*t**3 + 367114*t**3.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/58)*j)\/(j\/(j**32\/j))*j**(5\/4)\/j**(-4))**(-2\/97) assuming j is positive.\nAnswer: j**(-4207\/5626)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 11*v - 17. What is z(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*q**2 + q - 12*q**2 + 0*q + 12*q**3.\nAnswer: 12*q**3 + 186*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6\/20549 - 1523645\/80716472. Calculate the common denominator of -9\/64 and f.\nAnswer: 31424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -371420, -1486443, -3344814, -5946533?\nAnswer: -9291600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (8\/20)\/((-6)\/(-60))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/2 (b) -5 (c) 5 (d) -60 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -121*r**2 - 4*r - 2. Let b be o(-1). Let f = 157 + b. List the prime factors of f.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -12, -4*o - o + 9 = -3*m. Solve -m*h + 20 = 2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 - 4. Let x = -78 - -88. Suppose 6 = -7*s + x*s. What is the smallest common multiple of w and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 744 and 651?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r + 5*l - 18 = 18*r, -r = -3*l + 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 7*x**3 - 3*x**2 - 2*x + 3. Let k(h) = h**3 - h**2 + h + 1. Determine g(m) - 3*k(m).\nAnswer: 4*m**3 - 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 11*x - 7*x + 10, 0 = 5*x - 2*s + 26 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**2 - 6*h + 8. Let g be c(6). Let p be ((1440\/(-14))\/20)\/((-4)\/(-98)). Let t = g - p. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 672022 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (5 - 13 - -3 - (-8 + -15))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 108 divided by -12\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/96 and 103\/22.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -361 + -861364564.038.\nAnswer: -861364925.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1336)\/(-835))\/(8*3\/210).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 68 = -37*s + 51*s, -2*k - 3 = 3*s + 8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 26*j - 99. Determine l(-20).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b + -b?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 2*n + 4, -187 + 189 = t - n for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -21 + (-13568)\/(-424) - 311\/31.\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 616632 is divided by 962?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13548 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2\/7 + 372*v\/7 - 17298\/7 = 0 for v.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 25, 40, 55?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, u: 3, f: 2, i: 1, w: 2, l: 1}. What is prob of sequence lc?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -k - 3*k - 4, -2*k = 3*z + 10. Let f(v) = 3*v. Let w(j) be the second derivative of j**3\/6 - 5*j. Suppose 6*m + 25 = m. Determine k*f(r) + m*w(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -62\/5, -5, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -520450 divided by 520450.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -3, 8\/15, 4.\nAnswer: -3, -0.2, 8\/15, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 173 in 2, -420, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**3 - 2218207*m*t**2 + t**2 - 483*t - 6433 with respect to m.\nAnswer: -3*m**2 - 2218207*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 353*i**2 + 118607*i - 202. Give g(-336).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3631?\nAnswer: 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14631, 29289, 43947, 58605, 73263?\nAnswer: 87921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(-3)*u*u\/(u\/(u*(u*(u**4\/u)\/u)\/u))*u**3*u\/u**(-2)*u assuming u is positive.\nAnswer: u**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 + 10639176*y + 7074504122436.\nAnswer: 4*(y + 1329897)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -11*z**2 + 142*z - 2711. Give d(0).\nAnswer: -2711","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/1*13\/(-52)*-8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/7378153 and 3\/119.\nAnswer: 51647071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -279800, -559610, -839420, -1119230, -1399040, -1678850?\nAnswer: -1958660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.3, 0.07, -1?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69462*l*s**3 - 145*l*s*v - 139*l*v - s**3*v**2 + 3*s*v**2 - v**2 wrt s.\nAnswer: 416772*l*s - 6*s*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 + 33. Suppose -22*r + 26*r - 20 = 0. Let d(a) = -5 - 2 - 13*a + 1. Let j(n) = -9*n - 4. Determine g*j(f) + r*d(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g**4 - 11*g**3 - 4*g**2 + 4*g + 52. Let s(k) = -2*k**4 + k**3 + k**2 - k - 1. Let x(i) = q(i) + 4*s(i). Differentiate x(p) with respect to p.\nAnswer: -12*p**3 - 21*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -2 - (5 + 1)) + -45 + 49?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 177661131 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 + u**2 - 2*u**2)*(-2*u**2 + 3*u**2 - 3*u**2) + 2*u**3 - 2*u**3 - 2*u**4 + (32*u**2 - 33 + 33)*(-2*u**2 - 4*u**2 + 3*u**2).\nAnswer: -100*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u - 5. Let j be b(6). Suppose -4*g = -3*g - j. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (2848\/(-468))\/(-8). Let y = -6\/13 - j. Suppose 6 = 5*u - 4. Is u < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15465761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) 7 (b) -5.8 (c) 2\/17 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 29*c - 25. Let p be i(30). Solve p*o = l + 20, -2*o + 10 = o - l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00324296143 rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 48\/(-162)*36\/(-16). Which is the biggest value? (a) -0.022 (b) v (c) -2 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10560.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 322 + 698. Calculate the least common multiple of j and 408.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 2:53 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*x - 3*x + 34. Suppose 10*k - 1728 = -x*k. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5*z**2 - 4*z + 3. Let y be k(1). Let a = -7 + 11. Solve 5*t - 3*j - 1 = -4, y*t + a*j - 4 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -n**6\/6 + 17*n**3 + n**2 + 3*n + 42. Find the second derivative of u(c) wrt c.\nAnswer: -20*c**3 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 133540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -79, -3650, -7219, -10786?\n\"Answer: p**2 - 3574*p + 3494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - r**2. Suppose -5*d + 4 = -3*d. Suppose -4*b + 6 = d. Give y(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -166, -297?\nAnswer: -428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 115442.96073 - 115442. Round y to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 6 = -6, -4*s - 4*m - 20 = 0. Let c be 54*(-1)\/(-2) - s. Calculate the greatest common divisor of 28 and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 1. Let x(w) = w**3 - 3*w**2 + w + 1. Let r(n) = 3*s(n) - x(n). Let f be r(0). Suppose -a + 6 = f. Solve -a = 3*i + 2, 4*i - 4 = -3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b - 2*b**2 - 4*b**2 - 7*b**2 + b to the form m + r*b + a*b**2 and give a.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 879363600?\nAnswer: 2, 3, 5, 23, 151, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16579*-2.672.\nAnswer: -44299.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 406 and 67857419.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 837 take away -708132?\nAnswer: 708969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**3 - 3*p**2 + 2*p. Let x = 279 - 281. Let v be g(x). Suppose -1\/8*w**2 - 1\/8*w**3 + v + 0*w = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -0.89. Let p = 0.04 + -0.03. Let j = p - g. Round j to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -5*d**4\/24 - 77*d**3\/6 + d**2 + 33. Let z be x(-35). What is the greatest common divisor of 2 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -16771 at least as big as -16764?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 y when two letters picked without replacement from {d: 2, y: 4, u: 1, a: 2, c: 1, o: 2}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -13*a + 15 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**15*j)\/(j*j**(1\/41)) assuming j is positive.\nAnswer: j**(614\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + (24\/3 - 1). Solve -p = 4*s - 2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -4, -0.05793, 0.3, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 623.348 nanoseconds in milliseconds?\nAnswer: 0.000623348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 3*z - 15 = -2*v, -4*v = -2*z - 12 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 2817.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32902 = -2082*j - 2793 + 10652 - 14515 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 241, 862, 1857, 3226, 4969, 7086?\n\"Answer: 187*p**2 + 60*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -210707721\/5 or -42141543?\nAnswer: -210707721\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*r - 3*r + 24 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -7*k - 1. Let g be w(-1). Suppose 0 = 3*n + 5*c, -3*n - 2055*c + 3 = -2051*c. Sort n, g, -3, 3 in descending order.\nAnswer: g, n, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from roooooro.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 981913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23052)\/51867*2\/(-4)*-3*111?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 0.2. Let k be (-1)\/((-2)\/26) - -1. Let g be k\/(-10) - (-2 - 0). Which is the closest to w? (a) g (b) 0 (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 = 79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 393 and 15.\nAnswer: 1965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**21*u))\/(u\/u**9))**24 assuming u is positive.\nAnswer: u**(-336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2135\/247 + -111\/13. Let o(w) = -9*w**2 + 4*w - 2. Let h be o(2). Which is the third smallest value? (a) -2 (b) h (c) l (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 7. Let r = -1 - w. Solve -6 = -r*a + 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 7*b - 18 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -11590.11333 to zero dps.\nAnswer: -11590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6745971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 0*w**6 + 0*w**4 - 35\/6*w**3 + 0*w**2 + 0*w**5 - 8 + 2*w**7 + 5*w. Find the second derivative of u(z) wrt z.\nAnswer: 1680*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 6:06 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 9*c**2 + 15*c - 2. Let d be k(7). Solve 3*z - 2*w + 3 = w, -d*w = -10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25219 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*x**3 + 500*x**2 + 15*x - 500.\nAnswer: -5*(x - 1)*(x + 1)*(3*x - 100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7595 and 154105.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 22*f**2 - 20*f - 22. Suppose -35*s = -5*s - 630. Calculate a(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -150 + -251?\nAnswer: -3a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + 27. Let q = 40 - g. Put 4, q, -1\/3 in ascending order.\nAnswer: -1\/3, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*c - 3*c + c)*(3 - 3 - c) + (-3 + 3 + 9)*(6 - 6 - 5*c)*(3*c - 6*c + 4*c) to r + k*c + v*c**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92961?\nAnswer: 3, 11, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 561*k - 144*k - 150*k - 56*k**2 + 57*k**2 - 267*k.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37082\/9, 0.3, 12, -1 in descending order.\nAnswer: 12, 0.3, -1, -37082\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a (base 12) to base 2.\nAnswer: -101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 399 + -204. Is 195 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -m + 28. Suppose 0*r + m = -4*r. Let y = r - -10. Let q(o) = 3*o - 2. What is q(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 2:26 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, -16, -3396, 0, -9 in ascending order.\nAnswer: -3396, -16, -9, -4, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3839*f**4 - 4*f**3 + 3*f**2 - 1887*f + 63 wrt f.\nAnswer: -92136*f - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aadd when four letters picked without replacement from dddaadd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-70)\/(-12) + (-14)\/(-84). Suppose u*t = 4*t + 83400000. Round t to the nearest 1000000.\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -763\/3 - -254. What is the smallest value in 95, f, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1525083 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-7) + 312\/42. Let r(z) = 2*z**2 - 3*z. Calculate the remainder when r(y) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + b - 21 = -3*n, b - b + 3*n = 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7629 divided by -2543\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29263 + -29266. Which is the third biggest value? (a) -6\/35 (b) j (c) 0.07 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 16*d**2 + 4*d - 19. Let w(m) = -m**3 - 12*m**2 - 3*m + 18. Calculate -3*h(t) - 4*w(t).\nAnswer: 4*t**3 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**4\/12 - y**2\/2 - 23*y + 6. Let o(r) be the first derivative of x(r). Differentiate o(l) wrt l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 7*f - 4. Suppose 5 - 16 = 3*y - 4*m, 2*m = -y - 7. Let s be y + 2*(-3)\/6. Give k(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 170*z**2 + 109*z**2 - 70*z**2 + (-11 + 10*z + 11)*(-2*z + z - z).\nAnswer: 189*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 7*l**2 + 5*l**3 - 2*l**3. Let w(r) = -2*r**3 + 3*r**2. Let i be (-4 - (-35)\/10)\/((-1)\/(-2))*3. What is i*n(u) - 7*w(u)?\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fppoe. Give prob of picking 1 f and 1 p.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence naa when three letters picked without replacement from uawafnu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541 is divided by 109.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 16. List the prime factors of (6 - -2 - -1) + r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 10:31 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 + 211 + 72 + -17?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 - 3*j**5 - 4*j**4 + 4*j**4 + 3*j**5 + (-2*j**4 + 5*j**4 - 4*j**4)*(2*j - j - 2*j) + (-2 + 6*j**5 + 2)*(1 - 3 + 4).\nAnswer: 13*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18)\/5*(-25)\/5. Calculate the highest common factor of 36 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1139 divided by 6434?\nAnswer: -1139\/6434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24729.\nAnswer: 3, 8243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3471080 is divided by 25336.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 6:27 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3*(-1 + 1*(4*(1*sqrt(95) - sqrt(95)))\/sqrt(5) + 0)*1)**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -21*j - 72, 11*v - 5*j - 1 + 197 = -27*v + 2*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + o - 14 = 0, 0*a - 5*o = -2*a - 18 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -1\/4 (c) 2 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 123*m**5\/7 + 3081*m**4\/7 - 3294*m**3\/7 - 6564*m**2\/7 - 312*m\/7 = 0.\nAnswer: -26, -1, -2\/41, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**5 - 5*v**4 - 240*v**3 - 920*v**2 - 1360*v - 720.\nAnswer: 5*(v - 9)*(v + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482313924.\nAnswer: 2, 3, 13397609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (144\/40)\/((-6)\/(-15)). Let j = f - 8. Let p(r) = r**4 - 2*r**3 + 5*r**2 - 4*r. Let o(k) = k**2 - k. Let v(u) = j*p(u) - 4*o(u). Factor v(l).\nAnswer: l**2*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -s**4\/24 + 3*s**2. Let y be p(-9). What is the greatest common divisor of y and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.0353 to one decimal place.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 6568357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**7\/105 + i**4\/8 + 17*i**2. Find the second derivative of d(a) wrt a.\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 - -3715703?\nAnswer: 3715713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011101100 + -10?\nAnswer: -101011101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - 0. Let o = -2 - k. Let v be 2*((-55)\/10)\/(-11). Which is greater: v or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -12. Let t(y) = -2*y**2 - 5*y + 12. Let b(u) = u**2 + 3*u - 6. Let g(h) = l*t(h) - 7*b(h). Solve g(i) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10241268997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 + 3 + 2071 + -2071 + -108\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -124*f + 4839. Let z be g(39). Let k(w) = -w**2 + 7*w - 4. Let i be k(5). What is the greatest common factor of i and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2948 is divided by 202.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 303*h**6 - 6731*h**5 + h**2 - 32 + 6731*h**5 - 5*h**2 wrt h.\nAnswer: 36360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-227)\/((-7)\/10 - 6\/(-12)). Suppose d + 355 = 5*l. List the prime factors of l.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccahhhhhhahhaa. What is prob of picking 3 h?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -106279337895 - -2.\nAnswer: -106279337893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 666 + p**2 - 666 + 4*p**2 - p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-20))\/(10\/20)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(24)\/(sqrt(8)*-2 + sqrt(8)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 34*j**2 - 51*j - 263. Calculate the remainder when v(-5) is divided by 114.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -12\/35, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 215 - 199. Let s = -775 - -784. Solve -13*i + b = -s*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkqxrqqqqqkqqq. What is prob of picking 1 k and 1 x?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 47 + 40655?\nAnswer: 40713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2 - 6*g + 7. Let m(i) = -2*i**2 - 5*i + 6. Let j(b) = -5*m(b) + 4*r(b). What is the units digit of j(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 4*q. Let y be w(-4). Suppose -2*d + 140 + 236 = 5*v, d - 2*v - 170 = y. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 43 + 2 = 0. Suppose -d*x = -0*x - 1865. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 464 and 14.\nAnswer: 3248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1227, 2416, 3581, 4734, 5887, 7052, 8241, 9466?\nAnswer: 10739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 >= 2120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2112927506 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/420*(-4305)\/63 - -10?\nAnswer: 81\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 10*u**2 - 7*u + 2. Let x be p(9). Suppose 2*c - 26 = -x. Solve -4*d + c*d + 5 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19 or -1472?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (13 - 0) + (-25 - -16). Let r(g) be the third derivative of 1\/30*g**5 + 0*g - 3\/2*g**p + 0*g**3 + 0 + 4*g**2. Find the second derivative of r(y) wrt y.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r + 7 - 8 - 4*r**2 + 5*r**2. Let y(j) = -j**2 - 2*j - 3. Let c be y(-3). Let k be u(c). Solve k*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 161 = 6*r. Suppose 91 = 3*s + 2*d + 14, 0 = -s - d + r. Calculate the smallest common multiple of s and 12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 104.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 22 = -2*m - 1, -5*y = -m + 5. Suppose m*w - 1310 = 7*w - 4*a, -3*a = 3. List the prime factors of w.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4074 - -4488. What is the remainder when 841 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11426*t**3 - 8178*t**2 - 3*t?\nAnswer: -68556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xgxxxgxg. What is prob of picking 3 g?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (89 + -84 - 1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -209*l - 77. Let b(a) = 16*a + 6. Calculate 77*b(q) + 6*j(q).\nAnswer: -22*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -1 - (-5 + 6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-136)\/(-119) + 4\/(-7).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6591294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1435521 at most -1435523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 + -4. Suppose m = 5*n + 3*i, 0*n - 2*i - 1 = -n. What is the least common multiple of n and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3415 (base 8) in base 4?\nAnswer: -130031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9}. What is prob of picking 3 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*z - 69 = 0, -3*w + 17 + 56 = 4*z. Suppose 3*q = -v + w, v - 5*q - 13 = -2*q. Does 16 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2475, 2406, 2323, 2220, 2091, 1930?\nAnswer: 1731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 837 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**5\/3 + 184*o**4\/3 + 2432*o**3\/3 + 6872*o**2\/3 - 812*o - 2352 = 0.\nAnswer: -21, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 495*m**4\/4 + m**2 - 109*m + 1037. What is the second derivative of x(b) wrt b?\nAnswer: 2970*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/9 and 4\/149?\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**4 + 21*t**2. Let f(g) = 4*g**4 + 106*g**2. Let u(i) = -3*f(i) + 16*x(i). What is the third derivative of u(h) wrt h?\nAnswer: 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36300 divided by 3\nAnswer: 12100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -22. What is the highest common divisor of 7 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, g: 1, s: 5, z: 3, n: 1, k: 4}. What is prob of picking 2 z and 1 g?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**5\/2 - 30745*r**4\/2 - 351585*r**3 + 4041280*r**2 - 11515600*r + 7841280 = 0 for r.\nAnswer: -6126, -32, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8800 and 380?\nAnswer: 167200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**2. Let f(i) = -12572989*i**2. Give t(f(a)).\nAnswer: -316160104788242*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.3 - -1.3. Let d be ((-1)\/(-11))\/((-2)\/(-4)). Put f, -5\/2, d in descending order.\nAnswer: d, -5\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 4540*l + 920. Calculate q(0).\nAnswer: 920","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 1081.66.\nAnswer: -3244.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 9*o**2 - 2*o - 5. Let k be c(4). Let v = k + 45. Let g = v + 271. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*p = -96 - 45 + 23. Solve -5*b + n + 142 = 138, 2*b = p*n for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -133, -3\/8, 1, 0.4, 2, -19 in descending order.\nAnswer: 2, 1, 0.4, -3\/8, -19, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 986116.8 decades in centuries?\nAnswer: 98611.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 5*i - 25. Let y(l) be the first derivative of l**2\/2 - 5*l - 1. Calculate y(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/1*(-1)\/(4 + -1). Let o be ((-40)\/3)\/(824\/120 + t). Suppose 59 = h + i, -2*i + 281 = 3*h + o. What is the greatest common factor of h and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*h**2 - 3*h**2 + 0*h**2)*(26*h**2 - 1062*h**2 + 40*h**2) to l*h + b*h**4 + f*h**2 + r*h**3 + x and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47.952 - -0.048. Let s = -53.1 + g. Let i = 1.1 + s. What is the closest to 0 in 0.1, -2\/7, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6*l**2 + 1283*l - 2731. Let r be h(-216). Suppose 0 = 5*n - 156 - 9. Calculate the highest common factor of n and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 14. Let l = 3 - g. Is 4 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34146054?\nAnswer: 2, 3, 107, 17729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2. Let q(j) = -7*j**2 - 6*j - 3. Let p(v) = -9*v**2 - 4*v - 2. Let c(l) = 3*p(l) - 2*q(l). What is c(t(o))?\nAnswer: -52*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 6*c + 3. Let o(h) = -2*h**2 - 4*h. Let n be o(-3). Let k be i(n). Suppose 2*g - 45 - 8 = -5*l, -31 = -k*l - g. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -2 + 10 + -11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - 0.15395525?\nAnswer: -10.15395525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314*u = -320*u + 30 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -3, 23, -0.2, -2\/9, 2\/51, 0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-4))\/((57\/84)\/(-19)). Let p(v) = -v**3 + 15*v**2 - 10*v - 49. Calculate p(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 130*g + 93. Let t be s(11). Let f(o) = 7*o - 1. Let z(h) = 1. What is t*f(w) - 6*z(w)?\nAnswer: -42*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 7 = -s, 8*t - 4*t = -s + 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**3\/5 - 894*p**2\/5 - 15363*p\/5 - 13608 = 0. What is p?\nAnswer: -280, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31.96779*-0.4.\nAnswer: 12.787116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86 + -76. Let b = l + 347. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 - 209. Let r = q + 527. Calculate the greatest common factor of r and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (0 + 1 - -7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -4*u**2 - 5*u - 8. Let g(k) = -10*k**2 - 11*k - 13*k**2 - 5 - 12 + 14*k**2. Give 6*g(x) - 13*r(x).\nAnswer: -2*x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*f - 396 - 306 + 872 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -9. Suppose 2*b - 2*r = 4, -4 = b - 0*b - u*r. Suppose -5*n + n + b = 0. Which is bigger: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1046?\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 13*d - 472. Let q be 394\/11 - ((-280)\/220)\/7. Determine x(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebeebkeeebebbbbbbkbb. Give prob of picking 1 e, 1 b, and 2 k.\nAnswer: 77\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4498713436 + 14826553562. Let i = 10327839910.99999806 - c. Let p = -215 - i. What is p rounded to 7 dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(5\/1)*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/6*21*6\/(-6)*6.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 + -26. Calculate the greatest common divisor of w and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11228019*w**3 - 7390715.\nAnswer: 33684057*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 u, and 1 t when four letters picked without replacement from {u: 3, j: 6, t: 1, d: 3, x: 1}?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2623 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -320 - -325. Solve 0 = -2*h - b, -h - c*b = -b for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = x - 799, 10*s - 7*s = 4*x - 3157. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.32 - -60.68. Let v = j - 60.7. Which is the third biggest value? (a) -0.4 (b) -2\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21389?\nAnswer: 73, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1115815 to the nearest integer?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from {c: 3, x: 2, f: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 498123 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 2)*(-3*k**2 - k**2 + 2*k**2)*(1 - 2 + 3).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 5\/4, 4\/3, -4, 9.75, -13?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -0.5, 232 in decreasing order.\nAnswer: 232, 1\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - ((sqrt(76) - sqrt(76)*2) + sqrt(76) - sqrt(76) - sqrt(76))*3)\/(sqrt(20)\/(sqrt(5)*1))*4.\nAnswer: 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1932 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.1 + -1. Let k = -1.4 - -1.37. Let t = 0.97 - k. Which is the third biggest value? (a) 6 (b) v (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 156449390 and 18.\nAnswer: 1408044510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 196\/10*-87*4310\/87493?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 2)*(-1 - 1 + 1)*((2 - 2 - 6)*(0 + 0 - m) + 0*m - m + 0*m) in the form q + y*m and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of l**5\/20 - l**4\/3 - 23*l**3\/6 - 19*l**2. Let s(b) = b**2 - 1. Let x(z) = -j(z) + 4*s(z). Is 7 a factor of x(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**3 - 5*f**2 - 6*f + 9. Let m be w(4). Suppose 0*k - m = -11*k. Factor 6*y**2 - 19*y**k + 4*y**3 - 3*y**5 - 65*y**4 + 77*y**4.\nAnswer: -3*y**2*(y - 2)*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 257950416?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 + 1)*(-16180*l**2 + 42*l**3 + 16180*l**2).\nAnswer: 168*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 475.07 - 475. Sort -0.5, x, -2 in ascending order.\nAnswer: -2, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 + 40. Suppose 7 + a = 4*m. Solve -m*c + n = -2, c + n + 13 = -2*n for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 36. Let u = k - -107. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9a6d5 (base 14) to base 5\nAnswer: -43441142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1201?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*f**3 + 8*f**3 + 17*f**3)*(-1 - 1 + 3)*(-3 + 4 - 2).\nAnswer: -17*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -0.6 (b) 5 (c) -1 (d) -6875 (e) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - w**2 - w**2)*((-3*w - w + 2*w)*(-56 + 14 - 36) - w - 3 + 3).\nAnswer: 155*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -s. Suppose 0 = -4*i - s*i + 12. Let h(z) = -i*z**3 + 7*z**3 + 1 + 2*z**3 + 7*z - 9*z. What is h(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/15)*w)\/w*w**(1\/41)*w assuming w is positive.\nAnswer: w**(712\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2180*h + 9189 = -266*h - 48231 for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63*d**4 + 9*d**3 + 2*d**2 + 191*d.\nAnswer: -756*d**2 + 54*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**5\/7 + 4*p**4\/7 + p**3\/7 - 10*p**2\/7 - 4*p\/7 + 8\/7 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**3*z**3 - 4*f**3*z**2 + 18*f**3 - 2*f*z**3 + z wrt z.\nAnswer: 6*f**3*z - 8*f**3 - 12*f*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 3*c + 3*s + 5, -5*s + 67 = 3*c. What is the first derivative of c + n + 8*n + 6*n wrt n?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -163\/36 - -25\/12. Which is the nearest to -1? (a) 1\/5 (b) l (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 876140 a multiple of 1234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0, 0.155, 2239?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 5 - 4)*(2 - 2 + 3) - 5 + 2 + 1)*(n - 2*n + 0*n)*(-n + 2*n**3 - 6*n + 4*n).\nAnswer: -20*n**4 + 30*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20669?\nAnswer: 11, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/1)\/(1 - 3). Let z be 2065\/(-30) + 10\/12. Let c be (2\/(-7) + z\/(-140))*3. Sort n, c, 18 in descending order.\nAnswer: 18, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -138545 or -138523?\nAnswer: -138523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18090 is divided by 2260?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4 + (sqrt(45)\/(-3*sqrt(1296) + sqrt(9)) - 3*3*sqrt(80)))**2.\nAnswer: 2522*sqrt(5)\/7 + 1596246\/245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h + 6*h - 3*h - 4*h + 15.\nAnswer: -4*h + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5604268 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.202 (b) 0.4 (c) -2\/3 (d) 22 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*f + 50*f = -3*i - 44006, 5*f + 44008 = -4*i. Round f to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 * 128.8.\nAnswer: -2447.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (6\/(-2) + 4). Let c(m) = m**2 - 2*m + 1. Determine c(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15059972?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -23*c. Let r(g) = -27*g + 65 + 69 + 5*g - 135 - 7*g. What is n(r(t))?\nAnswer: 667*t + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -654522 + -13?\nAnswer: -654535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12310.37 - -12577. Let y = 266.35074 - s. Let i = y + 0.28. What is i rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 866 - 5195\/6. Which is the fourth smallest value? (a) 6 (b) t (c) -2 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 2. Let k be s(3). Let j = k + 17. Calculate the lowest common multiple of 2 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + 4 + 4 + (-8 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 765*j - 12952. What is l(17)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 3*z = 2407860, 23*l - 802622 = 21*l - 2*z. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -376, -422, -490, -574, -668, -766, -862, -950?\nAnswer: -1024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l - 16. Let u be o(-11). Let p = -7 + u. Suppose i = 4*x + 16, 6*x = -2*i + 3*x - 12. Which is bigger: p or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 1, 5810?\nAnswer: 5810","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (0 + sqrt(288) + -2 + -3)**2 + 2.\nAnswer: -120*sqrt(2) + 319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -196600\/93 + 2114. Suppose -4*c = -5*r + 12, 0 = -3*r + c + 5 - 2. Is r equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 0*n**3 + 1\/4*n**4 - 2*n + 0 + 5\/2*n**2. Let w(q) = -3 + 3*q + 2*q - 5*q - 2*q**2. What is 3*b(v) + 5*w(v)?\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmrp when four letters picked without replacement from {m: 2, p: 2, r: 8, o: 4}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 7*c + 4. Let j be q(-6). Let l = -12 + j. Let h(y) = -2*y. Calculate h(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4495 = 3*w - 5*d, 2*d + 1200 = 2*w - 1798. What is w rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*i - 89*i = -1380. Let w = i + -337. Put 4, w, -1 in ascending order.\nAnswer: -1, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17458.\nAnswer: 2, 7, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 961 + -887. Calculate the remainder when m is divided by 67.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -6 - 4. Suppose k*s + 23331 = -2*d - 96677, -2*s + 4*d = 119984. What is s rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 13*v**2 - 34*v + 12. Let y be i(-4). Suppose 2*x - 4 = -0. Sort -3, y, -5, x in ascending order.\nAnswer: -5, -3, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 13. Let p be k(-14). What is the nearest to -2\/3 in p, -0.3, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 + 38. Let s be ((-6)\/4)\/(3\/f). What is the highest common divisor of 2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**2 + 149*j + 42. Let u(v) = v**2 - 18*v + 16. Let a be u(19). What is the tens digit of s(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a meter in millimeters?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 231.9 - 232. Let j = -26 - -29. What is the second smallest value in j, 9, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 8*w**2 + 2*w + 11. Let x be i(9). Let q = -27 - x. Is q a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -33*g - 5. Let a(c) = 100*c + 16. Let s be (3\/72*(-24)\/(-3))\/((-2)\/(-30)). What is s*a(i) + 16*m(i)?\nAnswer: -28*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1)*2\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y**3 - 29*y**3 + 5*y**3 + 11*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z - 1314 = -22*z. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.608 - 2.608. Sort -51, 0.3, k, 6, -3.\nAnswer: -51, -3, 0.3, k, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 o, and 1 y when four letters picked without replacement from {o: 8, j: 10, y: 1}.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 + -43.8. Let h = -8 - -6. What is the third biggest value in 1\/9, m, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -118, -1375, -4838, -11611, -22798, -39503, -62830, -93883?\n\"Answer: -184*r**3 + r**2 + 28*r + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90884644.\nAnswer: 2, 22721161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7184426 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 696 (b) 0.5 (c) 8\/3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 267 - 199. Let j(f) = -4*f - 19. Calculate the remainder when l is divided by j(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 a when two letters picked without replacement from lywawyllcyl?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b. Suppose 4*v = -2*d + 16, -4*d - 3*v + 6 = -6. Suppose d = -3*t + 5*t - 6. Let p be w(t). What is the greatest common divisor of p and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 + 331?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 532 - 4*g - 1586 + 523 + 531.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2113223 + 13131?\nAnswer: 2133020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + c. Let x(f) = -f**3 + 6*f**2 - 6*f + 13. Let j(d) = -2*a(d) - x(d). Let n be j(-7). Solve -2*m = -0*m - n for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 21 = w. Suppose -w*o = -11*o + 36. Suppose o*m - 4*m = j + 207, 0 = -m + j + 43. Calculate the remainder when 80 is divided by m.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/3)\/(-24)*-16*3\/258.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -31. Let w be (2\/(-2))\/(4\/c). Solve -w*n - 2 = -3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**3 - 3*u**3 - 279*u**3.\nAnswer: -279*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3196)\/940 + (-16)\/(-20)*(-5)\/(-1). Suppose 36\/5*v + a*v**2 - 39\/5 = 0. What is v?\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 226*x**3 + x**2 + 59*x - 59. Determine b(1).\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(17\/5)*m)\/((m*m\/m**(-22))\/m))\/(m*m**(1\/15)\/m*m)**(-6\/13) assuming m is positive.\nAnswer: m**(-1554\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0344 in 2\/7, -386, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -18. Let z = 25 - 31. Let i = v - z. Which is the nearest to -2? (a) i (b) 2\/9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/39717 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (109\/(-2))\/((-33)\/16 + 2). Suppose -3*v - 5*v + b = 0. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -9852, 1 in descending order.\nAnswer: 4, 1, -5, -9852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (667 - 337 + 1570 - 218)*(-2*m**3 + 0*m**2 - 4*m**2 + 4*m**3).\nAnswer: 3364*m**3 - 6728*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 + 47. Suppose i + 0*c - 7 = -3*c, -4*i + 12 = -g*c. Suppose -i*h + 4 + 8 = 0. What is the greatest common divisor of h and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(-39))\/(4\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p + 0*p**2 + p**2 - 1 + 4*p - p. Let r be k(-5). Is (-141)\/r + 3\/(-2) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/(-9)*204\/(-8). Let l be (-6)\/(-51) + 10\/z. What is the second derivative of -o + 2*o - 18*o**3 + o + l*o wrt o?\nAnswer: -108*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -470 + 454 = 2*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000345947413 to 7 decimal places.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 9422 + -1282. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2978 - 1330. What is the remainder when y is divided by 87?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 8, f: 3, c: 2, k: 3, y: 1, b: 1}. Give prob of sequence of.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 53453929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 96 = 7*n. Suppose 2*z = k + 3*k - 8, -2*z - 4*k + n = 0. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27888 bigger than 2480?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2097 + 13250 = -593*r - 3551 - 7787 for r.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*a - 2*a - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000205943257 to seven dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 7 + -14 + (11 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (269*h + 265*h - 129*h)*(3 - 2 + 2)*(-6*h**4 + h**4 + h**4).\nAnswer: -4860*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 0.116, 3, 1\/2, 12?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 13, -1, 3.\nAnswer: -1, 0, 3, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from ejxjeejjfsffsjxeiee?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15670 = 17*a + 2597. Let z = -521 + a. What are the prime factors of z?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3520 - 5282. Let m = u - -1761.127. What is m rounded to 2 decimal places?\nAnswer: -0.87","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -5\/6 (c) 0.49 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 486\/14 - (-10)\/35. Let o = -23 + m. Solve 4*j - j = o for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1451124 rounded to 2 dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (11 - 15\/3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m - 14. Let d be i(2). Suppose -4*f - 5*v + v = -68, -3*v = -5*f + 77. Let p = f + d. Solve -y = -3*y + p for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -42.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.26 + -0.26. Which is the nearest to -1? (a) -2\/3 (b) 4 (c) -4 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 44 - -1101621?\nAnswer: 1101665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -15 (b) 3\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29681548 is divided by 231887?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 0, -35, 2 in decreasing order.\nAnswer: 2, 3\/2, 0, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.21 = 249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 7 = 8. Suppose -2*g = 4*n - 0 - 4, 3*g + 4 = 4*n. What is the closest to -0.1 in o, 2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/1414 and 31\/429240.\nAnswer: 43353240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13\/258 - 2995\/129. Find the common denominator of d and ((-38)\/(-16))\/((-10)\/8).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406724023.\nAnswer: 1307, 311189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 966612 and 68.\nAnswer: 16432404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.943 + 0.083. Let t = v + 3.8599801. What is t rounded to 6 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 10:26 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 14*m - 38. Determine f(12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 30463 = -4*j, -m - 3*m = -5*j - 40618. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 228\/20 - (-4)\/(-10). Let n = 1 + q. What is the highest common divisor of n and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32359004?\nAnswer: 2, 41, 197311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + v + 1. Let n be (-1)\/11 - 529\/(-253). Let m(q) = -221*q**2 + 2*q - 211. Let x(s) = n*o(s) - m(s). Find the first derivative of x(f) wrt f.\nAnswer: 446*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*l = -68010, 45637 = 3*t + 5*l - 5388. Round t to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000057848769 rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3208212*x**3 + 1 + x**4 - 3208212*x**3 + 1544*x**2 + (-x + 0*x - x)*(-3 - 2*x**3 + 3) to the form m*x**3 + v*x**2 + y*x + d*x**4 + b and give v.\nAnswer: 1544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*w + 2*v = -34, 0 = -4*w - 2*v + 54. Suppose -13155 = -w*r - 4*r. List the prime factors of r.\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 814*w - 281*w = 14391 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -13*s - 2. Suppose 4*z - 3954 = -5*v, 4*z + 786 = 20*v - 19*v. Let m(u) = 1581 + 0*u**2 - v - 2*u**2 - 791. What is m(w(n))?\nAnswer: -338*n**2 - 104*n - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18, -48, -90, -150, -234, -348, -498?\n\"Answer: -g**3 - 23*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-28)\/v**35)\/(v**(-1\/13))**(-10\/3))**(1\/9) assuming v is positive.\nAnswer: v**(-2467\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifty-five quarters of a kilogram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-5)\/c*c)\/c**(10\/13))\/((c*c*c**12)\/c**(-23\/4)))**(-4) assuming c is positive.\nAnswer: c**(1275\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 127747 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 8268.\nAnswer: 82680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18834944?\nAnswer: 2, 36787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 4*l + 3 - 3)*((-2 + 1 + 4)*(1 + 1 - 3) - 1 + 3 - 4) to the form r + n*l and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 57*k**2 + 380*k + 4229. Give b(47).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 5*p + 10 = -3*m, 0 = -5*m + 3*p for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -3 + 0*h - h + 2*h**2 + 0*h - h**2. Let g be 9 + -10 - (6 + -6). Calculate t(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**3 + 11*y**2 + 11*y + 13. Let m(q) = q**3 - 5*q**2 - 5*q - 6. Let h(s) = -9*m(s) - 4*u(s). Calculate the remainder when h(2) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -3\/4, -1\/7, -1, 70, -3, 43, -0.28?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, d: 1, f: 1, e: 3, n: 1}. What is prob of sequence ef?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 37861 rounded to the nearest 1000?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 8139 + 2489. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/80 of a meter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*i*j**2 - 4*i*j - 292*i - 13505*j**2 + 25*j wrt i.\nAnswer: -15*j**2 - 4*j - 292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*l - 3872, -4*l = 5*w - 3*l - 4821. What is the remainder when w is divided by 81?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*t - 25*t - t**5 + 5*t wrt t?\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7655 + -2800. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*j**3 + 6*j**3 + 10*j**3 + 7*j**3 + 0*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3190948 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 5*i - 8 = 0, -503*i = 5*x - 479*i - 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-12)\/(-22) - (-24)\/(-33).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k**2\/8 - 67702023*k\/4 - 6770202 = 0. Calculate k.\nAnswer: -9026936, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 34971 divided by -3\nAnswer: -11657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 1\/2, 0.71?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 553549765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - (sqrt(17) + -1 - sqrt(17))*-5) + 3)**2.\nAnswer: -4*sqrt(17) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*a - 2*m, 5*a + 10*m = 11*m - 11 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 7 = -8. Let b(p) = -2*p + d*p - 2*p. Let w(s) = 15*s - 19*s - s - 14*s + 7*s. Determine b(w(n)).\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -152, -153, -154?\n\"Answer: -m - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4507 - -4498. Let w(j) = -j**2 - 11*j - 18. What is w(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*v**2 + 1427*v - 13 - 86*v**2 + 46*v**2 - 1386*v - 2*v**3 to n*v**2 + h*v + q + g*v**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -195*d*n*w**2 - 2*d*w - 2*d + 2*n*w**5 + n*w**2 - 25*n*w + n wrt w.\nAnswer: -390*d*n + 40*n*w**3 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-2\/19))\/u**15)**(-3\/5) assuming u is positive.\nAnswer: u**(792\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 1\/28 (c) 0.3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 112488 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9037*c**4 - 52*c**2 - 34*c wrt c.\nAnswer: 216888*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 2*a + 30 = 3*k, 4*k = 20 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1460)\/40)\/((-90)\/(-36)) - (-1)\/10?\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -434 - -433.234. Let s = 0.178 - t. What is s rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**3 - 3*p**3 + p**3 + (-4*p + 0 + 0)*(-p**2 + 5*p**2 - 2*p**2).\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 82.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1235?\nAnswer: 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 1, -127, 3, -20 in descending order.\nAnswer: 3, 1, -4\/3, -20, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 51 = -2*u + 67, 4*u - 236 = -3*t. Let c = 170 - u. Suppose 6*i = 9 + c. What is the smallest common multiple of i and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 9 = 15*l. Suppose 17 = -l*k + 3*t, t - 4 + 9 = -2*k. Let p = 18\/5 - 4. What is the closest to p in 0.3, -2\/5, k?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 9*x**4\/2 + 29*x**3\/3 - 85*x + 2. Find the second derivative of l(d) wrt d.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**3\/3 - 322*v**2 + 3460*v\/3 + 2450 = 0.\nAnswer: -245, -3\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/23, -2\/7, 0.04890201?\nAnswer: 0.04890201","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 4 - 10*r + 9 to the form l*r + k and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 85 + -90.9. Let m = -6 - p. Put 0.2, 1\/7, m in descending order.\nAnswer: 0.2, 1\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 + (-21 - -16) + -1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*p**2 + 7*p - 7*p)*(0*p - p - p) + 0*p**3 + 2*p**3 + 0*p**3.\nAnswer: -14*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -7*v + 74. Let g be h(9). Suppose -g*f - 3*r = -6*f + 32894, f + 2*r = -6576. Round f to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-20 - 44 + 0)*(-2*p**2 + 0*p**2 + p**2).\nAnswer: -128*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q + 0*q - 3*q)*(-2 + 2 + 1).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6180 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) -3 (c) 2\/27 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 28\/1223 (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 762491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 679 divide 1269958823?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -348\nAnswer: 104.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from gihhihrhhqiqhqhzrhr.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 139760617 and 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -118 or -8.53902?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 6. Suppose 0 = 4*z - 6*z + g. Let h be (z\/8)\/((-3)\/12) - -44. Calculate the greatest common divisor of 7 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 + -78)*(-4)\/12.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + (-1*sqrt(190)*-6)\/(sqrt(10) + 1*sqrt(250)) + -3))**2.\nAnswer: -200*sqrt(19) + 875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 940010 = 2*a, -a + j + 0*j = -469998. Round a to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u + 6*u + 8*u - 4*u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -15*j - 73. Let g be k(-5). Suppose 5*o + 7*r - 2*r + 10 = 0, -3*r = 4*o + 3. Solve g*v = 5 + o for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**3 - 11*n**2 - 4*n. Let z(x) = 5*x**3 - 22*x**2 - 9*x. Determine -7*o(m) + 3*z(m).\nAnswer: m**3 + 11*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/3 and 918.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.089 take away -294083243?\nAnswer: 294083242.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.09631 times 3565\nAnswer: -343.34515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 138?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 122415321 to the power of 1\/2, to the nearest integer?\nAnswer: 11064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((4*1*sqrt(130))\/sqrt(10) + 4 + -1*sqrt(1300)))**2.\nAnswer: -1200*sqrt(13) + 12100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 g when two letters picked without replacement from {y: 7, e: 1, g: 5, m: 1}?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/4 - (2 - 11). What are the prime factors of 135\/m + (-3)\/(-1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b + 12. Let z be v(-5). Let o(c) = -3*c**2 - c**2 + 5 + 0 + 5*c**z. What is the remainder when o(6) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 2*i + 5 + 2*i**2 + 3*i - 2*i**2. What is the units digit of f(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**(-2\/5)\/q))**(6\/29))**(2\/25))**(-29\/5) assuming q is positive.\nAnswer: q**(-144\/625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-three halves of a millennium?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1201 - -2020022?\nAnswer: 2022000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1197 and 1575.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(63) - sqrt(7)) + sqrt(7) - sqrt(7)) + ((-2 + sqrt(7))*4)**2.\nAnswer: -47*sqrt(7) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-8))\/(42\/(-7)). Let d(s) be the second derivative of -1\/48*s**4 + 0 - i*s**2 - 1\/12*s**3 - 2*s. Determine b so that d(b) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3032123301 (base 4) in base 6?\nAnswer: -30042333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6855858 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*i - 189*i - i - 189*i + 575*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57464540, -57464532, -57464522, -57464510, -57464496, -57464480, -57464462?\nAnswer: -57464442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5\/3, -37.33, -62, 0.5 in ascending order.\nAnswer: -62, -37.33, -4, 0.5, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 1450*t - 1406. Calculate the least common multiple of 18 and l(2).\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 91236 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(-1)))**(6\/13) assuming r is positive.\nAnswer: r**(6\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/(-2) - (-15)\/(-10). Differentiate 1 - 4*b + i*b - 2*b - 8*b**3 with respect to b.\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19757.\nAnswer: 23, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33.8 + 33.6974. Round r to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/7)\/(300\/70).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -19. What is the tens digit of 2*(-3)\/(d\/98)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 - -27.13. Let k = 4.13 - q. Do k and -0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 k when four letters picked without replacement from hkkhhkhhhhkkkhkh?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23085\/4942 + 10\/353. What is the common denominator of q and 13\/35?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5782*x - 283333. Give d(49).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, j: 9, n: 9}. Give prob of picking 1 h and 2 j.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -196416 by 36.\nAnswer: -5456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 - -3.8. Let j = -3.1 + g. Let w = 122.8 - 123. Which is the nearest to j? (a) w (b) -0.5 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*z - 462 = 0, -z + 701 = -5*t + 8*t. Let v = t - 205. Calculate the remainder when 88 is divided by v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-14)*p**10 assuming p is positive.\nAnswer: p**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1305412 plus -0.14327?\nAnswer: 1305411.85673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3350\/335*(-6)\/(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35375 is divided by 2899?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, j: 5}. What is prob of picking 4 j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 10) to base 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -2\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -8. Let w = 22 - 22.0000075. Let s = w - b. What is s rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208386691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i**2 - 3*i. Let n(y) = 16*y**2 + 10*y. Let k(c) = 3*n(c) + 10*v(c). Let a(f) be the first derivative of 2 - 1\/2*f**2 + 0*f. What is a(k(t))?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4995.17158 rounded to 1 dp?\nAnswer: 4995.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12265529695564 - -12265529606396.74859971. Let l = 89143.2514 + s. Let f = l + 24. What is f rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -189, -285, -381, -477, -573?\nAnswer: -669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c**4 - 43437528*c**2 + 3*c - 763307088 wrt c?\nAnswer: 4*c**3 - 86875056*c + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(315) + (sqrt(315) - (2*-1*sqrt(315) + sqrt(315) - sqrt(315)))))\/((sqrt(7) + sqrt(7) + (2*sqrt(28))\/sqrt(4))*1))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -311000 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4547894813 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of u**6\/360 - u**5\/60 + u**4\/24 + 6*u**3 + 17. Let h(q) be the third derivative of o(q). Factor h(v).\nAnswer: (v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j + 5 - 2 - 4 + (0 + 0 + 2*j)*(2 + 2 - 3) + (3*j - 5*j + 4*j)*(-5 + 0 + 4) in the form f*j + v and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 6 = r + 2*v, 8 = -3*r - 2*v. Let z be (12\/(-10) - r)*-9. Let w = z - -103\/15. Which is the third smallest value? (a) w (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/5 - (-1 + 1). Suppose -4*r + 2 = -2, r = -n*v + 13. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**6\/120 + s**5\/60 + 7*s**4\/24 + 5*s**3\/6 - 2*s**2. Is x(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) 7 (c) -4 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -21. Put 5, 0, i in descending order.\nAnswer: 5, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*p + 1517 + 345 = 0 for p.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 124 + -63. Let l = d - 5. Calculate the remainder when l is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-228)\/16)\/(2*(-3)\/16). Let w = -14 + f. Are 23 and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 21. Suppose -i*k + 170 = -k. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002115182322 to five decimal places.\nAnswer: -0.00212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4155145 (base 7) in base 6?\nAnswer: 14424221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2. Let v(r) = -1019*r + 2 + 1019*r - 29*r**2. Determine v(s(c)).\nAnswer: -116*c**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {o: 7, i: 6}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221011210110100 (base 3) to base 2.\nAnswer: -110011000010101100101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1206 - -71156\/59. Let l = z + -124\/177. What is the second smallest value in 2, l, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 62 = 4*r + 54, -4*r = 2*n - 8. Suppose -l = -3*q + 109, 4*q + r*l - 3*l = 144. What is the smallest common multiple of q and 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 12*n**2 - 4*n - 4. Let u be v(7). Let i = 185 + u. Let z = i - -157. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -109*c + 8. Let k(g) = 2*g + 1. What is 6*k(i) - w(i)?\nAnswer: 121*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 0*d**2 + 1\/3 + 2\/3*d - 2\/3*d**3 - 1\/3*d**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2224181191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1012708?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1268012*o**5 + 4780*o**2 + 3*o - 23 wrt o.\nAnswer: 76080720*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 - 11)*(332*h**2 + 24*h**2 - 100*h**2).\nAnswer: -3584*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*d**2 + 161*d**2 + 129*d**2 + d**2 + 87*d**2 + 11*d**2.\nAnswer: 443*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 24*y + 54. Let w be u(-22). Solve -27*m + 25*m - w = -4*c, -10 = m - 3*c for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.24 (b) -2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 35*v**2 - 10*v + 2. Let b(w) = -3276*w**2 + 945*w - 189. Let a(y) = 4*b(y) + 378*o(y). Let x(m) = -9*m. Calculate x(a(c)).\nAnswer: -1134*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1124 + 497 + 629 + 26*x**2.\nAnswer: 26*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 19*f - 168. What is the lowest common multiple of 336 and f?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwwwwwwuuwuu. Give prob of sequence wu.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**2 + 2*u + 5. Let r be z(5). Let f = r - -17. Let x = f - -67. Is 25 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/16922 + 237117\/3536698. What is the common denominator of d and 27\/38?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -742713.3 less than -0.3?\nAnswer: 742713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**7)**(1\/5) assuming i is positive.\nAnswer: i**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**3 - 6*c**2 - 5*c + 38. Let l be a(6). Is l at least -640?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 49\/2, 5, 0.3, -0.09?\nAnswer: 49\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -56.92 and 4021.7.\nAnswer: -228915.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 4.9 (c) -1 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 24*w**2 - 24*w + 17. Let d be c(-25). Let q(j) = j**2 + 3*j + 5. Let m(v) = v**2 + 2*v + 3. Determine d*m(f) + 5*q(f).\nAnswer: -3*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11.8735*4\nAnswer: 47.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1544)\/(-2895)*10\/8*(-66)\/4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukuuouokuok. Give prob of sequence uu.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = w, 0*w - 22 = -q - 5*w. Suppose q*u - 40 = -2*u. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 585.8913 months to centuries.\nAnswer: 0.48824275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 + 686 = 2*u - 3*v, -1306 = -3*u - 5*v. What is the highest common divisor of 7 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13370 - -16568. Solve -3190*d = -q*d + 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/18 and 57\/262.\nAnswer: 2358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**2\/7 - 192098*t\/7 = 0 for t.\nAnswer: -96049, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 33440000 rounded to the nearest 1000000?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(130) + sqrt(130))\/sqrt(10))**2 + sqrt(13) + (sqrt(208))**2 + 4.\nAnswer: sqrt(13) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 134457015 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 891*-23\nAnswer: -20493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -273, 0.2, -21, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -25*x + 789. Give k(-3).\nAnswer: 864","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10082218822881912 - 2*k**3 + 10082218822881914.\nAnswer: -2*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 76998 * -11.6\nAnswer: -893176.8","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*i = 136954 - 9386. Calculate the remainder when i is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12117b + 3?\nAnswer: -121178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 40401747 (base 8) in base 14?\nAnswer: 11bb2bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 135\/(-6)*368\/(-40). Calculate the greatest common divisor of 138 and h.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -13 - (-4 + -2 - -15) - -36?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 96, 98, 100, 102, 104?\n\"Answer: 2*i + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00034068135 rounded to five dps?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 10*r - 310. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -5)*(-64)\/(-64)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -70*(2 + (-128)\/60) - 10. Let m = -6 - -8. Which is the closest to -3? (a) -5 (b) l (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 - 1 = 2*z. Let v(i) = i**3 + 67*i**2 + 62*i - 260. Let x be v(-66). Solve 0 = u - 1 + 5, 0 = x*o + u + z for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3. Let q(o) = -o - 5. Let c(n) = -5*g(n) + 3*q(n). Let j(b) = 3*b + 1. Suppose -4*y + 965 = 157. Let x = y - 205. Determine x*c(h) - 2*j(h).\nAnswer: 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/(o*(((o\/o**(2\/3))\/o)\/o*o)\/o))*o**(-7\/5)\/o assuming o is positive.\nAnswer: o**(-46\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - q = -17, r - 5*q = 3*r + 7. Suppose 0 = -r*p + i - 4, -p = 2*i + 2*i + 1. Which is the second biggest value? (a) 3\/2 (b) -1\/8 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f + 2 + 2*f**2 - 3*f**2 + 0*f**2. Let u be x(-2). What is the units digit of (12\/(-7))\/(u\/(-14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 9614*f - 454069. What is d(47)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 350 divided by -5\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89014.\nAnswer: 2, 44507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + n + n**4 - 3*n)*(4*n + 0 + 0 + 1).\nAnswer: 4*n**5 + n**4 - 4*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*x**3 + 3*x**3 + 72*x**2 + 154*x**4 - 380*x**2 + 147*x**2 wrt x?\nAnswer: 3696*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(171) + sqrt(171)*2))\/(sqrt(729) + 2*sqrt(729)) + (-2*-3*((sqrt(19) + -1)*-1 - sqrt(19)))**2.\nAnswer: -1294*sqrt(19)\/9 + 2772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1470 - -1481. Is 13\/7 at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 848*m + 4857*m - 5184*m.\nAnswer: 521*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14111.4 or 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-18 + 30)) + 21\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 4*a - 5*w + 16, -2*a - w + 37 = 0. Suppose 3*p = -p + a. Suppose -4*f - z = -6, p*f = -z - 4*z. Solve -4*y - 10 = -2*u, -f*y + 4*u + 1 = -y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*j + 38 + 100 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2. Let g(f) = 30864*f. What is p(g(h))?\nAnswer: 952586496*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 807.4 plus -12828?\nAnswer: -12020.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 12:33 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 bigger than -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 107131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1235279490 divided by 6?\nAnswer: 205879915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16320 and 411382320?\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3135801437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79 - -81. Suppose 3*p = i - 1, -1 = -n*i - 5. Calculate the common denominator of 71\/24 and (12\/(-8))\/p + 20\/(-18).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 719\/1086 + 5\/1086. Factor g*l**2 + 0 + 0*l.\nAnswer: 2*l**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/5869 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25431825.\nAnswer: 3, 5, 339091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 399130987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -189 (base 12) to base 4\nAnswer: -3321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 676 a factor of 205728432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57508 is divided by 1855?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/12 and -79\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/83, 2\/9, -3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*j**2 - 1 + 3*j**2 + 9*j**2 - 4 wrt j.\nAnswer: 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479123752.\nAnswer: 2, 59890469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17c (base 13) to base 6.\nAnswer: -1132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 2*x + 716, 4*o + 380 = 3*x - 326. Let h = 180 + o. Solve -z - 5*s + 3 = 0, 8 = 4*z - 7*z + h*s for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -9*b - 2*m - 6, -m = 0. What is the second derivative of -4*j**3 - b*j**3 + 5*j**3 + 73*j - 4*j**3 wrt j?\nAnswer: -54*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 250*l**6 - 3867*l**2 wrt l?\nAnswer: 30000*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -3*v + 18*v + 169 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (59*l - 112*l - 14*l)*(2*l**2 + 3*l**2 - 4*l**2 - 2*l**3) in the form k*l**4 + u*l + x*l**3 + f*l**2 + v and give k.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*f + 4*d, f + 5*d = -2*f - 14. Let r(m) = -m**2 - 4 + 6*m**2 + f*m**2. Let u be r(2). What is the greatest common factor of 3 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - (64 + -16 + -25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -656 (base 11) in base 16?\nAnswer: -313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51 (base 14) to base 15.\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69489177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.29 - 2.4. Let n = 2.89 - k. Let c = 377\/1295 - 1\/185. What is the nearest to c in -2, n, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/5*440\/132. Let y be (23 + -24)*(-3 + 2)\/q. Which is bigger: -27\/2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010068899 to 6 dps.\nAnswer: -0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (24 - 1184\/48)\/((-22)\/(-12))\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + -29 + 58 + (-39 - (0 + (-3 - -4))).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (49 + -11 - (5 + -2)) + -11.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - -1001221210012121?\nAnswer: 1001221210012101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, q: 4, j: 1, k: 2}. Give prob of sequence xkj.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 43*d**2 + 134*d + 26. Let i = 92 + -35. Calculate the remainder when n(-46) is divided by i.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - v - 8, -8*v = -3*v + 15. Let j(n) = 1 - 3 + 3 + n. Let a be j(-1). Put z, -1, a in decreasing order.\nAnswer: a, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -701 + 673 + (23 - 1)\/(1 - -1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 14*w**2 + 12*w + 1. Let q be u(-1). Solve q*m - 30 = -12 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 10 = 5*k, v + 2*k - 11 = -0*v. Suppose 0 = h - v. Does 5 divide (-128)\/(-40)*(0 + h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -95 - -194. What is the highest common divisor of 11 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -357*g**2 - 14045*g - 4758. Give p(-39).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -211, -421, -475, -367, -91, 359?\nAnswer: 989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 142896 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 78569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 5 (b) 0.4 (c) -0.1 (d) 4916\/3 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 + 20 = -5*l for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 5*z + 3. Let v be u(5). Suppose v*h = 8 + 13. Suppose 0 = i - 23 + h. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80 - 12 - 3)*(1 - 1 + a + (-3 + 1 + 1)*(-2*a + 4 - 4)).\nAnswer: -285*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/3, -5\/3, 4 in descending order.\nAnswer: 4, 3, -2\/3, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 39483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -13*f**2 - 1233*f + 268. What is the smallest common multiple of 9 and l(-95)?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -5*m + 71. Let l be ((-4)\/m)\/((-1)\/(-5)). Let z(y) = y - 3. Let n be z(3). Which is the smallest value? (a) n (b) 2\/3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h - 2. Let r(m) = 8*m - 5. Let a(b) = 5*n(b) - 2*r(b). Let j be a(2). Suppose j*l - 15 = 7*l. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*z**3 + 139*z - 2572 wrt z?\nAnswer: -15*z**2 + 139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1256 + 1256.0006325. Round t to 5 dps.\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5231*h**3*w**2 - h**3 - 1854114*h**2 + 4*h*w + 4889*w**2 - 3 wrt w?\nAnswer: -10462*h**3*w + 4*h + 9778*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/z**26)**(-12))**(-1\/2))**49)**(-1\/2) assuming z is positive.\nAnswer: z**3675","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 20, -0.4, -1, -67855, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10529, -10480, -10431, -10382, -10333?\n\"Answer: 49*s - 10578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 13*x**2 - 1. Suppose 0 = -2*w - w - 3. Let z be d(w). Let p(g) = -g. Let m be p(-4). Calculate the greatest common divisor of z and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = 2*i + 19*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {a: 2, p: 2, x: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*i**2 + 17*i**3 + 151110*i + 4 + 1 + 19 + 4*i**4 - 151043*i = 0 for i.\nAnswer: -8, -1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.6609 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 52*o + 51*o - o**2 - 113*o + 54. Let g be a(-14). Put 4, g, 3, 1 in descending order.\nAnswer: 4, 3, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.5, -4, 0.06, 0.2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (17 - (10 - -3))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*l + 284 = -486, 4*l - 1148 = -3*t. Suppose 0 = -14*j + 17*j - t. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 14 - 1. Let l(j) = -j - 8. Let m(s) = 4. Let t(n) = 2*l(n) + 5*m(n). Calculate t(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-885)\/(-35) - (-6)\/(-21). What is the greatest common factor of 75 and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 divided by 3?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -447261 - 64?\nAnswer: -447315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -13*y. Let l(p) be the second derivative of p**4\/6 + 10*p. What is l(g(k))?\nAnswer: 338*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.42882246 to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -196*l + 205. Give n(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 485 is divided by 58.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(-2*f + 3*f - 3*f) - 70 - 40*f + 70 + 5*f - 3*f + f.\nAnswer: -35*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of 1\/84*r**4 + 0 - 11*r + 0*r**3 + 0*r**2 + 1\/140*r**5. Let s(i) = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnrennrrnnnner. What is prob of sequence nenn?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -35573 (base 8) to base 7\nAnswer: -62252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8836187\/24934 + 4607\/13. Which is bigger: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 757446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - 0.4. Let t = -0.002 + -0.08. Let y = t + 0.282. Is m less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70)\/(-70) + 92\/(-36))\/(2 + -1).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6 (b) 0.004 (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -77, 0.5, 25?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 111001000001110100100?\nAnswer: 111001000001110100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2 + sqrt(252))**2.\nAnswer: 24*sqrt(7) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 2. Suppose 4*c + 7*a = 4*a + 9, 5*c + x*a = 11. Suppose -r + c*y = -5*r + 7, 2*y = 2*r + 14. Is -6\/7 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (248500\/(-39050))\/((-15)\/(-22))?\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/22409488 and -43\/31474.\nAnswer: 22409488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/69504 and 83\/68.\nAnswer: 1181568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*a**5 + 14*a**5 - 32*a**4 - a**2 - 4*a + 12*a**4 + 18*a**4 wrt a?\nAnswer: 1680*a**2 - 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c9 - -5?\nAnswer: -c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-18))\/((-4)\/16)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 33 (b) 2\/9 (c) -5\/4 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36794.7 decades in centuries?\nAnswer: 3679.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yqorr. What is prob of sequence qyoq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -450 - -460. Calculate the greatest common factor of x and 1080.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - n - 57 = 130, -d + 73 = 5*n. Solve 27*z = 3*z - d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -36. Let v = 50 - u. Let m = v + -40.33. Round m to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 6086.\nAnswer: 7\/6086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 8:16 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 6*l + 6. Let t be q(-2). What is the smallest common multiple of 3\/18*3*-2 - t and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22 + 0)\/(-1 + -1). Suppose -7*a + 5*t - c = -3*a, -2*a - 13 = 5*t. List the prime factors of (-5 + 58\/10)*(-210)\/a.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1328, 1327, 1322, 1313, 1300, 1283, 1262?\n\"Answer: -2*t**2 + 5*t + 1325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 439*a**2 - 136*a**2 - 132*a**2 - 106*a**2 + 0*a + 3*a.\nAnswer: 65*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 3, -3528*m = -4*d - 3525*m + 45 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + sqrt(68) + sqrt(68)*3*1 - -4*-2*sqrt(68))\/(sqrt(1536)\/sqrt(6) + sqrt(4) - 6*sqrt(36)).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 6*u - 10. Let t be 12\/42 + 52\/14. Suppose -356 = -z + 5*o, u*z + 1843 = 7*z - t*o. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106915019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - -10 - (-24 + 30). Put p, -1, 9 in decreasing order.\nAnswer: 9, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*d - 12, 2*p - 5*p = 3*d - 9. Suppose 0 = d*b - b - 2. Let w be ((-20)\/12)\/((-5)\/6). Put 9, -4, w, b in descending order.\nAnswer: 9, w, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 4*i - 44, 3*o + 5*i - 70 + 15 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*l = -4*l - 51*l + 1409 - 4973 for l.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2233622 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 621.9046 kilometers?\nAnswer: 62190460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r + 13*r - 4*r)*(1 - 1 + 3*r)*(0 - 2 + 1) to x*r + j + u*r**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -11*y**2\/2 + 100*y - 282. Calculate the remainder when 72 is divided by x(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 l, and 1 i when three letters picked without replacement from iphilphipphphtht.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 1 - 4)*(-19 + 19 - 2*t)*(-819*t - 1647 + 1647) to i*t**2 + q + c*t and give i.\nAnswer: 1638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 11 = -2*k, 0 = 2*j + 3*k - 13 + 4. Suppose 2*m + 1 = j*m. Does 13 divide ((-2)\/m)\/((-1)\/13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 9 + 3 = 0. Suppose -3*w = -3 - u. Let r(b) = 3*b**2 - 5*b - 2. Let f(v) = 4*v**2 - 7*v - 3. Let i(q) = -5*f(q) + 7*r(q). What is i(w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 104523 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3765257 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(288))**2 - sqrt(288))*-1 - (sqrt(288) - ((-2*sqrt(288))**2 + sqrt(288))*1))*2.\nAnswer: -24*sqrt(2) + 1726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -0.3, -0.2, -2\/5, -36730 in decreasing order.\nAnswer: 9, -0.2, -0.3, -2\/5, -36730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*z = -171, -j + 2*z - 17 - 22 = 0. Let p = 40 + j. Let h(c) = c + 2. Let o be h(-6). Which is smaller: p or o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 3, -0.04, 8, -5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 92467 (base 10) in base 11?\nAnswer: 63521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -703379 + 984.\nAnswer: -702395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + -5. Suppose w = 3*z - 27, -4*z + 20 + 5 = -5*w. Suppose -o + z = 14. Sort -2, o, i.\nAnswer: i, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7459467l to millilitres.\nAnswer: 745.9467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3 = 1, -4*s = -4*h + 16. What is the smallest common multiple of 2 and (-45)\/(-60) - (-154)\/h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149223 to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 288240698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 121717 to the nearest one thousand.\nAnswer: 122000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, p: 3, b: 5}. What is prob of picking 2 z?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19995\/2 - 9999. Let j = 210.83 - 208. What is the second smallest value in j, -1, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -5 + 2. Let w(k) be the first derivative of 4*k**3\/3 + k + 4. Let i be w(f). Solve 17 = -5*t + 3*t + 5*n, 0 = -n + i for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 104424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 15*r**2 + 50*r - 32. Let h be x(-9). Let q(c) = -c**2 - 6*c. Let f be q(-6). Solve -a + 0 = -h, 5*b + a - 24 = f for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1216, -1093, -824, -337, 440, 1579, 3152, 5231?\n\"Answer: 12*k**3 + k**2 + 36*k - 1265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16062108 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wh when two letters picked without replacement from {m: 5, h: 3, w: 5}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 27 = q, 0*q - 2*q + 19 = -3*b. Let m(j) be the third derivative of -j**4\/8 + j**3\/6 - j**2. Let u(r) = 16*r - 6. What is q*u(w) + 11*m(w)?\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (15816\/15)\/4 + (-20)\/(-50)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*w**2 - 3*w**2 + 34*w**2 - 9*w**2 - 6*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7745)\/(-55) + (-8)\/(-44). Are -1 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -5. Let k be (1 - 0) + t\/8. Which is the third smallest value? (a) -3\/13 (b) k (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*j*r**4 - 8*j*r**3 + 2*j*r**2 + 2*j*r + 8*j + 2*r**4 - 241*r**3 + 26*r**2 - 1161 wrt r.\nAnswer: 72*j*r - 48*j + 48*r - 1446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 + 9 + 8)*(-3777*k + 314845 + 571*k - 314845) to q*k + n and give q.\nAnswer: -102592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**4\/4 + 3801*j**3\/4 - 3617595*j**2\/4 + 10818603*j\/4 = 0.\nAnswer: 0, 3, 1899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -253577, -507154, -760727, -1014296, -1267861?\n\"Answer: 2*r**2 - 253583*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 12) to base 11\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-nine fifths of a centimeter?\nAnswer: 98000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20191 - -20194. Let h(i) be the second derivative of 1\/7*i**7 + 24*i - 1\/3*i**6 + 0 + 0*i**x + 0*i**2 + 1\/6*i**4 + 1\/10*i**5. Solve h(w) = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.70312 to 1 decimal place.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/289 and 23\/25585?\nAnswer: 434945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*v + 3. Find the third derivative of -2*g**5 + g**4 - 2*g**5 - g**v - 4*g**2 wrt g.\nAnswer: -240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -1000*o + 29006. Determine r(29).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/120)\/(78\/1365).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3838766516 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = i - 10. Which is smaller: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 + 33. Let y = a + -3. What is the remainder when 17 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1240\/920*(-12)\/(-186).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2*((-900)\/8)\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) - sqrt(198)\/(sqrt(81) + sqrt(9)))\/sqrt(2)*1.\nAnswer: 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3308 = -132*m + 388. Solve 42 = -7*f + m*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222849.\nAnswer: 3, 11, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15831 and 31662.\nAnswer: 31662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s. Let f = -3 + 5. Let z(q) = -4*q + 3*q + f*q + 5*q. What is z(r(m))?\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 8*r + 2. Let f be m(-8). Determine z, given that f*z**3 + 2*z**3 + 18*z**2 + 6*z**3 - 3*z**3 + 30*z + 14 - 5*z**3 = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6477 = 9*d - 20607. What are the prime factors of d?\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6392 + 44748\/7. Suppose 4\/7*j**2 - 4\/7*j**3 + k*j - 4\/7 = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*r + 232 = -23*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1959?\nAnswer: 3, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 + 16*o - 45. Let u be c(-13). What is the second derivative of -3*y - 132 - 79*y**3 + 176 - u wrt y?\nAnswer: -474*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -52190*k*r**2 + 209*k*r + 37421017*r**2 wrt k.\nAnswer: -52190*r**2 + 209*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 (base 6) in base 14?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)\/sqrt(3) + -3 + sqrt(27)\/sqrt(9))**2.\nAnswer: -24*sqrt(3) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -804, -4, -0.7, -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -z - 3*i - 11, 0 = -5*z - 4*i + 36. Let x be ((-20)\/(-15))\/(z\/18). Suppose 5*k - 5*w - 37 = 33, 38 = x*k - 2*w. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -170 - -174. Suppose -u*s = 5*d - 16, -s = 11*d - 15*d - 4. Solve 20 = 4*g + s for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2)*(27 + -7). Suppose -t = -5*l - 2*r + 12, -26 = -3*l + 2*r. Suppose 706 - 82 = l*p. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + (4 - (-88)\/(-12)). Let j be -2 - -5 - (-2)\/1. Which is the closest to -2? (a) j (b) r (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 18 = -2*s, -5*h - s - 4 = 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*p**3 - 11*p**2 + 2 - 9*p**2 + 13*p**3 + 7*p + 8*p**3.\nAnswer: (p - 1)**2*(11*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 19, e: 1}. Give prob of sequence ee.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 1.52\nAnswer: -6.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*m**2*p**2*s + 39*m**2*p**2 - 3*m**2*p + 100*p**2*s wrt s?\nAnswer: -7*m**2*p**2 + 100*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 12:32 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1710 + 1655. Is -3\/2 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -121159309017 + -1904.\nAnswer: -121159310921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -9 - (-4 + -2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**3 - 2*b**2 + 1. Calculate v(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 5:47 PM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.203 and 0.85036.\nAnswer: 1.05336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12358 (base 9) to base 15.\nAnswer: -26e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 0 = 12. Suppose 8*s = l + 3*s - z, 3*l = -4*s - 7. Sort -5, -4, l in decreasing order.\nAnswer: l, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 1\/25949517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 758 - 759. Let z = -3.4 - 17.6. Let d = -1012\/5 + 203. Put d, b, z in ascending order.\nAnswer: z, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 390 and 70?\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/24 and -19\/519.\nAnswer: 4152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-1 + 5) - (-1 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(99)*-4 + sqrt(99) - sqrt(99)) + sqrt(99))\/(sqrt(45)\/(sqrt(5)*2)).\nAnswer: 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from orrrrrukrxccucckxxx. Give prob of picking 1 c, 2 k, and 1 x.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1511\/2 + 784. Let y = -91597\/11347 + 3\/3242. What is the common denominator of a and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -435*b. Let y(s) = 1928*s + 10. Determine o(y(h)).\nAnswer: -838680*h - 4350","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-9)\/(-240))\/(3942\/(-50735)) and -17\/54?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 7 = -h - 7, -2*h = 4*j + 8 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, 190, 0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*2.63\nAnswer: -0.789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6902936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 12*j**2 - j - 12. Let a be 12 + -2 + -5 + 4. Let u be 22\/((-6)\/a*3). Is 31 a factor of z(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -646*h**3 - 11*h**2 - 8*h + 10. Is r(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 12*o**2 - 2*o + 9. Suppose -33*j = -40*j + 84. Calculate b(j).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -26. Let h = u + 107. Calculate the common denominator of -63\/4 and (h\/(-5))\/(-3 - -5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (33 - -2)*(-1 + -7). Let l = x + 316. Calculate the least common multiple of 24 and l.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {h: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*r + 10*r - 420. Suppose 0 = 2*p - r - 50. Let x = -339 - -350. What is the remainder when p is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38551\/3148 + 3\/787. Let v = -304648\/79783 + 2\/7253. Find the common denominator of v and w.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**4 + 1 + 0 - t - 45*t**3 + 42*t**3 - 3 as h*t**2 + o + m*t + d*t**3 + b*t**4 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5923856 and 39245546?\nAnswer: 313964368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -0.5 (b) 100\/1791 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**3 - 16*p**2 - 179*p - 301. Give o(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -512 - -348. Let v = m - -167. What is the nearest to v in -2\/13, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2304*q - 1984*q + 1654*q to the form u*q + k and give u.\nAnswer: -2634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1515 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37158926?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 12:59 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(-1\/11))*b*b**(32\/3))\/(b\/b**(-2\/111))**(44\/7) assuming b is positive.\nAnswer: b**(44246\/8547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2041 - 2023. Suppose -2*m + 3*s = -96, 0 = -3*m + 2*m + s + 47. What is the greatest common factor of m and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-74 + 304\/38).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 239905588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**4 - t**4 + 3*t**3 + 2*t**3 - t + (-t + 1 - 1)*(0*t**3 - 10*t**3 + 4*t**3) - t**4 - 3*t**4 + 5*t**4 as n*t + h + m*t**3 + f*t**2 + p*t**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6c (base 13) in base 3?\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -10, -88, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -254624 + 10?\nAnswer: -254614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 1. Let d be m(1). Suppose f + 2*v + 1 = -d*v, 5*f = -4*v - 17. Let w = -1 - f. Solve w*a + 22 = 2*g, -g + 0*g - 3*a = 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*n - 15 = -37*n - 4 - 3, 3*n - 16 = -3*t + 8 + 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10279.0003253 + 10279. What is m rounded to five decimal places?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j + 15. Let m be s(-11). Suppose 6*r = 2*r + d + 9, -13 = -m*r + 5*d. Solve u + r*u = 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-174)\/(-264) - 196\/(-539)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (168\/(-1764)*(-42)\/(-3))\/((-4)\/186*-2)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/5 (b) 21 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -33*r. Let a(d) = -38*d - 23*d - 39*d - 31*d. What is t(a(v))?\nAnswer: 4323*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10613298401 + -10613297275.9999431. Let z = w + -1125. Round z to 6 dps.\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(q**(-1)\/q))\/q)**(-43)*(q\/q**(2\/3)*q)**(18\/11))**(-38))**(1\/14) assuming q is positive.\nAnswer: q**(17518\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 53, 159, 321, 545?\nAnswer: 837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*r - 1480 = 289*r - 168*r for r.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -f**2\/2 + 9. Let s(d) = -d**2. Let x(y) = -y**2. Let h be 10\/(-35) + 26\/(-7). Let j(o) = h*x(o) - s(o). What is l(j(w))?\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -2) + (4492\/2 - -9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 894148547.\nAnswer: 113, 7912819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 2 + 32 = -5*s, -s - 14 = -3*q for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-5)*3115\/(-267)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 369 - 363. Let q(g) = g**2 + 4*g + 3. Let m be q(-4). Solve -m*h + h = -i for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence af when two letters picked without replacement from ggifhhhafaagfahagfq.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = y + 4*x - 2, 0 = 4*y - x + 26. Let d be y*(-3 - 9\/(-6)). Suppose 0 = d*b - 126 - 360. What is the greatest common factor of 9 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -49*g + 2. Let h be c(-2). Suppose -h = -3*j - 2*j. Suppose 22 = 20*i - 258. Calculate the smallest common multiple of i and j.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a - 83. Let d(q) be the second derivative of -q**4\/12 + 361*q. Calculate d(f(l)).\nAnswer: -9*l**2 + 498*l - 6889","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 61615226 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3746 times -4?\nAnswer: -1.4984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 - 43 = 22*v - 14. Let k(o) = o. Let t(r) = 11*r + 20. Let j(b) = 4*k(b) - t(b). Let n be j(v). Solve 6 = 5*w + n for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161645 less than or equal to 161676?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -74463, -74466, -74469, -74472, -74475, -74478?\n\"Answer: -3*l - 74460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 2334 - 4996. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/8)\/(y\/(y\/(y**(1\/4)*y))))**(-2\/7) assuming y is positive.\nAnswer: y**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2174334, -8697286, -19568862, -34789056, -54357862, -78275274, -106541286?\n\"Answer: j**3 - 2174318*j**2 - 5*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18192877 and 665353?\nAnswer: 3937","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**4 + 4*h**4 - 6*h**4)*(-3*h + 3*h + 2*h) + h**5 - 4*h**5 + 6*h**5.\nAnswer: 9*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00044244 rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 220021 - 310?\nAnswer: 213111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -3956\nAnswer: 1\/989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5450\/13 or 418?\nAnswer: 418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 414\/1597?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from {u: 2, g: 11}.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 5*w - 9*w + 20 = 0, -10 = 2*l + 3*w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2433 = 22*g - 2257 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -131 - -130.999999. Round x to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r + 1. Let q be z(5). Let u be (7\/3 + -1)*q. Let l = -1 + u. Sort -1, -4, l in decreasing order.\nAnswer: l, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 5*q**2 - 6*q - 4. Let f be k(-4). Suppose 0 = -3*a + f*y - 3, 2*a - 3*a + 3*y = 6. Let l be (4\/(-1*2))\/1. Sort -4, a, l.\nAnswer: -4, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 220\/7 + -1781\/56. Let q(r) = r + 3. Let v be q(-8). Which is the biggest value? (a) v (b) z (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k = 223*k - 29*k + 210*k - 4932 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/19 (b) 37 (c) -3 (d) 0.1 (e) 1\/1909\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j**3 + 7*j**2 - 13*j + 8. What is a(3)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -104895, -104970, -105051, -105138?\n\"Answer: -3*q**2 - 66*q - 104826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -235*c + 3*c**3 + 2*c**4 - 2 + 78*c + 76*c + 83*c as m*c**4 + a*c + g + n*c**2 + l*c**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2041*p = 3*g + 2044*p, 4*g - 2*p - 18 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 0. Let g = 9.1 + -11.1. Which is the second biggest value? (a) -5 (b) i (c) g (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 2615502\nAnswer: -13077510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*p + 2*p + 8 = 0, -i - 4*p + 4 = 0. Let q be (12\/(-5))\/(i\/40). Is q at least -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 118466221 to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by (-16)\/(-40) + 519\/15?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -578256898 minus -489615?\nAnswer: -577767283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27860105\/15976 + 21\/7988. Let p be 5\/(140\/(-63))*772. Let n = g + p. Find the common denominator of 23\/5 and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -10*t**2 - 13*t**2 + 24*t**2. Let r(j) = 13*j + 17. Calculate o(r(b)).\nAnswer: 169*b**2 + 442*b + 289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 301934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -r - 2*d + 253, -4*d = -2*r + 518. Suppose -22*i + 1027 - 367 = 0. What is the highest common divisor of i and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -7*d**3 - 4*d**2 - 4*d. List the prime factors of l(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1874414 greater than -1874399?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 13596.\nAnswer: 13596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100 + 11?\nAnswer: 100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one quarter of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - -17. Let z(x) = -75*x**2 + 40*x**2 + f*x**2. Let b(m) = -25*m**2. Give z(b(d)).\nAnswer: 625*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6279 - -6279.11. What is the closest to -2\/7 in 0.1, -0.5, g, 2\/13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3440.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - 3*2*sqrt(65))\/(sqrt(5) - 1*sqrt(180)))**2 - (sqrt(39) + -2*sqrt(1404))\/((sqrt(18)\/sqrt(2))\/sqrt(3)).\nAnswer: 13 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6904?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-52)\/104)\/(1\/50).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 less than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 83813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 8*r**2 + 25142*r - 226348. Determine j(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r = 4*r - 1104. Suppose 0 = -4*u + 3*m + 1234 - 25, 3*u - 913 = m. Let b = r + u. Calculate the greatest common divisor of b and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9268 + 5399. What are the prime factors of t?\nAnswer: 3, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -291\/35 - -54\/7. Let n = -68 - -271\/4. Sort n, 0, t, -1\/2 in increasing order.\nAnswer: t, -1\/2, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**5\/7 + 74*v**4 - 20402*v**3\/7 + 14246*v**2 + 163540*v\/7 - 34768 = 0.\nAnswer: -2, 1, 7, 41, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 37800101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 2*x + 4*u - 557, x - 4*u - 573 = 0. Suppose -5*f + 155 = -x. What is the highest common factor of 16 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-39)\/9 - (-2)\/6. Suppose 5*s + 4*l = -18, -l = 4*s - 5*s - 9. Let g be (252\/24 - (0 - -12))*2\/(-3). Sort s, g, x, 0.\nAnswer: s, x, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 + 2\/(-1) + -8 + 4. Solve c = -3*q - 0*q + 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/4)\/((-2)\/72). Let y be 15\/(-2)*12\/z. Suppose 4*s = -4*d - 4, -4*d - 5 = y*s - 0. Let o(x) = x + 1. What is o(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121437 is divided by 1286?\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*a + 4830, 0 = a + 6*x - x - 1224. Suppose -2*u - 723 = u + s, -5*u - a = 3*s. Round u to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 5 - 7 + 32*i - 14 + 34.\nAnswer: 32*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6 = 4*j, 40 = 3*m - 2*j. Suppose -4*f = -0*f - m. Suppose 2*k - 4*x = 48, -f*x - x = 3*k - 62. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 461503 from -1258.\nAnswer: -462761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -126557 - -102.\nAnswer: -126455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c*u*z**3 - 6*c*u*z - 14*c*u - 13*c + u*z**2 + u*z - 2*u wrt z.\nAnswer: 9*c*u*z**2 - 6*c*u + 2*u*z + u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a day?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 854262*z. Let o(t) = -12*t**2. Give o(y(c)).\nAnswer: -8757162775728*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 - (-238)\/(-8) - -3 and -69\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 32 = -5*j + 63, 2*k - 4*j = 2. Calculate the remainder when 296 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.19, -6\/107, -105?\nAnswer: -6\/107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54364325*p**4 + 23139381*p?\nAnswer: -652371900*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*i - 1. Let g = i - -4. Let y(q) = -q - 7. What is y(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -41e1a?\nAnswer: -41e1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnvn when four letters picked without replacement from nnvvnnnvnnnpnvpnnvn?\nAnswer: 275\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 4*h + 5. Let p(l) = -l**2 + 5*l + 6. Suppose 3*v = -9 - 6. Let i(c) = v*p(c) + 6*z(c). What is the second derivative of i(j) wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*c - 9*c**4 + 8*c**4 - 4 + 5 + 13*c in the form r*c**3 + t + d*c**4 + o*c**2 + h*c and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 2*x**3 - 8. Let g(b) = -4 + 0 + 4 - 2*b**2. Give g(q(h)).\nAnswer: -72*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2 - 15*m + 27. Suppose -5*r + 0*r = -5*j - 5, -5*j + 1 = -4*r. Suppose -5*b - 2*v + 67 = 0, -r*v = 2*b - v - 31. Does 10 divide t(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 25*h - 43. Suppose 5*t = 4*t + 17. What are the prime factors of d(t)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z**3 + z**2 - z + 2. Let b(i) = i**3 + i**2 + 1. Give 2*b(q) - c(q).\nAnswer: -5*q**3 + q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.13 - 0.17. Is x smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - 0. Let x(k) be the third derivative of -k**6\/120 - k**5\/15 + k**4\/2 - k**3\/6 + 6*k**2. Let d be x(-6). Are w and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -53*m - 56. What is j(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wefr when four letters picked without replacement from {r: 1, f: 3, w: 1, e: 2}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/25853872?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 12. Let c(m) = 7*m**2 - 3*m + 1. Let q be c(g). Let w = q + 24. What is the remainder when w is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2678*w - 1019*w**2 + 793 + 2690*w - 5368*w wrt w.\nAnswer: -2038*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -u**3\/3 - 3*u**2\/2 + 2*u - 11. Let g be q(-3). Solve g + 13 = -3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/51 in 227, 3, -456?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 0 + 1\/2*k**3 + 9\/4*k**2 - 6*k - 1\/8*k**4. Find f such that h(f) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6072801*y - 4 + 12 - 6072805*y. Let d(z) = 4*z - 9. Calculate 4*a(m) + 5*d(m).\nAnswer: 4*m - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h\/(h**(-1\/2)\/h))\/h))**20*(h*h**(-3))\/((h\/(h*h**(-2)*h))\/h))**(-26) assuming h is positive.\nAnswer: h**312","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3143*w + 3*c = 3144*w + 2, 0 = -4*w + 33*c + 13 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 470 = -6*v + 500. Solve v*m = 2*q - 16, 0*q - 14 = 4*m - q for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (170\/(-1785))\/((-2)\/12). Solve 22\/7*g - 6*g**3 + 16\/7*g**2 + k = 0 for g.\nAnswer: -1\/3, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - ((-1840)\/44 + (-6)\/(-198)*-6). Solve 52*u - p*u = -70 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/7))**(-6\/11)\/((n\/(n**(3\/2)\/n))\/(n**(-10)*n)) assuming n is positive.\nAnswer: n**(-1451\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*l + 48 = -201*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + b - 1)*((1 + 2 - 1)*(-4 + 6 - 4) - 64 - 64 - 50).\nAnswer: -182*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -361.45 + 361.4499984659. What is u rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14127532.999946 + -14127517. Let t = -16 + y. Round t to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (13\/((-260)\/(-8)))\/((-2)\/170). Let x = t - -9. Let p = -24 - x. Which is the second biggest value? (a) 4\/7 (b) -2 (c) -1\/6 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1915, 4083, 6251, 8419?\nAnswer: 10587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-9) + 64\/126. What is the second smallest value in -3, o, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 11) to base 15\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 17*s - 12. Does 35 divide j(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiqrqrr. What is prob of sequence qiqi?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 49807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 2533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 - 101101010011100110001?\nAnswer: -101101010011100111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 445276 smaller than 444677?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -1\/2322?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-11)*-1)\/(-4*9\/(-360)).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 1023?\nAnswer: -1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 1:39 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 36 = 4*s + 4*g, -2*g = -4*s + 64. Let y = s + -10. Suppose 0 = -y*m + 4*i + 8 + 20, 5*m = i + 19. What is the least common multiple of 2 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 2*o - 12, 0 = 3*p - 3*o - o - 10. Let n be ((-6)\/(-9))\/(p\/(-2874)). Is 12\/(-54) - n\/18 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1257 (b) -0.1 (c) 44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (71 - -2 - -7) + (18 + -2 - (111 - 105)).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -2\/11241569?\nAnswer: -2\/11241569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 5 (c) 0.4 (d) 184 (e) -2\/7 (f) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 828 is divided by 37.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 20. Suppose b = -p + 5*p - 40. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -j**3 + 0 + 3*j**2 - 18*j - 7\/12*j**4. Let w(x) = 20*x**2 + 17*x - 17. Calculate 6*w(n) + 17*y(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 30*y + 264. Let k be x(-37). Solve -5*w = k*a + 5, -4*w = -4*a - 2 + 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27437 + -15954. What are the prime factors of n?\nAnswer: 11483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (0 - -2 - 0) - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5158.401ug to milligrams.\nAnswer: 5.158401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 55\/3 of a week?\nAnswer: 3080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 9178332?\nAnswer: 137674980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 204*q**2 + 1755*q - 3. Calculate a(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p**2 + p + 6. Let b be k(-6). Let d = 1987\/18 + b. Find the common denominator of 81\/20 and d.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5744173 is divided by 475.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 - u**2 + 2*u**2 - 2*u - 8*u - 8. Let g be l(-9). Let q be (4\/(-50))\/(g\/10). Which is the smallest value? (a) -2\/7 (b) 3\/5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 2 (c) -5 (d) 2\/21 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 4*r**2 + r + 3. Suppose -j + 9 = -4*j. Let w be 10\/j - (-1)\/3. List the prime factors of h(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(3 - (-118)\/(-40)). Suppose 4*a = -20 + w. Suppose -3*n + 66 = 3*j, 0 = 4*j + 2*n - a*n - 116. Does 13 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 9:54 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32996.717 - 33156.8. Let l = -160 - q. Let j = 0.08267 - l. What is j rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gh when two letters picked without replacement from {m: 2, g: 1, h: 1, q: 1, i: 1, r: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 1:11 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 3*p**7\/35 - p**5\/12 + 1937*p**4\/24 - 1354*p**2. What is the second derivative of j(w) wrt w?\nAnswer: 216*w**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = 152 + 58. Let v = -14 - k. What is the tens digit of (v - 0) + 4\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2 - 28. Let k = m - 7. Let t be (-5)\/(-2) + k\/(-6). Solve -t*h + 25 = -3*b, -2*b - 3*h + 7 = 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18116, 36220, 54324, 72428?\nAnswer: 90532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3273905741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -295*p**3*t**4 - 2*p**3 + p*t**4 - 97*p*t**2 wrt t.\nAnswer: -7080*p**3*t + 24*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 904?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 11 = 10. Let o be (-2)\/7 - (-16)\/y. Suppose o*f = h + 77 + 127, 0 = -2*h - 4*f - 392. What is h rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**3 + 15852645*t**2 + 63410515*t + 47557875 = 0. What is t?\nAnswer: -3170525, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (93\/(-6))\/((-1)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 939991 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r**6\/15 + 3*r**5\/5 - 4*r**4 + 26*r**3\/3 - 9*r**2 - 2579*r. Find l, given that g(l) = 0.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddo when three letters picked without replacement from {o: 2, j: 1, c: 6, d: 4, z: 1, e: 1}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 159, 22 in descending order.\nAnswer: 159, 22, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 5*o - 4*d - 80, 41 = 5*o + d. What is the smallest common multiple of 15 and o?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**2 - 190*a - 2353. Let y be o(-67). Does 1397 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6245 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/(-3)*(-2 + -1). Let n(d) = -11*d**2 - d - 1. Let j be n(-1). Let r = j - x. Solve r = 5*p + 8 + 17 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230 (base 9) to base 5.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.45 - -6.5. Let p = h - 0.05. Let l be (-2)\/(4\/2 - -9). What is the smallest value in l, 2\/5, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 204 and 7008930.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, s: 6, i: 7, m: 4, r: 2}. What is prob of picking 2 s and 1 m?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 3085*s**2 + 2329353*s - 1763. What is h(-1766)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 274037998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 0, 4\/9, 1, -1\/1461, 0.057, 5?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 14*q - 25. Let a be k(3). What is the highest common divisor of 392 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*g, -2*p + 4*g = 2*p - 128. Calculate the remainder when 46 is divided by p\/9*(-72)\/(-15).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -697827 by 6.\nAnswer: -232609\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h**2 - h**3 - 5*h**3 + 4*h - 5*h in the form i + g*h**3 + n*h**2 + t*h and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1.07, -2, 1217?\nAnswer: 1.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 = 15*d + 81 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.005 - -11. Round q to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2835 divided by 189.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/3 - -1) + 2. Suppose -16*a - a = 102. Sort a, 1, s.\nAnswer: a, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 0.3, -42, 4, 5\/149, -0.4 in increasing order.\nAnswer: -42, -0.4, 5\/149, 0.3, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -106*j + 1070 + 2807 - 803 for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + (-2 + sqrt(768))*-4*-3 + 1)**2*-5.\nAnswer: -555165 + 40320*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - j + 2*j**2)*(-2 + 2 - 2*j) - 23*j**2 + 6*j**3 + 23*j**2.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbb. Give prob of sequence bb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 82 - 76. Solve 5*q - v - 4 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 37*y**2 - 146*y - 392. Determine b(-33).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28 - 5*x - 9*x - 10*x + 29*x - 13 to the form q + m*x and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by -191782?\nAnswer: 19\/191782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 8:18 PM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 165437369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1895, -2, 1, 2, 19 in descending order.\nAnswer: 19, 2, 1, -2, -1895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(1120\/(-42))*(-84)\/(-9)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20133 is divided by 10063?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 45*i - 346. Let x(w) = -w + 3. Let p(k) = -17*k + 157. Let m(l) = p(l) + 5*x(l). Let q(j) = 11*m(j) + 6*r(j). Differentiate q(z) wrt z.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*q = -205. Let g = q + 294. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1088 is divided by 77.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6001547597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/924288 and -81\/2316032?\nAnswer: 201494784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1778 is divided by 442?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 976 - 49. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.768 + 0.768. Is f greater than 439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 2*y**2 - 36. Let f(i) = 4 - i - 4. Calculate f(a(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccc. Give prob of sequence ccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -453*-0.19.\nAnswer: 86.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 18980*s**3 + 9*s**2 - 15*s + 86. Let n be x(6). What is n rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/2)\/(51\/(-102)). Let b be (-3)\/f + (-33970)\/(-50). Are b and 680 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-162)*(-9)\/8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3*15\/36*(-1953)\/155?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/14))**5 assuming x is positive.\nAnswer: x**(15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2242, 2125, 2006, 1885?\nAnswer: 1762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4007*v**2 - 39*v - 73. Is t(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**2 + 20*x - 13. Let a be u(9). Suppose 0 = -3*r - 3 - 9. Let t = a + r. Solve q + t = -3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - 3)*(1 - -1). Let t = 10 + p. Calculate the greatest common factor of 60 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 84 - 6 = 0. Let c = q + 94. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*l**4 + 2*l**3 + 861*l**2 wrt l?\nAnswer: -816*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3664? (a) -2 (b) 0 (c) 0.2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 60.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 - o**2 - 4*o**2)*(-o**2 - 3 + 3) + (-6*o**3 + 4*o**3 - o**3)*(-4 + 1 + 2)*(-3*o - 2*o + 6*o).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 162065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 121707 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -1.87, 3, -3\/2, 5, 2, 0, 2.16?\nAnswer: -1.87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1659 by 5802.\nAnswer: -553\/1934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.2, 3, -1\/4, -3\/2, -4 in decreasing order.\nAnswer: 3, -1\/4, -1.2, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -22*p + 69. Let d be y(3). What is the third derivative of 104*x**2 - 22 + 22 - 8*x**3 + x**6 + 5*x**d + 2*x wrt x?\nAnswer: 120*x**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 + -0.3. Let a = l - 0.4. Let f = -0.04 + -2.96. What is the closest to a in 2\/19, 0.2, f?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323193 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 247 by -147170.\nAnswer: -247\/147170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -0.067.\nAnswer: -0.367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/4 + 3\/12. Suppose -3*w - 2*i - 1 = a, w - 4*i = 10 - 1. Let z be w + -2 + 1 + 32000. Round z to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19612415*c**2*l**3 + 279*c**2*l**2 - 170852*c**2*l + 3*c*l**3 + l**3 wrt l?\nAnswer: 117674490*c**2 + 18*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 + -20. Suppose -r = -4*z + 22. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*1)\/(((-15)\/((-75)\/10))\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 2*b**2 - 6*b. Suppose -2*h = -4 - 2. Suppose 2*z - 2*t + 6 = -z, 3*t = 3*z + h. Does 21 divide k(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -6, 495, -738 in ascending order.\nAnswer: -738, -6, -2, 1, 495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m + 16 + 2 - 4. Calculate the lowest common multiple of 2 and a(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 72 and -0.53.\nAnswer: 71.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 69, 102?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3767, -7198, -10629, -14060, -17491, -20922?\nAnswer: -24353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 85 + -89. Which is the third biggest value? (a) -5 (b) z (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60 - 55. Let v(i) = -1 - k + 5 + 3*i - 1. Let c(p) = -p**3 - 7*p**2 + 2*p + 54. Let f be c(-6). Let j(n) = 2*n - 1. Determine f*v(l) - 10*j(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44336707 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4509213 minus -1008.4?\nAnswer: -4508204.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 1031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -33\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -127 - -4?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31927121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 55*k**2 + 2*k + 916. Let a(d) = -d**4 - d**3 - d**2 - 2*d + 5. Let m(r) = -a(r) - v(r). Find the first derivative of m(w) wrt w.\nAnswer: 4*w**3 - 108*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmahakmkhhahaa. Give prob of picking 1 a and 1 h.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1748 - 1728. Solve 3*t + 51 = p*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 3:46 PM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 3*h - 2. Let p be a(-2). Suppose p = -b - 10 + 23. List the prime factors of b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -247755*t**4 - 171803*t wrt t?\nAnswer: -2973060*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8051862?\nAnswer: 2, 3, 7, 13, 14747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 17, -78, 15, -0.4, 3 in descending order.\nAnswer: 17, 15, 3, -0.4, -9, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 998 = z, -5*z - 8 = -z. Let f(w) = 9*w**2 - 80*w + 141. Let y be f(9). Calculate the greatest common factor of j and y.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3366320 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o + o**4 + 5*o**2 + 54*o**3 - 53*o**3 - 9*o**2.\nAnswer: o*(o - 2)*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 525688204?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 221104430 (base 5) in base 7?\nAnswer: 11063460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/6*(-3 + 15). Let i(q) be the third derivative of -1\/120*q**6 + 2\/3*q**3 + q**p + 1\/20*q**5 + 0*q - 5\/24*q**4 + 0. Give i(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 0*u - 4*u)*(-4 + 1 + 0) - 4*u + 5*u + 0*u + (2*u + 0*u - 3*u)*(3 - 2 - 2) + 24 - 24 + 26*u.\nAnswer: 34*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 3)\/((-4)\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d + 6. Let a be -1*5*(1 + (-180)\/75). Determine p(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9425700 and 27?\nAnswer: 9425700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 13, 19, 25, 31, 37?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/118 in -0.22, -2, -0.03, -5, 1?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 206, 57, -39 in increasing order.\nAnswer: -39, 1, 57, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -17031265729 and -13?\nAnswer: 17031265716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -t**4\/24 + t**3\/2 + t**2 - 30*t - 18. Let u(w) be the second derivative of o(w). Let z(r) = r. Let d be z(0). Give u(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 5, 79509 in descending order.\nAnswer: 79509, 5, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -624, -625, -626, -627, -628, -629?\nAnswer: -630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-6)*15\/(-10). What is the nearest to -2 in 2, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 496048, 1 in increasing order.\nAnswer: 1, 30, 496048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 10*y + 7. Let m be z(-4). Let x be (m\/6 - -4)\/(-3). Is 0.5 greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 5:41 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 5, -3, -5 in descending order.\nAnswer: 18, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000664447 to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 261456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.818 + 2.318. Let v = -19.9 + 20.3. Which is the nearest to 0? (a) v (b) -152 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 164248858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 13 + 14 = 2*t, 0 = 4*t - 2*r - 18. Suppose -12 = -3*u - t. Suppose -4*w + 4 = j - u, -4*j = w - 9. Solve 1 = j*o - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 343 divide 1116808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (5 - (6 - -6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2012 (base 3) to base 11.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.03 + 0.03. Let n = -4 - -2.7. Let d = t - n. What is d rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 i when two letters picked without replacement from evhfi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mhjmjjjsjjmjhjjj. What is prob of picking 1 m and 2 h?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*a - 8 = 0, 4*r + r = 5*a - 10. Let i be 254\/r*10\/(-2). Suppose -u = -0*u, u = -5*y + i. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13691308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*l + 8*l = -92 - 140 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 34. Let j = x - 22. Suppose -3*n + 80 = 2*n - j*d, -3*n = d - 44. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(76) + (5 + 0 + sqrt(19))**2.\nAnswer: 4*sqrt(19) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 5 + (1 + sqrt(2) - sqrt(2)) + sqrt(24)\/(sqrt(24)\/sqrt(2)))**2.\nAnswer: 24*sqrt(2) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 divided by -6456?\nAnswer: 23\/3228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -572600 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000020578834 to 6 dps.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 12:20 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5205257699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -9*m - 41. Let s(q) = -6*q - 27. Let a(i) = 8*s(i) - 5*x(i). Let b(z) = -z - 4. Give -6*a(p) + 17*b(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -11446?\nAnswer: -11444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b - 9. Suppose -25 = -4*k + 159. Let o = k - 34. Calculate the lowest common multiple of 6 and m(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p - 11. Let s be b(-9). Suppose 3*t - 4 = -n - s, 0 = 2*n + 3*t + 6. Let a(v) = -v**3 - 3*v**2 + v - 2. Calculate a(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 193871239?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 22. Put q, -4, -5, -2 in descending order.\nAnswer: q, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -7144*q + 357323. Determine g(50).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181852*t = -0*j + 4*j - 181854*t + 150, 2*t + 12 = -j - 33 for j.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7784 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -74 + 65 - (-2 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(4\/(-4) + 0). Let m(f) = 4*f + 2. Calculate m(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15022 - 8922. Round b to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (32 + -20 + 21 + 15)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*z + 3*z. Let s = z - -1. Suppose -s + 5 = -m. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 295.63365ns?\nAnswer: 0.0000000049272275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + j**2 - 2 + (-2*j + j - j)*(-4*j - 3*j + 4*j).\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jszsj. Give prob of picking 1 s and 1 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 - 5*g**2 + g**2)*(2*g**2 - g**2 + 0*g**2) - 2*g**4 + g**4 - 2*g**4 + (1 + 0 - 2)*(2*g**4 - 3*g + 3*g).\nAnswer: -9*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -246 * 28174\nAnswer: -6930804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**2. Let m be 1*(0 - 2 - -6). Let u(v) = 5*v + 0 - m*v + 0. What is o(u(f))?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44 and ((-9)\/4)\/((-11)\/(-16)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33*-2*(-4)\/8.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(15\/(-4))*(-2835)\/1386*99\/(-10)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 3, 2 in increasing order.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -10*i - 20. Let y be d(-3). Suppose -1006 = y*z - 4146. Does 25 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*j + 18, -f = 4*j + 2*f - 28. Solve j*w - 12*w = 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**4 + 7390*i**3 - 176314*i**2 + 388706*i + 1541820 = 0.\nAnswer: -2, 5, 21, 3671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 10*a. Let x be l(-8). Let g = x - -18. Let o be 81\/12 + 13\/4 + -3. Sort -1, g, o in decreasing order.\nAnswer: o, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -15*a**3 + 1296*a**2 - 6559*a - 164. What is v(81)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*g + 137 = 0, 0 = -2*q + 5*g + 37 - 98. Let u(x) = -x**3 - 25*x**2 + 72*x + 28. List the prime factors of u(q).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) 0.3 (b) -2 (c) -8 (d) -144 (e) 4\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**4\/5 - 1135*s**3 + 285713*s**2\/5 - 3073137*s\/5 + 1360260 = 0.\nAnswer: -5725, 3, 11, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 2:44 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(32\/(-39) - 8\/(-52)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32537192 is divided by 485.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4278, -8557, -12832, -17097, -21346, -25573?\nAnswer: -29772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 378331 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2345, -2344, -2343, -2342, -2341?\n\"Answer: r - 2346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 9*w - 9. Let p be u(3). Suppose p*i = 10*i - 9. Calculate the highest common divisor of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131422a (base 11) to base 9\nAnswer: 4246575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1675, -6854, -15535, -27718?\n\"Answer: -1751*t**2 + 74*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 264715101*d**2*g - 98*d*g - 164*d + 2202 wrt d?\nAnswer: 529430202*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 f when four letters picked without replacement from {v: 2, w: 6, y: 1, f: 3}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 74859475 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/1 + -4*(-1 + 2). Let s(a) = a**2 - a - 1. Let k be s(3). Let h be 3\/(15\/j)*k. Solve h*t = 1 + 7 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 5 + 2*f - 11.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aee when three letters picked without replacement from jveadee?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -9. Let a = s + -10.1. Let o = -1.1 - a. What is the third smallest value in o, -0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 12 = 3*k. Find the first derivative of -151*b**3 - 5 + 153*b**3 - 6 - 5 - 23*b**k wrt b.\nAnswer: 6*b**2 - 46*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*k + 6*k + 42. Suppose n = k*n + 25. Put n, 0, -2, -3 in decreasing order.\nAnswer: 0, -2, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 86448*l - 5359767. What is b(62)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1199903 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21505560 + -30?\nAnswer: -21505620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 7*p + 16. Let u be l(-9). Let h be u - (-5)\/2*224\/40. Solve -20 = 5*k, -3*k - h = -y + 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89966?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63330*n**3 + 2*n**2 + 188031 wrt n.\nAnswer: -189990*n**2 + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4281896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 20*u**2 - 33*u - 38. Let f be o(15). Let y = -589 + f. Solve -3*g = -4*r + r + 9, 4*g + y*r = 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340*f + 9903 = 370 + 1033 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**3 - l**2 - 96*l - 192. Determine h(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 13268*y**2 - 48. Let k(q) = 2*q. Determine k(j(d)).\nAnswer: 26536*d**2 - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 753 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 - 2*z**3 + 0*z - z**2 - 19 + 21 + 2*z.\nAnswer: -2*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.84 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004946535587 to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c03 + -12?\nAnswer: -c15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -200 + 130?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 28 + 173791*s + 18.\nAnswer: 173791*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 j when two letters picked without replacement from cjs.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -54, -114, -216, -372, -594, -894, -1284?\n\"Answer: -2*c**3 - 9*c**2 - 19*c - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 4*v - 3*v)*(-1 - 2 + 2)*(-4 - 2 + 5).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 - 24*w - 988.\nAnswer: 4*(w - 19)*(w + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.893 - -1.1961. Let m = -2.82 + 2.52. Let i = r + m. What is i rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (164\/(-41))\/((-4)\/(-8))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50605, 101183, 151761?\nAnswer: 202339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 767?\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -43281*o - 3*o**3 + 3*o**2 + 21644*o + 2 + 21640*o. Let d(v) = -v**3 - v**2 - v + 1. Determine -3*d(a) - m(a).\nAnswer: 6*a**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 232506365 to the power of 1\/3, to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91925.\nAnswer: 5, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 41909?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -288988498\nAnswer: -1\/288988498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 99, 97, 95, 93, 91, 89?\n\"Answer: -2*y + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v. Let k(d) = 62*d. Calculate f(k(o)).\nAnswer: 310*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3967 divide 1802430252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, l: 3, g: 1, y: 2, i: 1}. What is prob of sequence lll?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.376 + -0.4. Let h = d - -0.091. What is h rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (527 - 527 - 9*m)*((14 + 27 + 6 - 10)*(5 - 1 - 2) + 3 - 2 + 0).\nAnswer: -675*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g - 5. Let b be w(6). Let t be (-2 - -3)\/(b\/5). Factor 1\/2*u**2 + 0*u - 3\/2*u**3 - 1\/2*u**t + 0 + 3\/2*u**4.\nAnswer: -u**2*(u - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1761 - 245?\nAnswer: -19a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -19, -58, -111, -184, -283?\n\"Answer: -s**3 - s**2 - 29*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.059 - -3.941. Let y = -6.8 - -7. Put y, -4, k in decreasing order.\nAnswer: k, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**3*x**2 + 94*o**3 + 163*o**2*x**2 wrt o?\nAnswer: 12*x**2 + 564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -14*p**5 + 1464*p**4 - 49524*p**3 + 591296*p**2 - 2418750*p + 1198152 = 0.\nAnswer: 4\/7, 9, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**3 + 2*p**2 + p. Let s(b) be the first derivative of -7*b**4\/4 - 5*b**3\/3 - b**2 + 759. What is 2*s(o) + 5*y(o)?\nAnswer: o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12486?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 44.6 * -1.1.\nAnswer: -49.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 7*g + 153. What is h(-7)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2968 - -2444?\nAnswer: -524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 321913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 739106 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48929790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40*z**4 + 26499*z**3 - 3*z**2 - 3*z - 181217.\nAnswer: 960*z + 158994","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*b - 3004*i + 3000*i, -3*i + 1 = 2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -131240\/4323 - -334\/11. Let r be (-291646)\/(-7860) - (-4)\/10. Let z = d - r. Find the common denominator of -16\/3 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 11:46 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -277*k**2 + 56*k - 91. Let t(m) = -138*m**2 + 28*m - 47. Let w(c) = 4*p(c) - 9*t(c). What are the prime factors of w(2)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -209*z**3. Let r(o) = -23*o**3. What is 2*g(s) - 19*r(s)?\nAnswer: 19*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 u when three letters picked without replacement from oouuohoho.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.5 + 7. Sort -2\/11, 1, h.\nAnswer: -2\/11, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*439855\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -35*a - 166. Suppose 3*k = -y - y - 20, y = 3*k + 17. What is the units digit of v(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-42))\/(2\/(-12)*(-6)\/(-12))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*f - 29*f - 28. Differentiate -49 - 2 + f + 17*u with respect to u.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 2:03 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2432099356 to the nearest integer?\nAnswer: 49316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 2*n + 48. Let z be (-159)\/(-7) + (-6)\/(-21). Let t = z - n. Calculate the remainder when 12 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 5*s - 4. Give t(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6740770*o + 18384855.\nAnswer: 6740770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22*(-1 - (-40)\/48)*-3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 676925 and 218.\nAnswer: 147569650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - -1. Suppose -j = -4*j + x. Suppose -j*d + 4*y = -0*y - 26, -4*d = -y - 12. What is the smallest common multiple of d and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-21)\/24*((-642)\/42 - -11). Factor -d*s**3 + 0*s**2 + 5\/2*s**4 + 0 + 5\/4*s.\nAnswer: 5*s*(s - 1)**2*(2*s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00121179546 rounded to 5 decimal places?\nAnswer: 0.00121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 315\/(-126)*4\/10\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d**3 + 271*d**2 - 66*d + 139. What is r(-68)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 41\/166659 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**0\/d*d)\/d)\/d)\/((d\/(d\/((d\/d**(-6)*d*d)\/d)*d))\/d)*d**1*d**(-7) assuming d is positive.\nAnswer: d**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -222234 less than -222231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b - 20. Determine g(10).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2195*t. Let d(g) = -7*g. Give d(o(b)).\nAnswer: 15365*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 3*h = 16, 14 = t - 0*t + 3*h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, -0.2, -3 in descending order.\nAnswer: -0.06, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8456785807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 487 divide 15725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2858*s - 92918 - 106446 = -2590*s + 917*s for s.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140177?\nAnswer: 140177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 18 = 4*c. Does 15 divide 144 - (2 + (c - -5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p. Let f(z) be the second derivative of z**5\/12 + 25*z**3\/6 - 12*z. Let u(x) be the second derivative of f(x). Calculate u(o(k)).\nAnswer: -50*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, d: 7, p: 1, b: 2, g: 3, l: 2}. What is prob of picking 1 p, 1 c, and 1 l?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -512 (base 7) in base 3?\nAnswer: -100102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12193 + 3?\nAnswer: 12196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-5352)\/(-3122)*56\/(-3)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 20*l**2 + 37*l + 29. Let c be (5355\/102 + -39)*(-3)\/(18\/8). Determine b(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**3 + 4*g**2 - 7. Let s be f(0). Let h(x) = 2*x - 14. Give h(s).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 161652*i**3 - 17*i**2 + 21208920.\nAnswer: 484956*i**2 - 34*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00729 to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266108410 is divided by 2734.\nAnswer: 2722","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 124*g**3 - 2*g**2 + 13*g - 17. Let z(k) = -k**3 + k**2 - 5*k. Let o(s) = c(s) + 2*z(s). Find the second derivative of o(a) wrt a.\nAnswer: 732*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 494605?\nAnswer: 5, 31, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314*n = 1113*n - 743 - 3538 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/(-12) + 165\/4. Calculate the highest common factor of g and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -164*j**3 - j**2 - j - 1. Let g(q) = q**3 - 12*q**2 + 11*q - 1. Let u be g(11). Is d(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38221678.\nAnswer: 2, 11, 17, 102197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6568, -10519, -13680, -16057, -17656?\nAnswer: -18483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6, -36, -150, -372, -738, -1284, -2046, -3060?\n\"Answer: -6*b**3 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*i - 553, 0*h - 3*h = 5*i - 923. Suppose i + 153 = 10*d. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**4\/12 - y**3\/6 - 3*y. Let h be w(-1). Suppose -3*m - m + 12 = h. Solve m*i + i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -12*g**2 + 3*g**2 + 2*g + 26*g + 8*g**2 + 104. Let m be k(31). Suppose 0 = -m*t + 5*t + 396. Is t a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 19, 62, 153, 310?\nAnswer: 551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = l, 0 = -2*v - 0*l - 5*l + 23. Suppose -p - v*p = -100. Calculate the remainder when 57 is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146659680 divided by -408.\nAnswer: -359460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -77 + 73.1. Let y = 4 + r. Let g = 0.002 + y. What is g rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 5) in base 9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**4\/12 - 2*g**3\/3 + 2*g**2. Let d be q(5). Calculate the highest common divisor of 48 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*h + h. Let d = 1 + h. Put d, -2, 1 in ascending order.\nAnswer: -2, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) - (-2 + 2*sqrt(363) + sqrt(363))) + ((sqrt(84)*1 + sqrt(84))\/sqrt(7))\/sqrt(4).\nAnswer: -20*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-5))**(3\/32)*(y**(-8))**(-36))**47 assuming y is positive.\nAnswer: y**(108147\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2. Let g(m) be the second derivative of 0*m**3 - 1\/12*m**4 + 2*m + 0 + 0*m**2. Calculate g(s(v)).\nAnswer: -v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -116243, -116242, -116239, -116234?\n\"Answer: f**2 - 2*f - 116242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -65 + -6?\nAnswer: -6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -263*a + 9. Let l(m) = -57*m + 35. Calculate l(d(k)).\nAnswer: 14991*k - 478","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363)\/sqrt(891) - (sqrt(297) - (sqrt(297) + sqrt(297)*5)))\/(-5*-2*sqrt(36)\/(sqrt(60)\/sqrt(5))))**2.\nAnswer: 50864\/2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35.5 + -0.5. Let m = x + 15. Let b = -21.00012 - m. Round b to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/(-6) + -1 + (-20)\/5\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 13*h = -56 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**2 - 105*i - 108. Let k(r) = 2*r**2 - 105*r - 107. Let s(l) = 7*l - 65. Let v be s(9). Let b(f) = v*k(f) + 3*n(f). Factor b(p).\nAnswer: 5*(p - 22)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 3315*r + 296523. Give t(92).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, u: 7}. What is prob of sequence up?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 5*s - 15. Let p be z(-7). What is the units digit of (29\/(-5))\/(p\/5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 8 (b) 0.3 (c) -1\/11 (d) 89 (e) -1\/4 (f) -2\/11 (g) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k - 14. Calculate the smallest common multiple of p(11) and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 61 = 5*a, -3*a + 5*j + 63 - 19 = 0. Suppose -5*k = -a + 3. Let l be k - (2 + 4)*-4. Solve u - 5*g = 28, l = 2*u - 3*g - g for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/((y**(-1)*y*y*y*y*y)\/y)))\/y*y*(y\/(y*y**(-4\/5)*y))\/y*y)**3\/(y**(-6)\/y**(-1))**(4\/9) assuming y is positive.\nAnswer: y**(478\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 1) + (0 - 0). Suppose 0*u - 2*u + 6 = z. Let j = 5 + -7. Put 0, j, u in ascending order.\nAnswer: j, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11790*i*r**2 + 232*i - 4*r**2 - 334524*r wrt i?\nAnswer: 11790*r**2 + 232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*a - 42*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h**2*h)\/h)\/((h\/(h\/(h*h\/h**(1\/2))))\/h*h)*h**(-2\/3)*h**(-1\/9)*h\/h**(-2)*h**(1\/5)*(h*h\/h**6)\/(h\/h**(1\/2)) assuming h is positive.\nAnswer: h**(-26\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 341.014 centuries to millennia.\nAnswer: 34.1014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) -5 (c) 1 (d) -3 (e) 357\/4 (f) 1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k + 2*k + 5 + 0*k + 12*k**2 - 3*k. Is y(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 80\/6*(-540)\/(-450). What is the highest common divisor of p and 536?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + -9 + 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -190*k - 1333. What is p(-8)?\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 6:49 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10, c: 3, w: 3, g: 2}. Give prob of picking 1 w and 2 j.\nAnswer: 45\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ciccicc. Give prob of picking 2 i.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3729.\nAnswer: 3, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -88*z + 13743. Calculate k(157).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 11*d**3 - 771*d**2 + 44*d + 1950. What is s(70)?\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -97 + 97. Solve -4*n = -4*s + 8, 2*n + n + s - 2 = p for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - i)*(-164 + 303 - 166)*(1 + 0 + 5)*(3*i - 2*i + 0*i)*(-2*i**2 + 2*i**2 - i**2) to the form y*i**4 + z + l*i**3 + m*i**2 + p*i and give y.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 9:44 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2971 less than 1?\nAnswer: -2970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -t**4\/12 + 2833*t. Let z(d) = 797*d. Calculate g(z(r)).\nAnswer: -635209*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 59*i**3*j**2 - i**3*j + 16182*i**3 + 80*i**2 - 387351*i*j**2 - 24*i wrt j.\nAnswer: 118*i**3 - 774702*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 25 = 5*p, p = -2*f + f + 5. Let x(g) = -g + 21. Is 15 a factor of x(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47 + 86. Let n be (8\/(-3))\/((-26)\/w). Suppose 5*y - n*r + 11980 = 0, 3*y - r - 3725 + 10920 = 0. What is y rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41905 and 6960?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2 - 5*z + 12. Determine n(-6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1739*x**5 + 626*x**3 - 5120789*x**2?\nAnswer: -104340*x**2 + 3756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, l: 1, n: 3, t: 1}. Give prob of picking 1 l and 1 n.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**6\/120 + r**4\/24 - r**3\/3 + 4*r**2 + 44*r. Let b = 10 - 7. Calculate k(b).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 468599279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199 - 234 = -5*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*k + 1, 5*k = -4*r + k. Let z = 0.3 + -0.2. Which is the nearest to -2\/3? (a) z (b) 1\/2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 68013*o**2. Let g(h) = 2*h. What is y(g(n))?\nAnswer: 272052*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2866*c - 134590. Give m(-47).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69178?\nAnswer: 2, 34589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of q**3 + 595*q*z**2 - 98*z**2 - 30 wrt q.\nAnswer: 3*q**2 + 595*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 88 - 16. Let x(u) = -7*u + 53. What is x(f)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-60))\/(((-2)\/5)\/((-253)\/(-230)*12))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -13*r + 20*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2351860 by 4.\nAnswer: -587965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 0*q + 273 - 824 + 276 + 272 + 30*q. Let m(n) = -30*n + 4. Give -4*b(u) - 3*m(u).\nAnswer: -30*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 71*p**2 - 2*p - 4. Is u(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -7. Let v(o) = o - 7. Let s(g) = 5*m(g) - 4*v(g). Let w be s(-5). Suppose 214*f - 224*f + 910 = 0. Calculate the greatest common factor of w and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 times -0.017?\nAnswer: 1.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 14*i**5 - 107320*i**4 - 997504*i**3 - 1887892*i**2 - 1212622*i - 214900 = 0?\nAnswer: -7, -1, -2\/7, 7675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 995 and 3383.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2736398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.579 and 807.\nAnswer: 467.253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195*d - 198*d - z = -9298, -4*z - 8 = 0. Is 20 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from icccic. Give prob of picking 2 i and 1 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -971, -2\/9, -125?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 270316208 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23\/3710 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 210296350*u**4 - 6394671*u**2 wrt u?\nAnswer: 5047112400*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32334, -32323, -32312, -32301, -32290?\nAnswer: -32279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 115000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4. Let h = -28 + 32. Let n(j) = j**3 - 3. Give h*n(l) - 3*y(l).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y - 2*y + 0*y)*(5332 + 5432 - 10296)*(0*y + y + 0*y)*(4*y - 2*y + 6*y) to b + g*y**3 + s*y**2 + t*y and give g.\nAnswer: -7488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -3*x + 1 - 9, -3*j = -6. Let o = x + 9. Let s(d) = -5 + 2*d + 1 + o - d**2. What is s(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v + v + 0*v + 2*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 177*d**2 - 138*d. Calculate the remainder when 48\/5*(-1)\/(2\/(-30)) is divided by h(1).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 6*j**2 + 6*j - 1. Let z be -1*(-4 + 2\/(-2)). Suppose 168 + 92 = z*c. Let v be 31\/(-4) - (-39)\/c. What is n(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t - 1. Let g be z(-2). Let b = g + 11. Solve -4*f = n + 20, b*n - 4 = 5*f - 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-2)\/(5 - 13 - -10)). Put 8, -0.15, z in decreasing order.\nAnswer: 8, -0.15, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 149*f + 1045. What is m(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13, 39, 65?\n\"Answer: 26*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 243*s + 7455. Let u be d(-36). What is v in 0*v + 0 + 4\/3*v**5 + 19\/3*v**u + 77\/3*v**4 + 0*v**2 = 0?\nAnswer: -19, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4791841832.\nAnswer: 2, 491, 1219919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 231?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 6*b**2 - 2*b - 1. Let p be q(-5). Suppose -3*a - y = -23, 4*y - p = -4*a + y. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 11*m - 3. Suppose 0*k = 3*k - 27. Is o(k) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10221 - 10?\nAnswer: -11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(343) + 2*(2 + sqrt(343)) + sqrt(343))**2.\nAnswer: 504*sqrt(7) + 5569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5645 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 261?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/12 + 9 + (-9)\/4 + 4. Solve -3*l = 5*r - l + 14, r - 2*l = -f for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10978, -87897, -296674, -703237, -1373514, -2373433, -3768922, -5625909?\nAnswer: -8010322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i**2. Let x(c) = 3 + 0*c**2 + 2*c - 5 - 3*c**2. Let y(r) = -16*r**2 + 11*r - 11. Let q(k) = -11*x(k) + 2*y(k). Calculate f(q(o)).\nAnswer: 5*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/512 and -5\/36?\nAnswer: 4608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -55, 593 in decreasing order.\nAnswer: 593, 9, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 5, 2*t - 13 = -2*i + i. Let g be (-43)\/9 + t\/(-27). What are the prime factors of 2\/(-5) - 52\/g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-4)\/(-8))\/((-32)\/(-4))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000134846 to five dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 754?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 4*f - 2 - 36, -13*x + 3*f = -7*x - 5*x + 9 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4879, 39116, 132057, 313054, 611459, 1056624?\nAnswer: 1677901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43.4 + 38.8. Let c = -82 + z. What is the closest to -6 in c, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17543576317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 11*d**2 - 21*d + 173. Is u(-22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 - -0.02. Let b(i) = 7*i + 36. Let h be b(-5). What is the closest to h in -4, t, -2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 8*a = 4*a + 2947, 4*d = 4*a + 3892. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1341.4 - -1341. Let s be (-4)\/10 - (-56)\/(-10). Let g = 2 + s. What is the nearest to -0.1 in v, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18153823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w**2 + 39*w - 16*w + 9*w**2 in the form v*w + x*w**2 + o and give v.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74529.4nm to micrometers.\nAnswer: 74.5294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4*s**2 + 7*s**2 - 2*s**2)*(5*s**3 + s**3 - 3*s**3).\nAnswer: 3*s**5 - 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 = -4*b + 162. Suppose -3*d + 186 = -3*u - 0*d, 5*u - 4*d = -310. Let f = u + b. Calculate the remainder when f is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/3)\/(y**(-2\/7)\/y))\/(y\/(y**0\/y))**6*(y*y**(3\/7)*y**3*y)**(-24) assuming y is positive.\nAnswer: y**(-422\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 54142 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01 - 19.5169.\nAnswer: -19.5069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 187*g**2. Let n(a) = -25*a. Determine n(v(j)).\nAnswer: -4675*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 less than -1825?\nAnswer: -1855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, m: 1, q: 3, x: 2}. Give prob of picking 2 q.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 34\/75?\nAnswer: 34\/75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.37 times -181408?\nAnswer: -67120.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-2*sqrt(190)*-1)\/((-1*sqrt(60)*6)\/sqrt(6)))**2.\nAnswer: 475\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 35849 - 27111 = 0. Let o be l\/2 + (5 - 5 - 0). What is o rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2016 - -170?\nAnswer: -1b76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5407391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 7:12 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 2*t + 31, -6046*t - 21 = -3*x - 6044*t for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 5 + 12 + 3*v**2 - 2*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -106 + 67. Does 3 divide (-6)\/a - 204\/(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 106*w - 1 + 15*w - 11. Suppose -2*k - 38*o = -41*o + 5, -5*k = -2*o - 4. What are the prime factors of v(k)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7938 divided by 441.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 2\/3*c**3 - 2*c**2 - 4\/3*c = 0. Calculate c.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 17532005 = -11*h - b, -5*h + 2*b = -29219990. Suppose -11*t = -17*t - h. Round t to the nearest ten thousand.\nAnswer: -970000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 7*k**2 + k - 2. Let m(f) = f**2. Let b(q) = -6*m(q) - o(q). Let c be b(0). Suppose -2*j + 22 = 10. Solve -2*x = j + c for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*q - 232 = 0, -4*u - 2*q = -3*q - 454. Let f = u - 63. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -346.9 less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5703*g + 690058. What is h(121)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 92944130?\nAnswer: -92944125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -g**2\/2 - 7*g - 1. Let j be s(-9). Let f(b) = -6*b**j - 7*b**2 + 8*b**2. Let w(a) = -2*a**2. Calculate f(w(o)).\nAnswer: -20*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + 932 - 418 - 512.\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x**4 + x**3 + 9*x**2 - x - 11. Let w(r) = -r**4 + r**3 + r**2 - r - 1. Let m(i) = 2*k(i) - 14*w(i). Determine s, given that m(s) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 2*x = 90. Let l = 7 + x. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -11*c + 99. Does 2 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 13*h**2 - 25*h + 23. Suppose 0 = -10*u + 3*u + 70. Is f(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21232 and 2368.\nAnswer: 3142336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (8\/(-4) + -1). Let k(v) = -14*v + 7. Let j(m) = -27*m + 14. Let o(b) = p*k(b) - 3*j(b). Find the first derivative of o(z) wrt z.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6 - 3\/2*y**4 + 3\/2*y**2 - 3\/2*y**5 + 15\/2*y**3 - 12*y = 0. What is y?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 9) to base 7.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55267.15 at least as big as -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -105 - -c?\nAnswer: -f9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from zyyzyyyyyyzyyyyy?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20.1 + 20. Let v = -0.1 + -0.9. Let c = 2 + v. Is i greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 - 24*x + 433. What is k(-27)?\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 5*d**2 - 3*d + 3. Let w be q(-5). Let r = 223 - 72. Let u = 178 - r. What is the greatest common factor of w and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 - 1. Let j = -2 - o. Let b(r) = -r**2 - 37*r - 337. Let h be b(-17). What is the closest to -0.2 in -0.09, h, j?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -588?\nAnswer: 58a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 388, 389, 390?\nAnswer: 391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 + 806*r + 6320.\nAnswer: 2*(r + 8)*(r + 395)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(b - b - 2*b**5) - 5*b**5 + 3*b**5 + 4*b**5 + 2*b**5 - b**5 - 3*b**5.\nAnswer: 2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 498.7993 to one decimal place.\nAnswer: 498.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 36 and 2.20035 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -56921 and 50776653.\nAnswer: 50719732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 7*t + 10. Let u be g(8). Suppose 7*i - u*i = 30. Suppose i*d - 13 - 59 = 0. Solve 3*r + d + 3 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*v - 5 = 92*v. Which is the third smallest value? (a) 1\/3 (b) -0.09 (c) v (d) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*r = 2*r - 80 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15425*4.\nAnswer: -61700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (33\/(-15) - -1)*(-595)\/34. Solve -10 = 4*c + 5*j + 31, -4*c - j = k for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/17)\/(((j*j**(-2\/41)*j)\/j)\/j))\/(j\/j**(12\/5)*j*j**5*j) assuming j is positive.\nAnswer: j**(-19551\/3485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1022012300140 + 3?\nAnswer: 1022012300143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 502, 3864, 12986, 30748, 60030, 103712?\n\"Answer: 480*l**3 + 2*l + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 54119 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/36)\/((-1)\/12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (-8)\/(-14) - 1854\/(-63). Suppose 23584 = 15*y + x*y. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 b, and 1 l when three letters picked without replacement from {s: 4, b: 5, e: 1, f: 2, y: 2, l: 1}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -811 - -897. Calculate the remainder when f is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 10:17 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 3289960?\nAnswer: 29609640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**4\/15 - 508*w**3\/15 - 7048*w**2\/5 - 37644*w\/5 - 54126\/5 = 0?\nAnswer: -31, -3, 291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(5 + -3) - -4. Let c(u) = u - 2. Calculate c(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25\/4 + -11\/2. Let s = 5 - 0. Let t = 49\/156 + 1\/52. Put 3, t, s, n in decreasing order.\nAnswer: s, 3, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*s + 0 - 10 + 10.\nAnswer: -48*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-7))\/(-8 + 1 + 6).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 6. Let p be i(2). Let n(s) = s**2 + 7*s - 9. What is the units digit of n(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24915 or -4470?\nAnswer: -24915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1365485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yht when three letters picked without replacement from tyttyvhhyth?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, j: 1, t: 4, u: 2, m: 2, d: 4}. Give prob of sequence jdmd.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a tonne in kilograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1*sqrt(156)*-4 - sqrt(156) - 4*1*sqrt(156)))\/((-2*sqrt(768))\/(sqrt(24)\/(sqrt(6) + sqrt(54)) + sqrt(4))).\nAnswer: 45*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4*(sqrt(11) + sqrt(33)\/sqrt(3) + sqrt(11)) + 4 + sqrt(99) - (0 + sqrt(99) + -2)) + 1)**2.\nAnswer: 5328*sqrt(11) + 58393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + 0.6. Let j = 6 - 5. Let f = 4 + j. Which is the second biggest value? (a) f (b) 2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -148 + 142. Is -327*(1 - (-8)\/p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/((-910)\/(-390)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 13 = -14. Suppose q*g = 10*g - 28. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 865*d + 1748*d + 1576*d - 154993 for d.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7109312 is divided by 29.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**4 + 4 - 4 + (3*c**3 - c**3 + c**3)*(-2*c - 4*c + 4*c) + 2*c**4 - 5*c**4 - 6*c**4 + (c**3 - 6*c**3 + 4*c**3)*(4*c + 3*c - 6*c).\nAnswer: -15*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1658249 + (0 + -11 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -86*b**3 - 2067*b**2 - 74*b - 28. Determine w(-24).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 24 + 1 = 5*q, 0 = -2*o - 4*q + 14. Factor 32*w**2 + 2*w**3 + 3*w - w**o - 35*w**2 - 1.\nAnswer: (w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.1, 0.5, 16.\nAnswer: 0.1, 0.5, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -11 - (0 + -1 + 9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4580*r**2 - 543*r**2 - 25850*r**2.\nAnswer: -21813*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(84\/(-144))*(7\/6 + (-1)\/(-2))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z + 142*z**2 - 142*z**2 + 8*z**3 to j*z**3 + v*z**2 + s*z + u and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 370 (b) -5 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/2 + (-15)\/(-18). What is the smallest value in 0.1, l, 5\/11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of 0*q**5 + 0 - 1\/120*q**6 - 202*q**2 + 1\/12*q**4 - 1\/6*q**3 + 0*q. Determine l(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -992*x + 19. Let l(n) = n - 4. Let f(z) = -b(z) - 4*l(z). Is f(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k + 100 - 22 + 373 = 0. Are -43 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 563*g - 8947. What is w(23)?\nAnswer: 4002","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f, v - 3*f = -2*v + 15. Suppose -v*r + 0*r = -350. What is the highest common factor of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1705004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kemvw. Give prob of picking 1 k and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -0.0689?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 6:39 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/10 of a millennium?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5998193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -56 - -11420114?\nAnswer: 11420025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45269846 is divided by 8374.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 2*r. Suppose 3*x + r*x = 3. Let i be (-57)\/(-12) - (-2)\/8. Calculate the highest common divisor of i and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m = -24, -2*x - 92 = -2*m - 3*m - 50 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12 - (0 + -2) - 3. Let u = -8 + j. Solve -4*s + 4*n = -0*s - 16, -5*s + u*n + 22 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*(r**(2\/7)\/r)\/r)\/r*r)**32)**(-10\/9) assuming r is positive.\nAnswer: r**(1600\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*c - 88, c - 1 = -5*a + 10. Solve c*g - 84 = 15*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*c**2*k**3 - c**2*k + 130*c**2 + 48*c*k**3 + 9*k**3 + 13*k**2 wrt k?\nAnswer: -210*c**2 + 288*c + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - 2*(1*sqrt(252) + sqrt(252)) - sqrt(252))\/(2*sqrt(48)))\/(-5*(sqrt(5082) + -4*sqrt(5082) + sqrt(42))\/sqrt(6)).\nAnswer: -sqrt(3)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s**2 + 22*s - 22*s)*(2*s - 4*s + 4*s) + (0*s**2 + s**2 + s**2)*(-s - 1 + 1).\nAnswer: -14*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 37159.\nAnswer: 11147.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010001111100 (base 2) in base 5?\nAnswer: 412221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-17525407\nAnswer: -17525406.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 359 + -357. What is the first derivative of -40*l**x - 63*l**2 - 134 + 14*l**2 + 7*l**2 - 52*l**2 wrt l?\nAnswer: -268*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 3:52 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i. Let h(a) = -357*a**2 + 101*a**2 + 1348*a**2. Calculate v(h(k)).\nAnswer: 4368*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - (0 + (-680)\/(-175)). Let z(y) be the first derivative of 0*y**4 + 1\/21*y**6 + h*y**5 + 0*y - 1\/7*y**2 - 3 - 4\/21*y**3. Factor z(x).\nAnswer: 2*x*(x - 1)*(x + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1877)\/(-6) - (-3)\/18. Let g = r + -102. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 5535 - 5523 = 5*p, 5*p - 139*h = -417 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -4. Let i = k + -7. Which is the closest to -2? (a) 3 (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*p = -27. Let u = 13 - p. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2708245, 2708263, 2708281, 2708299, 2708317?\nAnswer: 2708335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2360\/(-144))\/(-1)*-3*1\/(-3050) and 145\/2928.\nAnswer: 14640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 258, 482, 666, 798, 866, 858?\n\"Answer: -2*d**3 - 8*d**2 + 262*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -9 + t**2 - 3 + 4*t + 0 + 11*t. Let h be q(-16). Let r be 3 - h - 15\/(-9). Sort r, 2, -0.3.\nAnswer: -0.3, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*x - 8*x. Suppose 2*f = 3*s - 4, 0 = 3*s - f + 1 - 0. Let p be s\/(-6)*(9 + (-4 - -1)). Solve 0*k - 16 = x*k - j, k - p*j - 3 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -0.3 (c) 5 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13119, -52471, -118049, -209847, -327859, -472079, -642501?\nAnswer: -839119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2178 and 242?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -4. Suppose -a + 4*a = b. Solve a*w - 16 = 4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z**3 - 3*z + 3. Let x be m(2). Let j(c) = 3 - 3*c - 4 + x*c + 0. What is the remainder when 98 is divided by j(1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-5\/3)*u)\/(u*u**(1\/2)\/u)*(u**(-10)*u)\/(u\/(u\/u**10)*u) assuming u is positive.\nAnswer: u**(-101\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 129 + -129. Let r be -6*(t + 1\/((-2)\/1)). Solve 2*m + 8 = r*l, -5*l + 17 = m - 5 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6400144, 6400161, 6400196, 6400255, 6400344, 6400469?\n\"Answer: c**3 + 3*c**2 + c + 6400139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 666*s**3 - 332*s**3 - 332*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 5.23. Let v = -9 + 8.97. Let i = v + z. What is the closest to 1 in 0, i, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 266, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 47274 and 94548?\nAnswer: 94548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of 13*b**5\/30 + b**4\/24 + b**3\/6 - 2*b**2. Let a be h(-1). Calculate the greatest common divisor of 26 and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) -2\/7 (c) 1\/5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 11597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0) + 21 - (-8 - (-60 - -50)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.026 + 0.384. Let h = -2.61 + r. Let a = 2.24 + h. Sort 0.4, a, -0.2 in descending order.\nAnswer: 0.4, a, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.86 - 1.74. Put 0.3, u, 1 in ascending order.\nAnswer: u, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 28*t**2 - 48*t + 3. Let g be y(7). What is the derivative of -s - g*s**3 + 337*s**3 + s + 20 wrt s?\nAnswer: -21*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/48)\/(205\/(-1148))*-10.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2. Let y(k) be the first derivative of -1\/2*k**2 - 3 + 0*k. Calculate y(m(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 24913 and 1.34?\nAnswer: 24911.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-1872)*(-1656)\/621?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3\/30*-22)\/(-11*2\/(-110))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 13*w - 13 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 6:23 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 11\/8 of a week?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 177\/8 + (-1)\/8. Let q(d) = -2*d**3 + 123*d**2 - 55*d - 361. Let b be q(61). What is the third biggest value in -2, p, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 6:45 PM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 7*m - 4. Let q(w) = -4*w**2 - 29*w + 15. Let b(p) = 2*q(p) + 9*s(p). What is b(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 5. Let j = -169518 + 169515.00004. Let v = k - j. What is v rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4*(sqrt(91) - 1*sqrt(91)))\/sqrt(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 169 + -168. Let b(d) be the third derivative of 1\/6*d**3 - 1\/60*d**5 + 0*d + 0*d**4 - 3*d**2 + 0. Let r(p) = 8*p**2 - p - 4. What is o*r(k) + 6*b(k)?\nAnswer: 2*k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -11. Let z = p + -2. Factor -39*k**3 - 40*k**2 - 11*k - 18*k**4 + 4*k**2 - 3*k**z - k.\nAnswer: -3*k*(k + 1)**2*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 0.058\nAnswer: 0.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 723 divided by -414.\nAnswer: -241\/138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 734997545?\nAnswer: 5, 23, 199, 32117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b652 (base 14) to base 11.\nAnswer: -11707a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 18*o + 66. Let t(w) = -20*w - 77. Let a(m) = -7*g(m) - 6*t(m). Let l(u) = 99*u - 1. Give l(a(x)).\nAnswer: -594*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3 + 537*o - 1590*o + 1 - o**3 - 7*o**2 + 531*o + 518*o. Give d(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59976 divided by 6664?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/11, 4, -0.1, 8?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 17*s**6\/6 + 6*s**5 + 2*s**3\/3 - s**2 - 48*s + 8711. Find the third derivative of p(j) wrt j.\nAnswer: 1020*j**2 + 720*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i + 1 + 28*i**2 + 83*i**2 + 93*i**2 - 1.\nAnswer: 204*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 10*o**2 + 7*o + 5. Does 23 divide m(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 601 and -0.1411.\nAnswer: -84.8011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 750718*k**5 + 292079*k?\nAnswer: 15014360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 6. Let b be ((-4)\/(-3) - 2)*-3. Suppose v = b*s - 25, -2*v - 1 = -7. Solve s = u*x - y, 2*x + y + 3*y + 12 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 69555?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/15)\/((-4037)\/(-5505)).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2)\/(b**(-4\/13)*b) assuming b is positive.\nAnswer: b**(-35\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2446037 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + u + 100 = 4*u, 0 = -3*g - 5*u + 64. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeweeweeewe. What is prob of sequence ewee?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57.051 - 0.051. Let o = 47 - r. Let t = o + 9.06. What is t rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven quarters of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -20*d + 1217. Give l(173).\nAnswer: -2243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.11 and 687 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 60 - (2 - 3) - -2. Let n be 162\/(-126) - 2\/(-7). Let u be 54\/6 - (1 - n). Calculate the greatest common divisor of c and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17154843 less than -0.3556?\nAnswer: -17154843.3556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 788 = -f - 1128. Let v = -7729\/4 - f. Find the common denominator of 25\/28 and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + s - 2. Let w be t(-4). Let b be 1\/(-2) + (-5)\/w. Let m = 12 - b. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = t - 83, -11 - 34 = -3*k + 5*t. Suppose q + 15 = z + 3*z, 2*q - k = -2*z. Solve -y - q = 4*y, 10 = 3*r - 4*y for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/5*570\/(-1026). Put p, 4, 0, 14 in descending order.\nAnswer: 14, 4, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5*y**2 - 75*y - 32. Give w(15).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.5 and 0.0129269.\nAnswer: 0.04524415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 11*a + 0*a**4 + 1\/15*a**5 + 0*a**3 + 0 - 6*a**2. Let c(w) = 15*w. Give c(r(h)).\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 + 136 + (-42 - -2).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**3 + 108*m**2 - 7*m - 58. What is w(-54)?\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3 = -0*q. Let s = 37 - 40. Let a be (-7)\/63*(s\/(-3) + 1). What is the nearest to q in -3\/7, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7311\/6*(0 + 2)*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33092 or -34318?\nAnswer: -34318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12210592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 172 + -108. Let a be (-12)\/(-8) - 2\/(-4). Let k be (16\/6)\/(a\/6). What is the greatest common factor of k and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -2)*1 - (3 + (-1925)\/(-77))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6913.\nAnswer: 31, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2000, 5, 2 in decreasing order.\nAnswer: 5, 2, -7, -2000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -888552, 6 in descending order.\nAnswer: 6, 3, -888552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3187055\/112 + -28456. What is the common denominator of 75\/4312 and q?\nAnswer: 8624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b. Let v(g) be the second derivative of 13*g**5\/15 - g**3\/6 - 110*g**2 + 191*g. Let d(z) be the first derivative of v(z). Give d(l(n)).\nAnswer: 52*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*m = -0*m + 8, 4*r - 9 = 5*m. Which is the third smallest value? (a) 4 (b) -3\/7 (c) 8 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -7*o + 4. Calculate z(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 892 = -m + 928, 4*s + 0*s - 18 = -m for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**3 + 10*b**2 + b + 11. What is j(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8691?\nAnswer: 3, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by -20\nAnswer: 13\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -85? (a) 3 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 0 + 1\/21*n**7 + 0*n**5 + 0*n**4 + n**2 - 1\/60*n**6 - 1\/42*n**8 + 0*n + 0*n**3. Factor f(w).\nAnswer: -2*w**3*(w - 1)*(4*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 106511 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2010\/(-160) - (-12 + 2). Let v be (1 - 1) + (-1)\/16. Let d = v - h. Sort -0.17, d, -0.1, 0.5 in increasing order.\nAnswer: -0.17, -0.1, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3653994 and 4?\nAnswer: -14615976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -4. Let p(b) = b**2 + 7. Let o(w) = -3*w**2 + w - 15. Let j(y) = 2*o(y) + 5*p(y). Determine j(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(125))**2*-6 + sqrt(5).\nAnswer: -754 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 5. Let v(h) be the third derivative of 0*h**3 - 7*h**2 + 0*h + 0*h**4 + 0 + 1\/120*h**6 - 1\/30*h**5. Let b be v(2). Give a(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/4, -12, 11908817?\nAnswer: 11908817","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261085831?\nAnswer: 261085831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 5256*g - 5322*g + 0.\nAnswer: -66*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 337011846\nAnswer: -1\/337011846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*r + 4. Suppose 16 = r*v, -4*x - 2*v + 4 = -v. What is the derivative of 7*i**3 - 1 - 3 + x - 3*i**3 wrt i?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206 - 44 = -3*j. List the prime factors of 874\/3 + j\/(-81).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 8*l**2 + 26*l + 829. Let h be y(14). Solve -h = -2*m - 9 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + o + (-4 + 2 + 4)*(3*o + 3*o - 3*o))*(-2 + 0 + 4)*(1 - 3 + 0).\nAnswer: -28*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -10*o**2 + 2*o + 9. Let g be h(11). Let c = 789 + g. Let b = -233 - c. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 174*k**2 + 7*k - 1665. Let w(a) = -9*a**2. Calculate z(w(v)).\nAnswer: 14094*v**4 - 63*v**2 - 1665","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 4.53?\nAnswer: -4.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1102421 - 30?\nAnswer: 1102341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 3*a + 6, 5*a = 5*o - 0*o + 40 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 8\/5*y**3 + 2*y**5 - 18\/5*y - 24\/5*y**4 + 4*y**2 + 4\/5 = 0. What is y?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -35*p**2. Let v(x) = x**2 - 67. What is f(v(l))?\nAnswer: -35*l**4 + 4690*l**2 - 157115","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13208 + 24708 = 353*u - 6223 + 7427 for u.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2366\/34307)\/((-4)\/(-1798)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 - 43.4. Which is the third smallest value? (a) j (b) 4 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-68 + 52)\/((-2)\/(-63)). Let n = -503 - f. Let p = 1 - 1. Solve -q + n = -p for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2279 and 1?\nAnswer: 2279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -149*g - 4159. Calculate m(-28).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 8*u - 9. Let p be v(6). Suppose -p*n + 1 = -2. Suppose -h - 2*a - n = 0, 2*h - 4*a + 0*a - 22 = 0. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 9*g + 7. Let t be (-101)\/2*22\/(-1288). Let l = t + -7\/8. Which is greater: g or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.3 - -5.2. Is -5 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373341310 a multiple of 1620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*n - 28, 0 = 2*s - 3*n - 21 - 6. Calculate the remainder when -3 + 5 + 8 + 0 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/(-6)*-3 - 8. Let f be 2 - (37 - 36)\/(-1 + d). Solve 12 - 18 = f*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4410185\/72 - -61251. Find the common denominator of y and -43\/2628.\nAnswer: 5256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3564163938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + m - 300, 2*b - 5*m - 145 = 5. Let c(f) = 37*f + 20*f - b*f. Let r(g) = 5*g**2. Calculate c(r(p)).\nAnswer: -90*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2103.82 plus 3?\nAnswer: 2106.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/6387 and 55\/6387.\nAnswer: 6387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -273*r + 133*r - 5 + 111*r. Let v = -3 - -5. Let p(c) = -15*c - 2. Let m(f) = v*i(f) - 5*p(f). Let o(z) = -z. Determine o(m(t)).\nAnswer: -17*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000609 rounded to 5 dps?\nAnswer: -0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4026 is divided by 82.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + 34. Let d(k) = -461*k + 4167. Let b be d(9). Suppose b*h + f = 23*h. What is the smallest value in -2, h, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -32*w**2 - 4442. Let a(y) = y**2. Determine q(a(k)).\nAnswer: -32*k**4 - 4442","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -31. Let h = -17.99999964 - b. Round h to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4909484022?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 2658 divide 319271224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5659 - 1131 = 3*z - q, 0 = 4*z + 4*q - 6032. Round z to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*27 - (14 + -18). What is the second derivative of 3*i**3 - 38*i + 8*i**3 + 26*i - m*i wrt i?\nAnswer: 66*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (118\/826)\/(1149\/(-287) + 4).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 5d35?\nAnswer: 5d36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/sqrt(28) + sqrt(14)\/(sqrt(7) + sqrt(14)\/sqrt(2) - sqrt(7)).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 91*m**2 + 45*m + 4087. What is o(-91)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -498*r + 499*r - 9, -3*r + 4*q = -27 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.4, 270\/17, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.74 + 1.24. Let q = -0.51 - -0.01. What is the fourth smallest value in -0.4, -3, q, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millennium in months?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9631 - 9652 = 3*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -70*m + 7. Suppose 2*u + i + 16 = 11, 5*u = 5*i - 20. Let o(z) = -35*z + 4. Calculate u*g(t) + 5*o(t).\nAnswer: 35*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i**3 + 4*i**2 - 4 + 6 - 2*i - 6*i**3 as l*i**3 + o*i + b + m*i**2 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 75000 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 11353?\nAnswer: -2\/11353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 428403142 a multiple of 511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-4))\/(3\/168). What is the highest common divisor of i and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -608, -1229, -1862, -2513, -3188, -3893, -4634?\nAnswer: -5417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 535 - 522. Suppose -10*w - 5*p - 27 = -m*w, 17 = 2*w - 3*p. What is the remainder when 77 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 4 - 0. Suppose m*r = -2*r + 2692. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a meter in millimeters?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of l**4\/2 - 5*l**3\/6 + 19*l. Let a(t) = 7*t**2 - 6*t. Suppose -2*s = -5*n - 29, 2*n - 5*s = -30 + 10. Give n*a(f) + 6*x(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2123333 (base 5) in base 14?\nAnswer: -d221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27948747347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1377128.\nAnswer: 2, 79, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1260 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2811779*u**2 + 3415836*u.\nAnswer: 5623558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/11 and -14*(2 - 15\/8).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354972 is divided by 177472?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 2337905.\nAnswer: 2\/2337905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -523 - -540. Suppose 5*b - 31 + 11 = 0. Solve b*p + 3*o = 25, -5*p + o + 0*o + x = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (147\/(-2940) + (-27)\/10)\/(3\/(-60)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 45\/29 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.6 - 67.6. Let q = p + 43. Let y = 16.3 + q. What is the biggest value in -3, 1\/6, y?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29 and 522?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d - 7. Let p be v(7). Let o = 23 - p. Let l = -16 + o. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 8 + (-17 - -34) + (-28 - -25)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -12*s**3 + s**3 + s - s - s. What is q(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.89 - 3.7. Let x = a + -0.18999934. Round x to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 2:34 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -5\/4024?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*j + 4*v, -2*v = -6*v + 4. Suppose -3*d = -6, -5 = s - 5*d - j*d. Solve 10*n - 25 = s*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 286*i + 1380.\nAnswer: 2*(i + 5)*(i + 138)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -6*v + 16. Let l(s) = -5*s + 15. Let d(x) = 5*l(x) - 4*y(x). Let o be d(8). Suppose -k - 28 = -o*k. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 445597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*l**3 + 43 - 11*l**4 - 42 + 24*l**3 - 76*l**3 - 73*l**3 in the form f*l**3 + m*l + i + c*l**4 + t*l**2 and give f.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 90*x**2 - 4*x - 13 - 6*x + 6 + 3 to a + r*x + q*x**2 and give q.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17982*t*x**4 - 99*t*x**2 + 18*t*x - 2*t + 3*x**6 wrt x?\nAnswer: -431568*t*x + 360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 113 + -105. Suppose -q*k = -15*k + 42. Solve 4*r - k = 2*r, -x + 5*r - 12 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*24\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -320.2 and -138392.1?\nAnswer: 138071.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4383098426.\nAnswer: 2, 7, 313078459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)\/(sqrt(2) + sqrt(2) + (sqrt(2) - sqrt(32)*-2)))\/((sqrt(140) + sqrt(140)*1)\/sqrt(5)).\nAnswer: sqrt(7)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (159\/(-165) - (-83)\/(200860\/(-88))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.685 and -0.25.\nAnswer: 0.17125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - v - 4)*(-10 - 1 - 67*v + 11).\nAnswer: 67*v**2 + 268*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*m - a = -74*m + 65, 4*a - 28 = 4*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/(-45))\/(-3*8\/60).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 356 - 355. What is the third smallest value in -23, 3\/7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -7*j - 11. Let s = -1 - -4. Let t = 12 + -9. Let m(h) = h - 6 + 2*h - t*h - 4*h. Give s*c(k) - 5*m(k).\nAnswer: -k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 + 21. Let j be ((-2)\/(-12))\/((-16)\/(-96)). Sort j, 2, b in decreasing order.\nAnswer: 2, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 3*l**2\/7 + 438*l\/7 + 15987\/7 = 0?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, s: 2, m: 2, y: 2, l: 2, j: 4}. Give prob of picking 1 m and 1 k.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k**2 + 276*k - 1097. What is j(4)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -101123 (base 4) to base 10\nAnswer: -1115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3298 - 3256. Solve 40*j - z*j = -5*q + 15, -3 = -3*q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47797 or 382373\/8?\nAnswer: 47797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 3367\nAnswer: -1010.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 + 12*h + 4. Let g be 4505\/(-1105) + (-2)\/(-26). Let v(c) = c**2 + 11*c + 3. What is g*v(p) + 3*a(p)?\nAnswer: 2*p**2 - 8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 5. What is the remainder when (6\/3)\/(x\/(-102)) is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -757*h = -754*h - 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 - -6)\/(0 - 2). Suppose v = -y - 3*w + 2*w, -5*w - 8 = -3*y. Suppose -t - y = 0, a + 5*t + 8 + 2 = 0. Sort 1, a, -2 in increasing order.\nAnswer: a, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.12 and -3665549897?\nAnswer: 3665549896.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2494 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/24)\/(1\/2)*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - z + 2. Let p(f) = 2*f**2 - f + 4. Let k(h) = -13*n(h) + 6*p(h). Let t be k(6). Solve -2*l = 5*d - t, 4*l - 10 = -2*d - 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -424*s + 2496 - 2072 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/((-330)\/(-4)))\/((-14)\/(-10))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, g: 5, v: 4, m: 6}. What is prob of sequence ll?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 11*p**2 - 26*p + 58. What is j(10)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -195, -1544, -3791, -6936?\n\"Answer: -449*n**2 - 2*n + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2131?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -102012101 (base 4) in base 11?\nAnswer: -50770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1693661?\nAnswer: 1693661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82703?\nAnswer: 191, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -197, 13 in increasing order.\nAnswer: -197, -4, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*(6\/(-4))\/3. Suppose -2*s - 253 = -3*s - h*f, -4*s = -3*f - 1001. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 192 + -138 - (-2 + 75)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 58 = 4*x, -2*x - z + 14 = -x. What is the highest common divisor of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/6 - 2*6\/(-18)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 723 - 642. Calculate the smallest common multiple of 72 and z.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 131, 948, 3157, 7454, 14535, 25096?\n\"Answer: 116*f**3 + 5*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -4*q - q. Let g be (-1)\/(-14)*-2*q. Factor -2\/7*p**2 - g - 8\/7*p.\nAnswer: -2*(p + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/2091 or 8.21?\nAnswer: 8.21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/(18\/27)*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)\/sqrt(3)*-5)\/(sqrt(8)*3))**2.\nAnswer: 425\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-6*-3*(sqrt(13)*1 + sqrt(13) - sqrt(13))*2 - ((5 + sqrt(13))*-2 - (-5 + sqrt(52)))**2).\nAnswer: -236 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 8 = -2*k. Let o be -1*10*(-198)\/30. Suppose k*m = 4*m - o. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4567, 6999, 9431, 11863, 14295?\n\"Answer: 2432*x + 2135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 72\/(-21)*(1 + -8). Let v = 420 - 252. What is the highest common factor of v and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31290.4 rounded to the nearest one thousand?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -1, -0.1, 12 in descending order.\nAnswer: 12, -0.1, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 2 + 0 + (-9 - -13).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from ttff.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*o + 7*o - 4*o - 14 + 3*o - 894*o**2 + 13 as c*o**2 + v + q*o and give c.\nAnswer: -894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*t + 7. Let o(j) = -4*j**3. Let v(a) = -4*a**3. Calculate t*v(c) - 4*o(c).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18030 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and 699.95274244.\nAnswer: 699.45274244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54773408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 112 + -559\/5. Put 1, -2\/7, u, -0.25 in decreasing order.\nAnswer: 1, u, -0.25, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-486)\/(-27)*(-6)\/12.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -387*10.7\nAnswer: -4140.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13204*u - 12880*u - 6156 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**4 + 0*h**4 - h**4 + (0 - 4 + 2)*(2*h**4 + h**2 - h**2) - 5*h**2 + 5*h**2 - 2*h**4 + (1313*h - 612*h + 693*h)*(-4*h**3 - 2*h**3 + 3*h**3).\nAnswer: -4190*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/((v*v*v*v\/v**8)\/v)*v*v**13 assuming v is positive.\nAnswer: v**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*j**2*m + 978191*j**2 - 13694*j*m wrt m?\nAnswer: 17*j**2 - 13694*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55.17854 + -0.11646. Let j = n + 55. What is j rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -24*(-3 + (-28)\/(-8)). Is ((-2)\/5)\/(t\/3930) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3\/7 (b) 67.8 (c) 6.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(6\/13)\/o**(-5) assuming o is positive.\nAnswer: o**(71\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 8 = 3*b + 2*d, -2*b - d + 4 = 0. Let g(o) = 14*o. Is g(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13872 a multiple of 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 34*t**2 + 20*t - 1129. What are the prime factors of n(22)?\nAnswer: 15767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-38)\/5*(-20)\/40)\/(3\/(-30)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470458 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 33*p - 96. What is the remainder when u(28) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.2468 or 11?\nAnswer: -1.2468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8931*k - 18252*k + 9001*k.\nAnswer: -320*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*h**2 - 1 + 0*h**2 + (2*h - h - 2*h)*(-39 + 39 - 8*h).\nAnswer: 6*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17894 + 25360 = -1984*l + 9526 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -17. Solve d = u + 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zuuquoqquqooozdzqquo. Give prob of sequence qqz.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -17001 + 8501 + 8500 - 3020*l in the form p + k*l and give k.\nAnswer: -3020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 15 = -5*g, 4 = -3*g - h - h. Suppose g*y = y - 1. Let n be (-4)\/(-18) + y + 1. Are 1 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.076 - 0.024. What is the nearest to -13 in t, 4, 0.1, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three sixteenths of a day?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104 divided by -161.\nAnswer: 104\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*w + 3*w = -947, 4*v - 1885 = -w. Let q = 458 - v. Let i(g) = g**2 + 14*g - 2. Determine i(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/sqrt(3))**2 + 4 + 5 + 5*(-2*sqrt(1088))**2 + -3*(3 + sqrt(1377) + (sqrt(1377)*2 + sqrt(1377) - sqrt(1377)) + -4 + sqrt(1377)).\nAnswer: -108*sqrt(17) + 21789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*x - 4*x + x + (2 - 2 + x)*(5 + 3 - 6) - 68 - 14*x + 68)*(-4*x - 74*x + 0*x) to z*x + r + o*x**2 and give o.\nAnswer: 858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000026062 to seven dps.\nAnswer: 0.0000261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2 - 2)*(2*p**2 + p**2 - 4*p**2) - 2*p**2 + 4*p**2 - p**2 - 3*p**2 + 5*p**2 - p**2)*(0 + 3*p + 0)*(3*p**2 + 3*p**2 - 3*p**2).\nAnswer: 27*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23932 < 24817?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 + 45. Let i be d - 0 - -13 - (-2 - -3). Let r be 1*4\/i - 58\/(-6). Solve 6*j = j + r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**3 + 27025*j**2 + 37844040*j + 3551717520 = 0. What is j?\nAnswer: -2652, -101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, t: 2}. What is prob of picking 2 f and 1 t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6 - -8) + -4 - 17) + (2 - -22).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 0. Let s(f) = -f**3 + f**2 + 2*f - 2. Let t be s(x). Let g = 5 + t. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8102.681437 to 0 dps.\nAnswer: 8103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-6)\/q**(-1\/2))\/(((q*(q*q**(5\/3))\/q)\/q*q)\/(q*q\/(q**(-3)\/q*q))))\/(q**(-1\/3)\/q**(-3))**25 assuming q is positive.\nAnswer: q**(-419\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 78673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 v when four letters picked without replacement from {k: 2, v: 2, m: 2, h: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 3*f + 9. Calculate n(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o + 5. Let s = 25 + -23. Let c be ((-10)\/(-3))\/(1\/3). Let y be ((-12)\/10)\/(s\/c). Give w(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 1\/5 (b) -0.06 (c) 2\/7 (d) -1 (e) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 316 + 28?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.019*-41279.5\nAnswer: 784.3105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u - 16. Let a be h(-4). Suppose 2*b = 3*k + a*b - 268, 2*b = -2*k + 178. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.502 - 0.00375?\nAnswer: -14.50575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -705\/4 in increasing order.\nAnswer: -705\/4, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.5, 4\/29, 1 in ascending order.\nAnswer: -0.5, -0.2, 4\/29, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16322063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -186 + -137. Let b = y - -471. Is (4\/(-8))\/((-2)\/b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 1\/10, 1.9, 2\/7, -27\/143, 8?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 245977 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7\/2)\/(-7)*-18. Let c = d - 3. Is 4 a factor of 873\/45 - c\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -x**8\/1680 - x**4\/2 - 2*x. Let p(w) be the third derivative of d(w). Factor p(i).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*h**3*r**4 + 936*h**3 + 107*h*r**4 + 3*h + 2 wrt r.\nAnswer: 36*h**3*r**3 + 428*h*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, w: 3, z: 2, b: 1}. Give prob of picking 1 w and 1 e.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/88479 and -1\/8415336?\nAnswer: 75738024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 7541*w**2 + 45297*w + 272. What is j(-6)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, y: 4, v: 3}. Give prob of sequence yvy.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence si when two letters picked without replacement from sissssimismmsimi?\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -917*d + 469. List the prime factors of z(-3).\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 8:21 AM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 12*u - 25 = -9*u, 0 = -3*h + 5*u + 40. Suppose -3*c - 4*z + 21 = 13, 0 = -3*c + h*z - 10. Solve -4*y + c*y = -4*b + 12, -y + 4*b = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**4 + 56*w**3 - 59*w**2 - 114*w = 0.\nAnswer: -57, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4682280 is divided by 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 3*o - 7132 = -7140, -7*o + 18 = -2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(2\/3))**(-35)*(a\/(a\/(a\/a**(1\/3))))**(-28))**(-39) assuming a is positive.\nAnswer: a**4368","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 221.\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**5 + j**2 - 1. Let k(l) = 97*l**5 + 132*l**2 + l - 5. Let n(p) = -k(p) + 5*t(p). What is the third derivative of n(a) wrt a?\nAnswer: -6120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90297564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2 = 3*f + 5, 0 = q + 2*f + 2. Let x(l) = l**3 - l**2 + l + 3. Let j be x(q). Suppose -2*p - 1995 = j*p. Round p to the nearest ten.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kfum when four letters picked without replacement from {m: 2, k: 3, f: 6, z: 2, u: 1}?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 758, 1597, 2438, 3281, 4126?\nAnswer: 4973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, y: 4, i: 4, k: 6}. What is prob of sequence yiy?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-4)\/(s*s**(-24)) assuming s is positive.\nAnswer: s**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 141 + 411*u**3 - u**2 - 121*u**3 - 289*u**3 + 6*u to c*u + t*u**2 + j + k*u**3 and give j.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l + 181 = 2*t, 0 = -3*t - 5*l + 282. Calculate the greatest common divisor of t and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**23)**(-1\/28) assuming u is positive.\nAnswer: u**(-23\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1120\/(-42))\/((-100)\/(-60))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a**3 - 2523*a**2 + 590*a**2 - 904 + 1246*a**2 wrt a.\nAnswer: -6*a**2 - 1374*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78325 is divided by 19575?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120, 242, 364, 486, 608?\nAnswer: 730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 7543*s + 160283. Give z(-21).\nAnswer: 1880","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*((-1)\/8*-3)\/((-21)\/4).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = -5*l + 3*r, 8*l - 7*l + 64*r - 67*r = -18 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + j + 2. Let k be y(0). Suppose 4*w + 6 = -k*z, -3*w - 11 = -z + 1. What is the greatest common factor of 1 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of u*x**4 + 5*u*x**3 - 117959*u*x**2 + 2941*x**3 wrt x?\nAnswer: 24*u*x + 30*u + 17646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2553 and 4.\nAnswer: -10212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 - (-2 - -1) - -6. Sort 3, 0, w.\nAnswer: 0, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*d - 2980 = 0, -5*i = -3*d - 4685 - 280. What is the smallest common multiple of 594 and i?\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 6*w - 32. Let v be b(6). Suppose 5*x + 25 = 0, -2*x + 105 = v*s + x. Let a**2 - 6*a**4 + 9*a**4 - 31*a + 5*a**3 + s*a = 0. Calculate a.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15\/(-2))\/((-12)\/72). Let j be (-10800001)\/2 + d\/90. Round j to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00832226 rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**2 + 4547709*s + 13643154 = 0.\nAnswer: -3, 1515906","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1721*y + 2654*y + 8673*y + 7934*y.\nAnswer: 17540*y","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: (2\/(-132))\/(91\/(-546))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -m + 11, -2*m = 3*m - 5*j - 25. Let g(t) = -195*t - 7. Let w be g(m). Let i = w + 2565. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(525) + (sqrt(525) - (1*(sqrt(525) + (sqrt(525) + (sqrt(525) - sqrt(525)*-3) - sqrt(525))) + sqrt(525))))\/(sqrt(847) + 6*3*sqrt(847) + sqrt(847)).\nAnswer: -sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 172738 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 1:42 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 7*z + 3. Determine v(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21\/(-6) - 2\/(-4). Let p = 2 + a. Is 2\/9 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.342554858 times -3\nAnswer: 1.027664574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 67*z**2\/2 - 3*z + 4. Is l(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96552 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 1 - -6 - -3) + -10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/15 - (-2)\/10. Let d = -0.531 - 0.32. Let i = 0.051 + d. Which is the smallest value? (a) -5 (b) i (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -11*q + s + 46, -2*q = -2*s - 32. Suppose q*k = 1142 + 4678. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1635, -2\/9, 1, -4\/5, 2, -5\/3, 0.4?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1783156979772 + -1783157036603.15749972. Let a = -56777.1575 - n. Let g = a + -54. What is g rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 9:40 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4950*t + 4951*t - 6 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 213 (base 8) in base 15?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 335 and 150.\nAnswer: 10050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 16*c**2 + 31*c - 57. What is d(-18)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001100 - 1110110?\nAnswer: 100010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 50*0.134548\nAnswer: 6.7274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.459 + -51.741. Let k = c + 33.3. Let n = -19 - k. Sort n, 3, 2\/7 in increasing order.\nAnswer: n, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.08 and -8.73245.\nAnswer: 0.698596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -214120563 + -42?\nAnswer: -214120635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -23*g**3 - 4*g. Let k(f) be the first derivative of f**4\/4 + f**2\/2 - 960. What is 4*k(i) + w(i)?\nAnswer: -19*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4215012?\nAnswer: 2, 3, 197, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1113*505\/1414*4\/(-30)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -502 and 626.9.\nAnswer: -314703.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/12)\/(276\/322*14\/6)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/78809 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**2. Let n(a) = -15*a - 3 + 24*a - 9*a + 2 + 65*a**2. Determine r(n(x)).\nAnswer: -12675*x**4 + 390*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -2 + (1 - (2 + 11 - (-7 + -3))).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by ((-12)\/(-14))\/(78\/728)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14610 is divided by 858?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 8, -11, -58, -145, -284, -487?\nAnswer: -766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 559.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3980*v**2 - 3980*v**2 + 246863*v**3 + 50808*v**3.\nAnswer: 297671*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 7. Suppose -2*v - 4*n = 14, 3*n - o*n + 5 = -3*v. Let h(p) = -p**3 - 2*p**2 + 3*p + 3. Give h(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (42\/10)\/((-3)\/15). Find the common denominator of ((-6)\/(-20))\/(a\/(-644)) and (28\/8)\/((-27)\/42).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68 and 306.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22213*b**5 + 2*b**2 + 2578*b.\nAnswer: 1332780*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(2\/5)*c)\/c)\/(c**(-4\/9)*c))\/(c**(2\/25)\/c*c**8) assuming c is positive.\nAnswer: c**(-1403\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3*(-32)\/(-60) - -2)*10. Suppose -s*l - 204 = -6*l. Let o = l + -57. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/5 - 6*h + 28\/5.\nAnswer: 2*(h - 14)*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**2*q**3 + 2*o**2*q**2 + 2*o**2*q + 3*o**2 + 581*q**3 - 2*q + 161 wrt q?\nAnswer: 6*o**2*q + 4*o**2 + 3486*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 810332.1ml in litres?\nAnswer: 810.3321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 5) to base 9.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7954 and 65108.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -4. Let a be 7\/(-14) - k\/(-4). Suppose -b = b - 3*j - 22, 2*j - 7 = -3*b. Sort -1, b, a.\nAnswer: -1, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63986\/352165 + -4\/32015. Let r = 13.5 + 0.5. Let s = 3 + -2.8. What is the nearest to s in r, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1128889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (41\/(861\/(-84)))\/((-2)\/(-2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 + 137. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.1, -0.61, 1.6?\nAnswer: -0.61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b - 354*b**2 + 4935*b**2 - 3*b.\nAnswer: 4581*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzxxcccmxmzmx. What is prob of picking 1 x, 2 m, and 1 c?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/10)\/((16\/(-4))\/(-8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 8:39 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-5))\/((-35009)\/26930).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 506923365 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 9:46 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1489002 or -1489001?\nAnswer: -1489002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*n - 4 = 0, 2*u = -0*u + n - 8. Let t be (-1*2)\/(u\/26). What is the greatest common factor of 104 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 122813\/10 + -12291. Find the common denominator of -12\/101 and r.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4259 and 87705587.\nAnswer: 4259","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s - 23 - 3*s**2 + 2*s**2 + 23 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = -4*k. Let b = -150 + 154. Suppose 0 = 2*g + w - k, -g + b*w - 18 = -5. Put -2, 2, g in increasing order.\nAnswer: -2, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 767*y - 32223. Calculate u(42).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4862\/442)\/(((-308)\/184)\/(-7)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + -1. Let v = 2551 - 2546. Which is the third biggest value? (a) 1\/2 (b) p (c) v (d) -112\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24760 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-3))**(-4)*p*(p\/(p\/(p*p*(p**(-7)*p)\/p))*p)\/p*p*p*p\/p**(2\/39)*p assuming p is positive.\nAnswer: p**(154\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m*o**2*q - 2*m*o - m*q**2*u + m*q + 2*o**2*q**2*u - 6*o**2*u + 29*o*q**2*u + 13*o*q - 2*u wrt q.\nAnswer: -2*m*u + 4*o**2*u + 58*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 7.432, -3, -24, 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0075873 rounded to four dps?\nAnswer: 0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence quuz when four letters picked without replacement from xqmzzgzzzuzmugzuxuzx.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -944*k - 188. What is y(-2)?\nAnswer: 1700","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/199782 and 91\/22.\nAnswer: 199782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**3 + 94*x**2 - 89*x - 172. Give t(46).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 - 17*c + 25. Determine w(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56239 is divided by 12977?\nAnswer: 4331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4966688, -9933384, -14900080, -19866776, -24833472?\nAnswer: -29800168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -8*i - 4. Let k(b) = -b - 1. Let h(n) = -6*k(n) + v(n). Let j be h(3). Let m = j - -10. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 496.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (25\/550*-11)\/((-2)\/(-92))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(3\/19)*3. Let n = -11 + f. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/4)*g**(-2\/15)*g)\/(g**(1\/8)\/(g*g\/g**(2\/27))))\/((g**8*g*g**(-7)*g)\/((g\/(g\/(g*g**(-4\/9))*g))\/(g*(g\/(g\/g**(3\/4)))\/g))) assuming g is positive.\nAnswer: g**(-1919\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 22, 19, 16, 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 95997001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 475626 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -4115*u + 4119*u - 12 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 s when two letters picked without replacement from ysmmmmsmmtmmm.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 46170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m + 22*m - 2 + 17*m + 14*m.\nAnswer: 45*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1.0237 (b) 0 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**15)\/q*q**(7\/4)*(((q**10*q)\/q)\/q)**(-11\/8) assuming q is positive.\nAnswer: q**(-205\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 27, 43, 59, 75, 91?\n\"Answer: 16*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 7 = -5*x, -5*i - 5*x + 1 + 4 = 0. Suppose -445 = -9*o + i*o. Suppose 5*y + 19 = o. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 3:44 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(216)\/sqrt(9) + sqrt(24)) - (-1 + sqrt(2057) + (sqrt(2057) - -2*sqrt(2057)))**2.\nAnswer: -32913 + 353*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*x = -14, -2*u - 2*x + 32 = -0*u. Let v = u - 15. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 262304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89667 - 130777. Round q to the nearest one thousand.\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/216 and ((-19)\/(-2))\/(291\/(-12) + 4).\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y + 42. Let w be g(16). Let v be (4\/w)\/(39\/18 + -2). Put 0, 1, -2, v in decreasing order.\nAnswer: 1, 0, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 652 divided by -2.\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -310 - -315. Put 2, -7, a, 1 in increasing order.\nAnswer: -7, 1, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence auaa when four letters picked without replacement from {u: 10, a: 10}?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -29*v. Let h(q) = -213040*q. Determine b(h(r)).\nAnswer: 6178160*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 151 - 457\/3. Which is the second smallest value? (a) -87 (b) -2 (c) g (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17844 and 1668414.\nAnswer: 3336828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 421926 times 2?\nAnswer: 843852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 5*u + 2. Let z be k(-5). Find the third derivative of -r**2 - 6 + 6 - z*r**3 wrt r.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (88\/24 + -4)*15. Let x be f + (0 - (-148)\/32). What is the third smallest value in -1\/7, -4, -0.038, x?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 466945?\nAnswer: 466945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -324.5656 to the nearest integer.\nAnswer: -325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1743, 3584, 5633, 7992, 10763?\n\"Answer: 17*l**3 + 2*l**2 + 1716*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 1. Suppose 0 = -10*q + 13*q + 15. Let h(m) = -3*m - 2. Give q*n(a) - 2*h(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -6*m + b, 5 = 5*m - 17*b + 33*b - 21*b for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004024847 to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a**2 + 6*a + 5. Is 25 a factor of s(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*u - 13. Let i = 0.535 - 0.235. Let v(j) = -77*j. Let r be v(0). Which is the smallest value? (a) i (b) r (c) -2\/5 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (2 - (3 - -4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(144\/51)*141308\/15108. Let x = k + -2\/11331. Let t = -94361\/286 - -4272\/13. Find the common denominator of t and x.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175 + -180 - (-19 + 1 - -2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**4\/3 + 2153*z**3\/3 - 19134*z**2 - 972*z + 2066472 = 0.\nAnswer: -9, 18, 2126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 142943394 and 132.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**3 - 2*z**2 - z. Let u be o(3). Suppose u = -0*s + 12*s. Let g(h) = -h - 1. Let m be g(-4). Solve m*a = -2*a - s for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 30*r**2 + 136*r - 401. Let x be a(3). Let s = 3037 + -2059. Let w = x + s. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n + 19. Let a be o(8). Let u be (6\/9)\/(a\/9). Let g be (u - 1) + 0\/17. Solve 0*k + 3*k = c + 5, 0 = k + c + g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 431.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vblb when four letters picked without replacement from blvvbbvbvbvlblvbl?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47262 is divided by 65?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3223278 is divided by 65780.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 55.\nAnswer: -7\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 3:26 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -372.319 plus 3?\nAnswer: -369.319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 217403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 821718?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101202020202221 (base 3) to base 7.\nAnswer: 66363001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**2 - 621 + 700 + b**2 + 7*b**3 wrt b.\nAnswer: 21*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -0.1 (c) 79 (d) 19 (e) -0.5 (f) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -14*y - 13. Let v(p) = -5*p - 4. Let o(r) = 11*v(r) - 4*x(r). Suppose -409 = -5*b - 4*w, b - 33 - 56 = w. Suppose b*t - 72 = 91*t. Calculate o(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -4, 4104?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7 - (-19 + 11) - (1 - 2). Solve -4*p - 3*f + 23 = 0, 14 = g*p + p - f for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 5*h + 6. Let u be p(-4). Suppose -u*a + 3 = 5*q, -4 = 5*a - 5*q + 6. Let f = a + 6. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 1798483?\nAnswer: 17984830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 1 + 98 = 0. Solve 5*b = 4*a + k, -5*a + b - 6*b = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 318 = 43. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 7*j**4 - 5*j**3 + j**2 - 49*j. What is the second derivative of v(d) wrt d?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1006 (base 13) to base 5\nAnswer: 32303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 547 - 484. Calculate the highest common factor of 252 and s.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 + -0.7764143\nAnswer: -0.7164143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = k - 710, -2864 = -4*y - 5*k + 7*k. Let a = y + 69. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-4))\/(8 + -4). Let s = f - -1\/8. Let 1\/4*n + 1\/2 - s*n**2 = 0. What is n?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1137*g**5 - 2*g**2 + 295*g wrt g?\nAnswer: -68220*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**4 + 15*b**3 + 33*b**2 + 20*b + 3. Let d(f) = 12*f**4 - 164*f**3 - 364*f**2 - 220*f - 32. Let w(t) = -3*d(t) - 32*g(t). Solve w(x) = 0 for x.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 164025, 328032, 492041, 656052?\n\"Answer: u**2 + 164004*u + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p - 8. Let c be k(6). Let x = 33 + -29. Put c, 0, x in decreasing order.\nAnswer: x, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n**5 + 692*n**4 + 1274*n**3 - 15372*n**2 - 6768*n = 0. Calculate n.\nAnswer: -47, -6, -3\/7, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yeeyeyeqeleeyzyz. What is prob of picking 1 e, 1 z, and 2 y?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/11 in -225, 2, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + -1 + 2 + 100. Let o be s*(2 - (-10)\/(-4)). Is 2 + (6\/3 - o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -39 in -2\/3, -0.3, 0.5, 2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*19*(-3)\/6. Let a = 27 + h. Let l = -373 - -375. Calculate the lowest common multiple of a and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c**3 + 2*c**2 - 5*c + 3. Let l be d(1). Suppose -8*t = l - 94. Calculate the highest common divisor of 110 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*y + 5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-9))\/(4\/14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 4741*u - 5. Let c(b) = -56*b**2. Determine w(c(d)).\nAnswer: 3136*d**4 - 265496*d**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 148\/(-1184) - 129\/(-264)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1144 - -1120?\nAnswer: 2314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/11081 and 23\/2542298?\nAnswer: 17796086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - -16 - 16) + 1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 4:19 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*j + 70 - 136 + 99 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -699 or -2095\/3?\nAnswer: -699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 76817 at least -320\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -5*v - 27. Let c(b) = -2*b - 13. Let k(y) = -7*c(y) + 3*d(y). Let f be k(8). Suppose -z + 12 = f*z + 2*s, 2*s - 8 = -z. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 66*v**2. Let u(y) = -14*y**2 - 6*y + 24. Let t(p) = -2*p**2 - p + 4. Let w(h) = 6*t(h) - u(h). Give g(w(b)).\nAnswer: 264*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2211 is divided by 1023.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -10, -14, -12, -4, 10, 30?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g**2 - 16*g + 2. Let q(l) = 13*l**2 - 49*l + 7. Calculate -7*i(o) + 2*q(o).\nAnswer: -2*o**2 + 14*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7011453 milligrams to nanograms.\nAnswer: 701145.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1892885 or -1892886?\nAnswer: -1892886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 + -88. Let o = -7781\/4 - -1936. Find the common denominator of (-256)\/x*2*6\/4 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10002682, -10002673, -10002666, -10002661, -10002658, -10002657?\nAnswer: -10002658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 32829500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 81925\/11 or 7449?\nAnswer: 7449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 21 - 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -1\/15*i**5 + 0*i**3 + 0 + 0*i**4 + 0*i - 1\/20*i**6 - 3*i**2. What is the third derivative of g(w) wrt w?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132 and 42438.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 1 - 116. Suppose 0 = w + 2*q, -3*w - 9 = -q - d. Suppose 2*r = s + 8, 23 = 5*r + s - 5*s. Solve 0 = w*t, r*o - 3*t - 9 = t for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 3*q + 1. Let v(r) = -r**2 + r + 3. Suppose 4*w + 2*g - 32 = -2*g, -w = -4*g + 17. Let x be v(w). Let o be s(x). Solve l = 4 - o for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 40*q + 41*q + 1, -15 = 5*q. Put -3, v, -23 in decreasing order.\nAnswer: v, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j*q**3 + 78*j - 8359595*q**3 - 27026 wrt q?\nAnswer: -6*j*q**2 - 25078785*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005290934 rounded to five decimal places?\nAnswer: 0.00529","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * 231.\nAnswer: 4620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 314. Let o(c) = c + 117787. What is g(o(i))?\nAnswer: -i - 117473","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9002, 72114, 243466, 577196, 1127442, 1948342, 3094034, 4618656?\n\"Answer: 9023*r**3 - 18*r**2 + 5*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34.2*-25.\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -285 - -285. Let m be 2\/8 - 41\/4. Is m less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30.124 - -30. Round q to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*d - 8. Let g(h) = -3*h**3 + h**3 - 12 + 8*h**2 + 5*h + 3 + 3*h**d. Let l be g(-7). Solve 0 = -2*r - 4*m - 14, -7 = l*r + 2*m + 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2. Let q(x) be the first derivative of -x**2 + 7. Calculate q(c(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1410705.685 + 4.\nAnswer: -1410701.685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) 0 (c) -4447 (d) 19 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 108 = -s. Find the common denominator of 61\/6 and ((-57)\/s)\/((-1)\/3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21*1 + 31866\/1504?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbpp when four letters picked without replacement from ppsppbppbpwppp.\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8.7, -5, 0.2, 4, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 195e9?\nAnswer: 195ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 4:31 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2817 + -1658. What are the prime factors of i?\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 3*t + 2969 = 2983, 0 = -4*v - 5*t + 28 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51*h - 17*h - 24*h + 4*h**4 - 24*h**4 wrt h.\nAnswer: -240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qeqeedhqzexqq. What is prob of picking 1 d, 1 e, and 1 z?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 9*r**5 - 3930*r**4 + 10434*r**3 - 7812*r**2 - 3*r + 1302 = 0.\nAnswer: -1\/3, 1, 434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and 0.035716.\nAnswer: -0.264284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 49*z**2 - 159*z - 178. Determine x(45).\nAnswer: 767","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.15737 + -0.04737. Let b = 4 - 4.3. Let h = -0.4 - b. Which is greater: h or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/14*(-2576)\/15088.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**4\/12 - b**3\/3 - 8*b**2 + 545*b - 2. Calculate l(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 65, 73, 81, 89, 97?\n\"Answer: 8*l + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 96214015 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s - 40. Let u be k(10). Let w = 51 + u. Is -29 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 1:27 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-14) - (-240)\/(-56). Let s(g) = 5*g - 57 + 29 - 4*g**2 + 27. Let p(b) be the first derivative of b**3 - 2*b**2 + b + 1. Give a*s(t) - 5*p(t).\nAnswer: t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 4:15 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*q + 4*p + 2, 4*p - 6 = -2*q. What is the highest common divisor of 1 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + a + 4. Let s be x(3). Suppose -2*u = -5*u - 15. Sort u, 7, s.\nAnswer: u, s, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14\/3 in -41, 0, -5\/6, -220?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(1 - 2\/2). Suppose q = 3*r - 21 - 3. Is (-259)\/(-4) + 2\/r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002853803 rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11404 + -170998\/15. Calculate the common denominator of y and 35\/11.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/66*-2)\/(-1))\/((-50)\/(-300))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 2*s + 14 - 8, 2*s = h - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g. Determine q(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 114*y**3 - 112*y**2 + 24076 wrt y?\nAnswer: 342*y**2 - 224*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b - 7. Let n = -23 + 23. Let u be h(n). Let g(t) = 2 - 2*t**2 - 4*t + 0*t + 3*t. Let j(w) = -6*w**2 - 3*w + 7. Give u*g(i) + 2*j(i).\nAnswer: 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69 - -52. Let s = y - -37. Solve 5*l + 1 = 5*h + 6, 5*l - s = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83587 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 287 and -0.1829901?\nAnswer: 287.1829901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2154*t**3 - 307*t**2 + t.\nAnswer: 12924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**5 + 5*c**4 - 12*c**3 - 6*c**2 + 8*c - 4. Let y(j) = 3*j**5 + 5*j**4 - 11*j**3 - 5*j**2 + 8*j - 4. Let i(p) = 4*h(p) - 5*y(p). Factor i(w).\nAnswer: (w - 2)**2*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1914 and 103965.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nbbnbbbnbuunbbnbnn. What is prob of sequence ub?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 u when two letters picked without replacement from {g: 5, o: 4, u: 1, b: 8}.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15\/10)\/((-3)\/(-64)). Let j = -45 + w. Let k = j - -18. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -357, -844, -1523, -2394?\nAnswer: -3457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**2 + 2*h - 1. Let r(m) = 5347*m**3 + 80205*m**2 - 53470*m + 26735. Calculate 26735*l(s) + r(s).\nAnswer: 5347*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o - 14. Let s be b(-13). Let a be 2 - ((-3)\/s - 10). What is the first derivative of 15 - a + q - 3*q wrt q?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d**3\/d)\/d*d*d)\/((d*((d*d**(1\/5))\/d)\/d)\/d))**24\/((d\/d**(3\/4))\/((d*d**(-2\/11))\/d)*(d*d*d**(-6))\/d**(2\/5)) assuming d is positive.\nAnswer: d**(26217\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(20\/4)*(-2 - -3). Let l = -1 - -1. Put -1, l, j, -2 in descending order.\nAnswer: j, l, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2172*i = 5*q + 2173*i + 30, 0 = 5*q - i + 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -3. Suppose -4*n = y - 4*y + 7, -2*y + 2 = -s*n. Let d = n + 26. What is the highest common divisor of d and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14924*s - 14924*s + s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(51\/12)*-1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/2, 1\/3, 1\/6, -0.07 in decreasing order.\nAnswer: 3, 1\/3, 1\/6, -0.07, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2100)*2 + sqrt(756)*1)*-4)\/((3*sqrt(3)*-1 + sqrt(300)*2)*-3).\nAnswer: 104*sqrt(7)\/51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 37408232 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9, 28, 73, 156, 289, 484?\n\"Answer: 2*u**3 + u**2 + 2*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 329709 less than or equal to 329712?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83e7 (base 15) to base 13.\nAnswer: c907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 371791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -4c?\nAnswer: -4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 14*w**2 - 21*w + 69. What is the lowest common multiple of y(-12) and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(16)\/sqrt(2))\/(4*sqrt(4)*-3).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 8:18 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 12*(-7)\/(-28).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -147.0000019 + 147. Round b to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + 2*t**4 + (3*t**4 - t**4 - 3*t**4)*(0 - 1 + 0) - 2*t**4 + 4*t**4 - 4*t**4 + 7 - 2*t**4 - 7 + 1 + 2*t**4 - 1.\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 5.691, -0.08, 0, -3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00177826 rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m - 4*m + 0*m)*(-m - 3*m + 3*m) - 214*m**2 - 337*m**2 - 92*m**2 - 5*m**2 + 3*m**2 - 3*m**2 to the form a*m**2 + h*m + k and give a.\nAnswer: -647","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 1:26 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**8\/3360 - z**7\/1260 - z**6\/360 + z**5\/60 + z**4\/6 - 2*z. Let a(b) be the third derivative of w(b). Factor a(p).\nAnswer: 2*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 10:40 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*y**3 - 25*y**3 - 22*y**3 - 19*y**3 - 23*y**3.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19117?\nAnswer: 7, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5072651.\nAnswer: 29, 211, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165\/(-66) + 286\/4 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 468284.4mg to nanograms.\nAnswer: 468284400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3238 (base 12) in base 13?\nAnswer: -2684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3, -21, -49, -87?\n\"Answer: -5*f**2 - 3*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 0.1\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -598804, -2395212, -5389228, -9580846, -14970060?\nAnswer: -21556864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 7:49 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2120, -4178, -6248, -8336, -10448, -12590, -14768?\n\"Answer: -s**3 - 2051*s - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y**2 - 2*y + 1. Let t be r(1). Solve 3*k + 3*q = -12, -4*k - q - 7 - t = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 10647?\nAnswer: 10644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 23*y - 5. Let x(i) = -12*i + 3. Calculate 4*u(s) + 7*x(s).\nAnswer: 8*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 403686?\nAnswer: 2, 3, 41, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15\/10)\/((-1)\/(-6)). Let w = x - 15. Calculate the remainder when 8 is divided by (-1 - -3)*w\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 0 = 14. Solve 0 = 3*h + k*f + 11, -5*h + 0 = f + 9 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (40\/(-15) + 2)\/(1\/(-3)). Let k(b) = 15*b**x + 4*b + b**2 + 5 - 11*b**2 - 6*b**2. Give k(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(425)*1)**2 - sqrt(425) - sqrt(425).\nAnswer: 10*sqrt(17) + 429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 9947*d - 9933*d = -36, -2*m - 2*m - 3*d + 3 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 939.7 rounded to the nearest ten?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v**3 - 9*v**2 - 6*v + 1. Let i be 2\/8*(4 + -6 + 6). Let r(y) = y**3 - y**2 - y. Calculate i*n(f) - 6*r(f).\nAnswer: -2*f**3 - 3*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 24*u**2 - 2576*u - 65. Calculate j(107).\nAnswer: -921","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11, -1, 23, 67, 137, 239?\n\"Answer: w**3 + w**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 20*y - 9. What is d(14)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -46173?\nAnswer: 46178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o - 2. What is the remainder when 20 is divided by c(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 8*d + 2. Let w be o(9). Let y(a) = -2*a**3 - 31*a**2 - a + 135. Let p be y(-16). Calculate the greatest common factor of w and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1154568 divided by -8?\nAnswer: 144321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*k**3 - 318 - 14*k**3 - 280 + 12*k**3 + 598 + 5*k**3.\nAnswer: -11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29.1 - 24.1. What is the smallest value in -1\/4, -0.2, d, 11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*i + 2846800 = 15*i. Round i to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8256316 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 9:29 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 381552670 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-9))\/(8\/(-60)). Suppose i + 2 - 6 = 0. Let w be 2\/i*0 + -1. What is the second smallest value in w, c, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16677375 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**5\/120 + r**3\/6 - r**2 + 75*r - 1. Let i(v) be the second derivative of g(v). Let b(a) = 27*a**2. Determine i(b(t)).\nAnswer: -27*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**5\/7 + 304*d**4\/7 + 5776*d**3\/7 = 0. Calculate d.\nAnswer: -38, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/3 + (-8)\/(-3). Let z(x) = 15*x**2. Let b(t) = -286*t**2 + 15 + 149*t**2 + 129*t**2 - 15. What is d*z(s) + 5*b(s)?\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 99 = -21*l, 17*l - 40*l + 19*l - 53*d - 249 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 2. Let w be 2*(-3)\/n*-5. Let t = w + -3. Calculate the greatest common divisor of t and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i. Let h(g) = -5*g. Let u(m) = 6*h(m) - 33*y(m). Let p(r) be the first derivative of r**2\/2 - 2. Determine p(u(l)).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35947 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20982 = 361*g + 756*g - 310*g for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 a when two letters picked without replacement from aaajaajaaaa.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2\/4 - 952*w + 635.\nAnswer: -(w + 1270)*(3*w - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 7*l - 2*l - 3 + 1 + 3*l**2 - 2*l**2. Let k be h(-6). Suppose -g = t - 8, 14 = 3*t + k*g - 5. What are the prime factors of t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -39 in 3, -3.2, 277, -1\/6, 1?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 894*k - 142 = 890*k + 2*i, 3*k - 3*i - 117 = 0. Suppose n - 108 = -3*n. Solve k - n = -a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of 197*h**5\/20 - 9*h**4\/4 + h**2\/2 - 2*h + 1. Find the third derivative of k(q) wrt q.\nAnswer: 1182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**5\/7 + 138*x**4 - 6688*x**3\/7 + 1632*x**2 = 0.\nAnswer: 0, 3, 4, 476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 8:35 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74.07 + 73.97. What is the nearest to q in -1\/17, -2\/5, -0.9?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.6 - 60.2. Let d = s + 44. What is the second smallest value in d, 10\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4*t**2 + 2)*(-2 + 2 - 1) + 3*t - 3*t + t**2 + (5*t - 4*t - 2*t)*(0 + 0 - 2*t) + t**2 + 2*t**2 - t**2 to the form r + f*t**2 + b*t and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/3*(-855)\/(-150). Let l = 27 - s. Which is the third biggest value? (a) 2\/3 (b) 1.6 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -467\/7 + 67. Let f = -3030 - -3030.3. Which is the fourth biggest value? (a) -6 (b) g (c) 3 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i - 2. Let f be v(-5). Suppose 0 = b - 4*s - 6 - 17, 0 = 5*b + f*s. Suppose n = -b*n. Solve n = -4*y - 5 - 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 4*j**2 + 2*j + 1. Suppose 5*n = 3*n - 6. Let k be ((1 - n)*-1)\/(-2). Suppose k*q + 2*q = -16. Calculate y(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7691685 by 15.\nAnswer: -512779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*u + 426 - 10200 = 0, 5*a - 2*u = 16271. List the prime factors of a.\nAnswer: 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -129 in 4, 2\/7, 1, 0.2, 9.9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 7*f - 39, -106*h = -105*h - 5*f + 29 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -9*a**3 + 5*a - 9. Let o = 14 - 19. Let w(z) = -5*z**3 + 3*z - 4. Let f(s) = o*w(s) + 3*v(s). Differentiate f(h) wrt h.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3135 and 3705?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164 divided by 82.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 3)*(1252*r + 812*r + 1694*r + 4975*r) to l*r + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1 + -1 + 4*(sqrt(19) - sqrt(38)\/sqrt(50)))*3.\nAnswer: 6 + 48*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/21)\/((-15)\/45)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**2 - 42*i + 35. Calculate z(-18).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/55 and -91\/818576.\nAnswer: 4092880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-24576)\/(-42))\/(-4) - (-4)\/14. Let n = -96 - u. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5*x + 1 - 2*x + 0*x + x + (-2*x + 0 + 0)*(1 + 1 - 3))*(0*x**4 - x**4 + 0*x**4).\nAnswer: -6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5798)\/39)\/((-2)\/3). Suppose 19*m = q + 119. What is the smallest common multiple of (-114*1)\/(-2) - -1 and m?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - m**2 - 5*m + 6. What is y(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y**3 - 4*y**2 + 11*y + 6. Let k(x) = -x**3 - x**2 + x + 1. Suppose 15 = 8*f - 17. What is f*k(m) - w(m)?\nAnswer: m**3 - 7*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -381\/10 - -169\/5. Calculate the common denominator of -79\/14 and u.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j**2 - 5. Determine s(3).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 2*i + 3. Let z be p(1). Let a be 98\/(-28) + z\/4. Let r(j) = -j**3 - 3*j**2 - 4*j + 7. Is 4 a factor of r(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05212 to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 89*m**2 - 989*m + 92. Determine b(-99).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19022*s**3*z**2 + 8*s**3*z + 11*s**2*z - 14*s wrt z.\nAnswer: -38044*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1734 divided by 289.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2278390 - -0.056476.\nAnswer: -2278389.943524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -44045.\nAnswer: -1\/8809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2630 + 2659. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3329 = 4*x - 17897, -4*m - 26537 = -5*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -169853.\nAnswer: -169853.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -66*w + 8. Suppose -6*o + 2*o - 28 = 0. Let b(r) = -22*r + 3. Let l(x) = o*b(x) + 2*d(x). Is l(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(84)*2 + sqrt(84)*-1*-4)*2)\/((4*sqrt(108)*-2)\/sqrt(9)*6).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u - u - u + (-6 + 2 + 3)*(-u - u + u) + 4*u + u - 6*u + (-387*u + 424*u + 395*u)*(-1 + 5 - 3) in the form v + k*u and give k.\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22150174?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.074168 to 3 dps.\nAnswer: 0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a kilogram in grams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 7395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 4*g - 280 = 0. Suppose -3*q + 9*f - 4*f + g = 0, 0 = 4*f - 8. What is the remainder when (-9)\/(-6)*13\/(39\/216) is divided by q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = v - 3*q, 2*v + v - 6 = q. Suppose 0 = v*o - 3 - 12. Suppose -1 - 9 = -p + 4*h, -4*p = o*h + 2. Solve -3*r = p*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 13*z**3 - 8*z**2 + 2360*z - 2574. Let o(a) = 10*a**3 - 6*a**2 + 2361*a - 2576. Let d(k) = -3*m(k) + 4*o(k). Find the first derivative of d(g) wrt g.\nAnswer: 3*g**2 + 2364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -1) + -35 + 2.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/6, 58, 18.1, -9\/5, 0?\nAnswer: 18.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 65699.202 and 412013.\nAnswer: 477712.202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 173 + -163. Let s be -2 + h - (-1 + 9). Solve -2*q + 14 = -2*y, s*y + 5*q - 31 = 3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -z**4\/66 + 7*z**3\/33 - 10*z**2\/11 - 107*z + 86. Let m(i) be the first derivative of y(i). What is u in m(u) = 0?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjv when four letters picked without replacement from jjjjjjjjjjvjj?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220) - -5*sqrt(220)*4)\/(sqrt(22)\/sqrt(2)*3 + (sqrt(132)*-1)\/sqrt(12)).\nAnswer: 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 - 24. Suppose 47 - b = 2*g. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 2*a**2 + 10*a - 8. Let f be p(4). Let v(m) = -19*m + 7*m + 4*m + 11*m + f*m - 18. Calculate v(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*b**3*y**3*z - 1453*b**3*y**2*z**2 + b**2*y + 8*b**2*z**2 + 9*b*y**3*z - b*y**2*z + 3*b*y*z wrt b?\nAnswer: -30*y**3*z - 8718*y**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2752, 2749, 2744, 2737, 2728, 2717?\n\"Answer: -f**2 + 2753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*u = v - 15*u - 46, 0 = -3*v + 80*u - 85*u + 38 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(3) - sqrt(3)) + 1 - (-2*sqrt(147) - sqrt(147)))**2.\nAnswer: 38*sqrt(3) + 1084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*p - 1342 = 417*p + 6502 for p.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 232 and 167323736?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1584571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3786 + 3494. What is g rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -695 times -0.4\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.83 - 0.03. Let q = -0.80008 + a. Round q to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 179, 174, 169, 164, 159, 154?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/2*(-1 - -39). Let r(p) = -69*p - p**2 - f + 2*p**2 + 60*p. Let m be r(11). Solve -2*g + 2*j = 2, 0*j - 3 = m*g - 2*j for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 73, -2077, 683?\nAnswer: -2077","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from seseeeeeee. Give prob of sequence se.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uufuuffuuufsfuuufuf. Give prob of sequence fuus.\nAnswer: 385\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.2, 24\/13, -1, 3, 3\/8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -8*2\/(-4) + -3 + 1. Suppose -g*f = -2*m - 1628, 0 = -0*f + f - 2*m - 813. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121652662601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t + 11*t + 0*t + 4*t + 14.\nAnswer: 12*t + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1410460 is divided by 545?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + i = -4*i - 41, -3*a + 4*i = -32. Let c(r) = -r - 6. Let s be c(-5). Let q = a + s. Calculate the lowest common multiple of 4 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252552?\nAnswer: 2, 3, 17, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 28*r**2 + 43*r - 83. Determine u(26).\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*i**5*r*w - 330*i**4*r*w**2 + 5*i**2*r*w - 25*i*r*w**2 + i*w**2 wrt i?\nAnswer: -660*i**2*r*w - 7920*i*r*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.037 and 0.4.\nAnswer: 0.0148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 k when two letters picked without replacement from {k: 1, a: 1, p: 2, f: 2, c: 2, y: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 91*s**2 + 183*s - 439. What is i(89)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3858885357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -850289 and 0.64?\nAnswer: -544184.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -5, 15, -10 in increasing order.\nAnswer: -10, -5, -4, -2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*s**2 + 106*s - 3 - 423*s + 114*s + 112*s + 91*s.\nAnswer: 26*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 5. Let o(l) = l**2 - 4*l - 21. Let q be o(9). Let v be k\/(1 + (-27)\/q). Solve 5*g + v = -1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/2486 and 38\/8701.\nAnswer: 17402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.2 (b) -5 (c) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/7 - 149*m**3\/7 + 930*m**2\/7.\nAnswer: -m**2*(m - 6)*(m + 155)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o = -4840 - 1656. What are the prime factors of o?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 6) to base 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -651 - -758. Is l >= 106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q + 114. Determine c(-24).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 756666*l - 930. Let s be y(5). Round s to the nearest one hundred thousand.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1693575 is divided by 1019.\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**5\/20 - i**4\/12 - i**3\/6 + 7*i**2 - 2*i + 18. Let w = 22 + -40. Let o = w - -18. What is b(o)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 + -35240?\nAnswer: -35304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -103699\/5580 - -578\/31. Find the common denominator of -83\/210 and f.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64412.46kg to tonnes.\nAnswer: 64.41246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2312 and 25956.\nAnswer: -60010272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -789 - -870. Let w(k) = k**2 - k + 9. Let v be w(0). Calculate the greatest common factor of v and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**4 + 7*k**3 + 20*k**2 - 11*k + 7. Let x(r) = 2*r**4 - 8*r**3 - 22*r**2 + 12*r - 8. Let d(i) = 8*t(i) + 7*x(i). Factor d(u).\nAnswer: -2*u*(u - 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/54 and -19\/54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - x + 0*x)*(-2*x**2 - 1 + 3*x**2 + 0*x**2)*(x**2 - 4 + 4).\nAnswer: 4*x**5 - 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/(-78)*12\/60.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1284*j + 770 = -1394*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - 2*p**2 + 2*p**2)*(3149 + 1981 - 1861).\nAnswer: 6538*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49120 is divided by 16123.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-1)\/4)\/((-21)\/(-4))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -64176574*q + 26788171?\nAnswer: -64176574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(343)*-2)**2 - ((-1*sqrt(28))**2 - (sqrt(112)*1)**2).\nAnswer: 28*sqrt(7) + 1457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53595353, -53595356, -53595359, -53595362, -53595365, -53595368?\nAnswer: -53595371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(7\/((-504)\/(-40))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.81 - -0.31. Let s be (2\/(-3))\/(10\/6). Which is the nearest to s? (a) -10 (b) 0.1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**3 + 87*y**2 - 87*y**2 + y to t*y**3 + k*y**2 + h*y + n and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2579*n**2 - 3*n + 31. Is m(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 6*w**2 - 5*w - 12. Let y be s(7). Suppose -y*c - 8 = 2*c. Let z be 6750*(-280)\/(c\/((-40)\/6)). Round z to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 - 114*u**2 + 1245*u - 4158.\nAnswer: 3*(u - 22)*(u - 9)*(u - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (sqrt(11) - (sqrt(11) + sqrt(11) + -1 + -2))**2 - (2*sqrt(704))**2.\nAnswer: -2796 - 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - -49188726010.321?\nAnswer: 49188726017.321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -2761*s**9\/504 + 157*s**5\/30 + 2347*s**2. Find the third derivative of g(b) wrt b.\nAnswer: -331320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 19*n**2 + 15*n + 22. Is x(19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 13*y**2 - 15*y + 11. Let f(q) = -q - 4. Let s be f(-5). Let r be v(s). Let h = -50 - -194. Calculate the highest common factor of r and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5 = 3*i - 7, -2*f - 21 = -5*i. Let v(g) = 90*g - 21. Let q(r) = -60*r + 14. Let u(h) = 7*q(h) + 5*v(h). What are the prime factors of u(i)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 20 = -3*y. Let n(f) = -f**2 + 5*f + 2. Let k be n(5). Suppose -y - k = -2*w. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2885534*t**4 - 97915249*t wrt t.\nAnswer: -34626408*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -4 - (2 - 3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 17*q**2 + 17*q + 18. Let d be c(-16). Put -3, 6, d in descending order.\nAnswer: 6, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/3 - 97\/((-4)\/(-4)). Let h be 588040\/c + (-2)\/(-5). What is h rounded to the nearest 100?\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*b + 15, 4*b = -y - 2*y - 20. Suppose y = 5*i - 9*i + 56. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 7*f**2 + f - 4. Let x be p(7). Let s(n) = -8*n**2 - x - 5*n + 2*n**2 + 2*n**2 + n**2. Determine s(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2 + (sqrt(1700) - -2*sqrt(1700)) + 0) + -2*(-2*(sqrt(68) + sqrt(68)*1) + sqrt(68) + -1))**2.\nAnswer: 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 12:57 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102 + 105*k**3 - 81 - 100*k**3 + 183.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 18.3. Let z = 1.7 + d. Put 2\/3, z, -2\/5 in increasing order.\nAnswer: -2\/5, z, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - 2*2*sqrt(68)) + (sqrt(68) + 2*sqrt(68) - sqrt(68))*6)\/(2*(sqrt(32)\/sqrt(2))\/sqrt(4)).\nAnswer: 9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.5 (b) -9 (c) -4 (d) -0.21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, x: 7}. Give prob of picking 1 q and 1 x.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**4\/2 - 1137*a**3\/2 + 68400*a**2.\nAnswer: -3*a**2*(a - 96)*(a + 475)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1650723 (base 9) to base 12\nAnswer: -383aa0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 10 = r, -r - 15 = 2*r. Let j = 30 + q. Suppose -66 = -5*m + j. Solve 16 = -a + 5*d - 7, 4*d = a + m for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5509954*a**2 - 11702250 wrt a.\nAnswer: 11019908*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 11:25 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/60)\/((-3)\/6)*670\/(-603).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/44 - -153\/308. What is the third biggest value in -2, z, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29219 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -548*u - 108*u + 50136 = 27445 - 54717 for u.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 4 - (-3 - -9 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.06 - -6. Let f = 0.36 + u. Let k = -19\/140 + -3\/20. Which is the third smallest value? (a) -0.3 (b) f (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -877710, -877704, -877694, -877680, -877662, -877640?\nAnswer: -877614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 - 8. Let r be l\/(-85) + (-12)\/(-110). Is r smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 11\/2. Let u = -1184 - -1179. Put h, 2\/5, u in descending order.\nAnswer: h, 2\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-2 - (1 + -8) - 7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8878 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -216567 divided by 39\nAnswer: -5553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60\/3173 or 0?\nAnswer: -60\/3173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 996750367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -7 (b) 2\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 220*f**2 + 4040*f + 2589. Calculate j(-237).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -2) + (129 - 176) - (1 - 10)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -13*w**3 - 326*w**2 + 7*w + 60. Determine v(-25).\nAnswer: -740","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 93.53 + -95.53. Which is the closest to 4\/33? (a) 0.5 (b) 3 (c) 0 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 6 + 2 - 1 + b. Suppose 4*w = -j + 10, -103 = -4*j + 3*w - 139. Let o(q) = -1. Let s(g) = j*o(g) - k(g). Let f(t) = 5*t + 4. What is f(r) + 3*s(r)?\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 3:35 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 34*g - 12. Let a(h) = h**3 - 19*h**2 + 2. Let o be a(19). Let w be o*(36\/4)\/3. What are the prime factors of s(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 40\/3*a**3 + 3 - 5\/12*a**4 + a - 160*a**2. Factor p(m).\nAnswer: -5*(m - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(76))\/sqrt(4) + (sqrt(114) + (sqrt(114)*-1 + sqrt(114) - sqrt(114)))\/sqrt(6).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8 - 0) + (0 - 2). Suppose 20 = a + 3*a. Let l(x) = -x**2 + 3*x - a + 2*x + x + 0. What is l(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4590*i**2 + 20*i - 8*i - 4598*i**2 - 1343 wrt i?\nAnswer: -16*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 185 + -182. Let s = 1 + c. What is the remainder when s is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k*q*y + 409*k*y - 5*k + 21856*q**4*y + 9 wrt q?\nAnswer: 2*k*y + 87424*q**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44573 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9930*f = 9946*f - 294704. What is the thousands digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 31 = -5*g + 3, -5*d = -2*g - 6*d + 25 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2396*y - 65854085 + 65854085. Let a(z) = -z. What is a(c(k))?\nAnswer: 2396*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -890*u + 27586. What is w(31)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -87866, -87869, -87872, -87875, -87878?\n\"Answer: -3*v - 87863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d**4\/6 + 5*d**3\/6 - d**2\/2 + 30*d. Suppose -8*m + 6*m = 8. Determine y(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52 + -21 + -4 + (2 - -17)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -t**6\/15 + 54*t**5\/25 - 43*t**4\/2 + 54*t**3 + 216*t**2\/5 - 864*t\/5 + 84. Find r such that q(r) = 0.\nAnswer: -1, 1, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2, u + 5*t - 520 = 4*u. Let j be (-4)\/(-34) + (-320)\/u. Let q = 34 + -24. Solve j*o = 7*o + q for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/3, 2\/3, 0.01, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 461910*g - 1385680. What is o(3)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -65?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 221 - 46. Let r = q - 184.7. Round r to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 671097 is divided by 2699?\nAnswer: 1745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 11696.2351 to the nearest ten.\nAnswer: 11700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -18523\/113 bigger than 4\/67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.17 (b) 4 (c) -0.2 (d) 91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -239656?\nAnswer: -5\/239656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 + 1536*v - 7. Let j(x) = x**2 - 768*x + 3. Determine 5*j(p) + 2*w(p).\nAnswer: p**2 - 768*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/2 + 450*k.\nAnswer: -k*(k - 900)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 256 - x + x + 4*x.\nAnswer: 4*x - 234","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17114509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8946 by -7.\nAnswer: -1278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-6)*9*140\/15.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -836483 - -836411.0894. Let z = 72 + m. What is z rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-10))\/(14*8\/(-80))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 0 - 0) + 6 + -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ls when two letters picked without replacement from {y: 2, s: 2, l: 1, g: 2, p: 5, x: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -226514*d**6 - 78*d**2 + 49*d + 5 wrt d?\nAnswer: -27181680*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.072 or 2\/95?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3*(-8)\/24)\/((-1)\/(-206))?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1463.\nAnswer: 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0 + 20 = -x, 3*x + 4 = -2*d. Suppose 4*n = d*q + 24, 3*q = -q - 16. Solve -5*z = -w + 9 + 4, n*w = z - 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 36 = 2*a. Calculate the smallest common multiple of a and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, v: 2, f: 3}. Give prob of sequence vp.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 103 + 33 - 32*m + 29 - 181 as f + x*m and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o - 16. Determine g(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -3*f - 44. Let z = -1 + 0. Let k be (-28)\/z*(f - 9). What is the greatest common factor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 15. Which is the closest to 2? (a) -2\/7 (b) -5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.065 - 3.065. Let r = 3295 + -3291. What is the closest to 0.1 in o, r, 1\/4, -1\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/302*132\/(-48). Let d = 17653\/9060 - q. Calculate the common denominator of 65\/129 and d.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/8*(1 - -1). Suppose -47*r + 1202 - 1343 = 0. Sort 4, -4, r, d in descending order.\nAnswer: 4, d, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 f, and 1 w when three letters picked without replacement from pdwwpfcfa?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2002010222 (base 3) to base 7\nAnswer: 230222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1332*n - 1370*n - 1368*n + 4055*n.\nAnswer: -15*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -310022*v**5 + 4091*v - 38.\nAnswer: -6200440*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n + 3. Give q(-19).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -86843\/12876 < -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/6)\/((-1)\/15). Let t(r) = -r**2 - 10*r - 1. Does 12 divide t(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**2\/2 + 95*d - 1281\/2 = 0. Calculate d.\nAnswer: 7, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mzm when three letters picked without replacement from zmzzzzzzzzmzz.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 2*x + 1. Let m = x + 9. Let i(d) = d**3 - 5*d**2 - 2*d + 7. Let a be i(5). Sort m, a, 2 in decreasing order.\nAnswer: 2, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*u - 5 = 0, 5*l - 1 = -4*u + 3*u. Let n be -2 - l - 8\/(-2). Let s(w) = -4*w - 1 + n + 1. Give s(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 5135?\nAnswer: 41080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*2\/(-6) + 1. Let r = 17 + -15. Are r and v unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 465231, 931972, 1398711, 1865448, 2332183, 2798916?\nAnswer: 3265647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/20959, -5 in decreasing order.\nAnswer: 4, 2\/20959, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 390.14 - 497.642. Let u = r + 108. Let w = u - 0.5. Round w to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r*r**2\/r)*r**(-9))\/(r*(r\/(r*r*r**(-2\/3)))\/r*r*r**(-6\/11)*r) assuming r is positive.\nAnswer: r**(-334\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30400)\/400*(40 + -39).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-1 + (7 - (-3 - -8))). List the prime factors of 1216 - (6\/x + 6).\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13161314.9 to the nearest 100000.\nAnswer: -13200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 6 - (-1719)\/(-189)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkr when three letters picked without replacement from rkk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1019 divide 1015131578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 325237 + -561957. Round r to the nearest ten thousand.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -914, -915, -916, -917?\n\"Answer: -g - 913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 9 + 75 = 0. What is the remainder when n is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 5*y + 70, -3*l + 0*y - 5*y = -230. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106228833 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 166578*i**2. Let b(r) = -348*r. Determine b(p(w)).\nAnswer: -57969144*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of k**7\/1365 + 7*k**6\/390 + 61*k**5\/390 + 7*k**4\/13 + 12*k**3\/13 - 48*k**2. Factor g(l).\nAnswer: 2*(l + 1)**2*(l + 6)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19928097 is divided by 2491010?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**3 + 186*c**2 - 1373*c + 1142. Give j(85).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + (-14126)\/(-42))*-54183. Round n to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 46865\/(-195)*6\/(-7). Which is greater: j or 829\/4?\nAnswer: 829\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39398 is divided by 99?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2 - 6*q + 3. Let l be i(-6). Suppose -3 = -f + 3*f + z, -5*f - 8 = 2*z. Let n be -1 + l\/48*f. Which is the nearest to 0? (a) 0 (b) n (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -933325, -3733310, -8399949, -14933242?\n\"Answer: -933327*q**2 - 4*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3526 - 11056. Are -7529 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + u + 5*u)*(-2 - 4 + 4)*(2 - 2*u**3 - 2).\nAnswer: 16*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-4\/17)\/d**19 assuming d is positive.\nAnswer: d**(-327\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*x - 5*z, -2*x + z = -3*x - 3. Suppose -5*j + 3*d + 53 = -j, j - x*d = 17. Solve h - j = 4*v, 0*h + 3*h = 2*v + 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-36)*(828\/56)\/(-23)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -8*x. Let n(j) = -627*j + 313*j + 8*j**2 + 314*j + 6*j**2. Determine n(o(a)).\nAnswer: 896*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express v**3 - 3*v**4 - 4*v**3 + 3 - 91*v + 5*v**4 + 90*v - v**2 as g + l*v + s*v**3 + h*v**4 + j*v**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 22 = -7, 5*k + 5*v - 40 = 0. Let d be 5\/20 - k\/(-4). Suppose c - i - 77 = 0, 0 = -3*i + d + 3. What are the prime factors of c?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 141 + -74. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-147)\/69 - -2) + (-38780)\/44597)*149?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 4 + 8*f**2 - 7.\nAnswer: 8*f**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3*((1*(sqrt(80) + -1*sqrt(80) - sqrt(80)) + sqrt(80)*1 + -1)**2 + (0 + sqrt(80))*2 + 5) + 3)*3.\nAnswer: 63 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11859*g**2 - 22975*g**2 - 18167*g**2.\nAnswer: -29283*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 41 (c) -0.6 (d) 1\/6 (e) 0.1 (f) 26354\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(4 + -5))\/(-1). Let i be (-10)\/(-2) - n*5\/(-10). Solve 0*v = i*v + 2*m - 28, -11 = v - 4*m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o + 1. Let h be q(-2). Let j be h - (3 - 3) - 2. Find the second derivative of -4*p + j*p - 3*p + 2*p**3 + 2*p wrt p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (168\/2)\/(-2 + 1). Suppose 757 = 4*p + 89. Let t = c + p. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -69 + 41?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 14*l + 3. Let z(x) = 5*x + 1. Let t(f) = -4*v(f) + 11*z(f). Let p be ((-4)\/6)\/((-13)\/(-117)). Give t(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (1 - (-2)\/5). Let i = -17835 + 17837. What is the nearest to i in 101, 4, b, 2\/9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37.1 + -37. Sort -0.5, j, -28 in decreasing order.\nAnswer: j, -0.5, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjyossjosokoujukjj. Give prob of picking 1 j and 1 y.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*l + 7 = -30*l. Let w be (-26)\/l + (-6 - (-44)\/7). Suppose w*u - 3878 = 1966. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10054)\/(-33) - (5 + 0). Let p = 1841\/6 - u. Find the common denominator of p and 37\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/9648 and 133\/61680?\nAnswer: 12397680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -7. Let j be (-6)\/(z - (2 - 2)). Find the third derivative of c - c**2 - c - 2*c**2 + j*c**3 wrt c.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 82159 and 77924.\nAnswer: 7558628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -663*x + 1212*x - 6599 - 7378*x wrt x?\nAnswer: -6829","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 17*o**2 - 17*o - 15. Let h be n(18). Suppose -18 + 4 = -2*w - 2*p, -5*w + 27 = h*p. Suppose r - w*b - 32 = -4*r, -4*r = 5*b + 4. Sort 5, 3, r.\nAnswer: 3, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -152540 + -0.01093171?\nAnswer: -152540.01093171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 15*k**2 + 4. Suppose -p + 13 = -3*x, 26*p - 27*p - 4*x - 8 = 0. Let y(z) = 14*z**2 + 5. Determine p*y(q) - 5*f(q).\nAnswer: -19*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 52867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**3 + 23*g + 21*g + 14*g**4 - 2 + 27*g + 27*g - 3*g**2 - 96*g as t*g**2 + n*g**3 + d*g + w + p*g**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7*27\/(-315) + (-2954)\/(-4290) and -125\/18.\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 106 - 74. Let c = -14 + z. Let t = -15 - -54. Calculate the smallest common multiple of t and c.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 84757221 or 423786107\/5?\nAnswer: 423786107\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6}. Give prob of picking 4 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 5:31 PM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 o when three letters picked without replacement from {d: 5, o: 9}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 + 9.07579755.\nAnswer: 29.07579755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 0 - 4\/3*h + 2\/3*h**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/100)\/(2\/((-20)\/6))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 11144.1779?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 120 - 176. Let x = -84 - p. Let i = 32 + x. Let v(q) = -q. Let m(u) = -8*u - 1. Calculate i*v(s) - m(s).\nAnswer: 4*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-376)\/760 + (-2)\/19\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2 - 3*m**2 + 4*m**2. Let j(t) = -29*t**2 + 17*t**2 - 3*t**2 - 16*t**2. Calculate c(j(o)).\nAnswer: -961*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 11, 4, 57, -3 in increasing order.\nAnswer: -3, 4, 11, 25, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 13*w - 19. Calculate y(-13).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 5*a - 24 = 0, -2*v + 5*v - 4*a = 18. Let w = v + -9. Let p = 5 + w. Solve 6 = -4*b - p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8920484 is divided by 1146?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cn when two letters picked without replacement from cpccoodnnn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -405601080 divided by -16900045.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-15)*(-9)\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/451)\/(-2*3\/(-12)*(-44)\/(-66)).\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 3:41 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5141239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54 + 12. What is the common denominator of 51*((-267)\/k - -4) and 97\/36?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -28, 73, 246, 491, 808?\n\"Answer: 36*z**2 - 7*z - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(242)*1 + 2 + sqrt(242)))**2*1*3.\nAnswer: 2376*sqrt(2) + 26244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 38.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 278*s + 9*s - 3 - 2)*(-4 + 2*s + 4)*(11*s**2 - 9*s**2 - 9*s**2).\nAnswer: 3766*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3226, 1 in descending order.\nAnswer: 5, 1, -3226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 142237093 to the power of 1\/3, to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -626154 >= -626173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 97472 or -409?\nAnswer: -409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 99730.5 hours in seconds?\nAnswer: 359029800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/1734 and -11\/18?\nAnswer: 5202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1085*c**3 - 674 wrt c?\nAnswer: 3255*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2 - 4*q - 2. Let z(u) = -5*u**2 + 1. Let j(w) = -9*w**2 + 2. Let l(g) = -4*j(g) + 7*z(g). What is -2*l(y) + v(y)?\nAnswer: y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s\/s**(-3\/4)*s*s))**(4\/9)*(((s*s**(1\/4)\/s)\/s)\/s)\/(s\/(s\/(s*s**11*s))))**50 assuming s is positive.\nAnswer: s**(-4925\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 82321\/43 or 1913?\nAnswer: 82321\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -10*t**2 + 24*t + 45. Determine g(-2).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4 = n, -5*n - 2*q + 23 - 3 = 0. Solve -5*y - 25 = -n*w - 0*y, 2*w - 3*y = 13 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91341 and 507.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 0 - (-28)\/4 - -2061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 3*x**2 + 5*x - 4. Let u be b(5). Let j = 72 - u. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2429 + 2439. Let k(c) = c - 8. What is k(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 0*c + 0 - 3\/2*c**2 + 1\/2*c**3 = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7204 - -7218. Solve 0 = -4*i + 20, 5*i = -3*c + 27 - v for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(1\/21)))\/(b\/b**(-27))*b**18*b**(-16) assuming b is positive.\nAnswer: b**(-545\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 51. Calculate the least common multiple of 21 and j.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h - 4. Let f be q(10). Suppose v + 880 = f*v. What is the highest common divisor of v and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 574792?\nAnswer: 2, 71849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-33))\/(92\/9). Let h = 21999\/2024 + o. Let t = 1819 - 7209\/4. Find the common denominator of h and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.008374 + -0.0524.\nAnswer: -0.044026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 358 = 3*s - 146. What is the greatest common factor of 12 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -56*f. Let n(d) = 0*d + 0*d - 2242*d**2 + 2241*d**2. What is x(n(p))?\nAnswer: 56*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**2 - 23*j - 35*j**2 + 7*j**2 - 11*j**2 + 32*j**2.\nAnswer: -3*j**2 - 23*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2443.019 - 2442. Let q = h - 0.019. What is the third biggest value in -4, 3\/2, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5098, 3954, -9670, -42014, -99318, -187822, -313766, -483390?\nAnswer: -702934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f - 23*f - 1920. Let z = 244 + f. Let p be (1 + 0)*-4*(-29)\/z. Solve -p = x + 3*d, -2*d - 3*d = -4*x + 30 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 12*q**2 + 16*q - 3. Let v be m(-6). Suppose 0 = -128*f + v*f + 143. Solve -15*z = -2*z - f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**3\/15 + 21*r**2\/10 - 22. Factor i(u).\nAnswer: u*(u + 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11189109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-6))\/(6\/(-45)). Solve 3*d + 4 = p*c, 11 = -0*c + 4*c - 5*d for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 62, 248, 724, 1634, 3122, 5332, 8408, 12494?\n\"Answer: 24*z**3 + z**2 + 15*z + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**3\/13 - 4*a**2\/13 + 18*a\/13 + 36\/13 = 0.\nAnswer: -3, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/1408 and -151\/5376.\nAnswer: 59136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0877891 rounded to four dps?\nAnswer: -0.0878","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 57245 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -1 - 1)\/(11 + -8). Put r, -4, -24 in descending order.\nAnswer: r, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -10, -4, -46 in descending order.\nAnswer: 4, -4, -5, -10, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 + -40. Solve -2 = -5*l - r, 3*l = 5*u + 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q + 3. Suppose -t = 4*t - 30. Let x be (-4)\/(-14) - t\/21. What is the units digit of j(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n\/(n*n\/(n\/(n\/(n**14\/n)))))\/n)*n**0)**(20\/11) assuming n is positive.\nAnswer: n**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/95 and 29\/1295287.\nAnswer: 6476435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a - 8*a + 2*s - 304 = 0, 3*s = -a + 81. Let g = 224 + -140. Let n = g - a. Calculate the lowest common multiple of n and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1*(sqrt(7) + 3 + sqrt(56)\/sqrt(8) + sqrt(7) + sqrt(7)))**2.\nAnswer: -726 - 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -5, -4, -53 in increasing order.\nAnswer: -53, -5, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -13\/1328?\nAnswer: -13\/1328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16544 - -4481. Is r a multiple of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = c - 5, 1435 = 3*o - 4*c. Suppose 0*z + 465 = 3*z + 3*b, 3*z - o = b. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1846 divided by 142?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1782) + sqrt(22))\/(sqrt(18)*5)*-3 - ((-2*sqrt(11)*3 - (sqrt(176)*-6 + sqrt(11)))*1)**2.\nAnswer: -3179 - 19*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 17187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17759 or -17690?\nAnswer: -17759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.075 (b) -3\/7 (c) 0.4 (d) 1 (e) -0.01398\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 508 a factor of 228073634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of c**3\/3 + 3*c**2\/2 - c + 7. Let t be x(1). Let v be 1*(-4)\/(-2 + 0). Is v equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 2 + (-1015872)\/(-48256).\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/9*o + 0 + 10\/9*o**2 - 2\/9*o**4 - 2\/9*o**5 + 2\/3*o**3.\nAnswer: -2*o*(o - 2)*(o + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 91 - 80 = 4*v, -d + 28 = 5*v for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*u**4 - u**2 + u - 71*u**4 + 149*u**4 + u in the form y*u**4 + s*u**2 + t*u**3 + f*u + p and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 996 + 1799 = 48*p - 263*p for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f - f**2 + 27*f**2 + 6 + 120*f**2 - 6.\nAnswer: 146*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1717*t - 22 - 1715*t - 21.\nAnswer: 2*t - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 - 9 - (-3 + -4). Solve -s + a*t = -8, 3 = -5*t + 2*t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c**2 - 365*c + 122. Let w be k(-122). Determine y so that -9\/7*y**5 + 0*y**2 - 2\/7*y**3 + 0*y - 11\/7*y**4 + w = 0.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -85 (b) 6\/11 (c) 2\/3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(-7)*n)**(-18\/5)*(n\/(n**(-5)*n)*n)**(-2\/17) assuming n is positive.\nAnswer: n**(-624\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 7 - 83 = 0. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -134 + 133*p**2 - 265*p**2 + 133*p**2 in the form i + h*p + t*p**2 and give i.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 - -228. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - 8*d + 19*d)*(-22*d**2 - 2*d + 238*d**2 + 43*d**2 + 3*d - d).\nAnswer: 2072*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15994860 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 22*a - 114. Determine c(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, f: 4, j: 1}. What is prob of sequence oo?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 9*b + 16. Give g(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 9*v - 118. Let b be l(31). Let x = 164 - b. Calculate the remainder when 13 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11d9 (base 15) in base 8?\nAnswer: 7334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4205 + 248?\nAnswer: 4454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y + 17. Suppose 4*h - 30 = 2*h + 4*g, 2*g = -4*h + 70. Let o be m(h). Solve -4*z + z - 15 = o for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143131 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 11:20 PM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -3*l + 24, -5*l + 2*m - 9505 + 9536 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**4\/8 - 3*k**2. Let w(j) = j**2. What is w(o(b))?\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 4. Let s = v - -5. Suppose -703 = -208*c + 126 + 3. What is the fourth smallest value in 2\/9, c, -0.3, s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000153 to 5 decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 10*z - 150. Let n = -38 + 68. Calculate the least common multiple of n and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6801 + -6802. Let s be 4\/6 + 8\/(-18). Suppose 4*z + 4*q = -8, 3*z - 9 - 20 = 4*q. Which is the closest to n? (a) s (b) 4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 7:42 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 26 = 4*y - 0*v, -3*y - 13 = -5*v. Suppose 205 = d - 4*g, -3*d - y*g + 3*g + 654 = 0. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**8*h\/(h*h*h**(-2\/7)))**11*((h*h**(1\/4))**(-36))**40 assuming h is positive.\nAnswer: h**(-12039\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12758805.\nAnswer: 3, 5, 281, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 396682480 to the nearest integer?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (3240\/648)\/((-5)\/22)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -58382, -3\/4, 0, 133.5?\nAnswer: 133.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41\/(-4674) + (-27)\/171.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**5\/20 + u**4\/4 - 13*u**3\/6 - 23*u**2 - 2592*u. Calculate d(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 4*u**2 + 2. Let c be v(-4). Let t = -178 + 542\/3. Find l such that 2\/3*l**3 - t*l**c + 10\/3*l - 4\/3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 4, 190488, -3.\nAnswer: -4, -3, 4, 5, 190488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 420 and 756.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 - 27. Suppose h = z + 3*z. Suppose -z*w = -8*w + 30. Calculate the lowest common multiple of 22 and w.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 345.\nAnswer: 1\/345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z + 25. Let m(q) = -4*q + 28. Let h(k) = -3*a(k) + 2*m(k). Calculate h(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 75 = -21*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 17 - 3 = 0. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-3))\/((-36)\/(-4)). Let c = 94\/189 + a. Let j be (1 + -2 + 1)\/1. Is j smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00056207 rounded to 5 decimal places?\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 55467680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-6) + 52\/6. Let w(t) = -t**2 - 73*t - 576. Let m be w(-64). Solve -z - z + h = m for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16611947 is divided by 374?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.7350697 rounded to three dps?\nAnswer: -21.735","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 20*z**2 + 4*z - 19. Let s(c) = -2*c**2. Calculate 6*s(q) + w(q).\nAnswer: 8*q**2 + 4*q - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 18 = 3*s, 3*s + 414*m = 409*m + 7. Suppose 4\/5*k**s - 4\/5*k + 0 - 4\/5*k**2 + 4\/5*k**3 = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*r = 3*b + 45*r + 381, 4*b - 5*r - 164 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r + 2*r + 28 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 268162 to the power of 1\/2, to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-4))\/(93\/24).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 2\/7, -1\/4, -0.6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74628 and 3780.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16574 plus 1161?\nAnswer: 17735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/5)*u*u*u\/(u*u**(-1\/4)*u)*u)\/((u\/(u\/(u\/u**5*u)))\/(u\/u**7))*((u**2)**(4\/7))**(1\/14) assuming u is positive.\nAnswer: u**(-1243\/980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 8:22 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5351404 is divided by 7516?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g - 12. Let t be f(7). Suppose 2*p - t*j - 228 = 0, 4*p - 2*p = -j + 231. What is the remainder when p is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*g = 18 - 4, -2*x = 3*g + 1. What are the prime factors of 3\/x*(-288)\/27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-38)*(188 + 0). Let i = p + -669\/38. What is the common denominator of -69\/8 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 - o**2 + (-o + 0*o + 0*o)*(-2*o - o + 5*o) - 42*o + 9*o**2 + 42*o in the form f + i*o + w*o**2 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4900? (a) 0.4 (b) 9 (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 6*l - 2*l. Let d be -12503 - (7 + -4 - 11). Let n be (-1572)\/d - (108\/51 + -2). Is l smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 151 - 81. Suppose -t - 18 = -4*v. Suppose 4*n = -k + 39, -v = -n + k - 6. Which is bigger: -1\/3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 0.0721 (c) 6\/7 (d) 2 (e) 3\/5 (f) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a**4 - 1275*a**3 + 407043*a**2 - 405769*a = 0. Calculate a.\nAnswer: 0, 1, 637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.553 + -0.513. Which is the second biggest value? (a) -0.5 (b) 33 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.5378 times 18\nAnswer: 27.6804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 428720000 rounded to the nearest one million?\nAnswer: 429000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of z**6\/21 - 6*z**5\/35 + 3*z**4\/14 - 2*z**3\/21 + 2. Factor f(l).\nAnswer: 2*l**2*(l - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135734036?\nAnswer: 2, 29, 157, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (13\/3)\/((-5)\/(-15)). Let f = 355 + -212. What is the highest common factor of d and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6618475847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, u: 4, e: 1, l: 4, r: 1, j: 2}. What is prob of sequence uraa?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -1.1. Let p = 1 + s. Let n(o) = o**3 - 2*o**2 - 4*o + 1. Let z be n(3). What is the closest to -0.1 in -3\/2, p, z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 683\/2031 - 2\/677. What is the fourth biggest value in g, 15, 5, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(156\/9945*34)\/(4\/95)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 5:53 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 3*j**5\/20 - j**4\/4 - j**3\/2 + 3*j**2\/2 - 15*j. Factor h(b).\nAnswer: 3*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 5*m + 3*r + 8, m - 4*r = -16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67 and 17286.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36 + y**3 - y**4 + 3*y - y**3 - 4*y - 51 wrt y.\nAnswer: -4*y**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t + 56. Let c be m(24). Suppose 3*z + 4*d = 13, 0 = 5*z - c*z + 3*d + 6. Solve -5 = 4*f - z*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -7155802?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 127041273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2220 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*l - 4 = 241*l + v, -5*v - 3 = -2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*r - b + 136, -r - 28 = -b. Let h = r + 47. List the prime factors of h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*n = -30, 5*n = 5*d - 18 - 7. Suppose 3*p - 10*p + 315 = 0. Calculate the greatest common divisor of p and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (5 + 3 + 2 + -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/5 - 18*j\/5 + 16\/5.\nAnswer: 2*(j - 8)*(j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.277 + -0.893. What is q rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14010 (base 5) in base 6?\nAnswer: 5122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*x**2 - 2*x + x**2 + 2*x.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, a: 8}. Give prob of picking 4 a.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wt when two letters picked without replacement from tqtaqttqqqpqqqwww.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-5) + -6)\/(-2 - -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32329072.69 rounded to the nearest one million?\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - m + (4*m - 2*m - 4*m)*(5 - 1 - 2) + m - 3*m + 0*m - 1302*m + 471*m - 951*m - 527*m - 27*m.\nAnswer: -2343*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**2 - 4*g**2 + g**2 + 0*g**2 + 0*g**2 + 2*g**2 + (g**2 + g**2 - 4*g**2)*(1 + 0 - 3) - 73921 + 2391*g**2 + 73921.\nAnswer: 2395*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*n + n, 0 = -5*h + 5*n + 475. Let d be (h\/6)\/(1\/6). Suppose 3*f - d = -f. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -3*b + 33714 - 33722, -b - 5*z = -20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -128.8291013 rounded to 2 decimal places?\nAnswer: -128.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1209 and 8339.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1364?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/264 and 49\/6.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.9 and 73.\nAnswer: 284.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q - 432 = -1216. Calculate the greatest common factor of 84 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/13 + 648896*c**3\/13 + 70188265236*c**2\/13 + 2532181006409840*c\/13 + 123908423619686426\/13.\nAnswer: 2*(c + 49)*(c + 108133)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 76*w - 73*w + 240. Let n = 88 + w. What is the first derivative of 0*g - 37*g - 9*g + n wrt g?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bfobnoncoonnnf. Give prob of picking 2 b.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10101000 (base 3) to base 16\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight thirds of a week?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -333677\/210 + 1589. Let z(g) be the third derivative of 0*g + 0 + 5\/336*g**8 - 8*g**2 + 1\/30*g**6 + 0*g**3 + 1\/15*g**5 - j*g**7 + 0*g**4. Factor z(t).\nAnswer: t**2*(t - 2)*(t - 1)*(5*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4436368 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 2*o**2 + 32*o - 123. What are the prime factors of d(16)?\nAnswer: 29, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356\/7 less than -5.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16539 + 16647. Calculate the smallest common multiple of h and 4.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.01 - -0.01. Let o = -40 + 39.76. Let n = -0.76 + o. Which is the closest to n? (a) m (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*d - 5 = 0. Let v = 1 + -1.2. What is the third smallest value in 1\/5, d, v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**5\/6 + 17*t**4\/2 + 161*t**3 + 4018*t**2\/3 + 4116*t.\nAnswer: t*(t + 9)*(t + 14)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 12*s**2 - 3*s + 2. Let i be u(1). Suppose -16*w + i*w + 490 = 0. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m = 120 - 888. Suppose -m + 54 = -6*f. Is -1\/10 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4313.6 * 0.13.\nAnswer: -560.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 8*f - 28. Suppose 30*z = 32*z - f. What is the remainder when 21 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -139 + o - 143 + 282 - 5*o**2. Let z(v) = 14*v**2 - 3*v - 1. Calculate -17*m(u) - 6*z(u).\nAnswer: u**2 + u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d + 1. Let n(r) = -5*r**2 - 4*r - 4. Let v(u) = -n(u) - 5*y(u). Let l(b) = b**2 - 3*b - 6. What is the remainder when v(2) is divided by l(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l + 16*l = -492. Suppose 0 = -17*h + 12*h - 10, 3*h + l = 3*v. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 19562\/(-4)*(32281 + 9). Let t = j + 383889522954\/2431. Let c = -1\/221 - t. What is the common denominator of 47\/6 and c?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2 = -12. Suppose 0 = -4*v + 3*n + 49, 5*v - 45 = 2*v + c*n. Suppose -l + 10 + 8 = 0. What is the remainder when l is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122254 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*g, 22 = -5*p + 2*g - 26. Calculate the remainder when 46 is divided by 9\/(-2)*p\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*i - 38*i**2 - 2*i**3 - 34*i + 16*i.\nAnswer: -2*i**3 - 38*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*l - 14840 = 18*l - 27*l + 146*l for l.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) + (sqrt(3744)*-2 - sqrt(3744)) - -2*-2*sqrt(26))\/(-3*sqrt(128)*-1).\nAnswer: -13*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39511*g**2*l + 94*g**2 - 23*g - 1 with respect to l.\nAnswer: 39511*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 757136041?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 16. Let x(l) = 4*l**2 - l + 4. Let c be x(r). Suppose 0 = 5*s + 25, -2*w = -6*w + 3*s + c. Calculate the remainder when w is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 6. Suppose 7*v - 552 = c*v. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 12:55 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-22)*(26\/39)\/(1\/(-1)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9702240 divided by -40.\nAnswer: 242556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*c = 20 - 24 + 4. Let u(a) be the second derivative of 11\/12*a**4 + c*a**2 + 0*a**3 - 23*a + 0. Let z(r) = r**2. What is u(z(j))?\nAnswer: 11*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 541 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-30))\/(4\/(-10))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, a: 3, m: 3, y: 5}. Give prob of sequence yv.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -10, -5, 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1280768297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1930062 by 3.\nAnswer: -643354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21146888, -42293799, -63440710?\nAnswer: -84587621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1867108 is divided by 12973.\nAnswer: 11969","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 9*a + 12. Let y be z(8). Let p = -2 + y. What is the third derivative of -2*g**2 - g**2 + 0*g**3 - g**3 + 4*g**p wrt g?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*39\/(-13)*-3*(-9)\/(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268017 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of 13\/3*w**3 - 23*w**2 + 0 - 1\/24*w**4 + 0*w. Let k be j(25). Which is smaller: k or 2\/103?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2396140\/211 or 11357?\nAnswer: 11357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180153 and 999.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.2, -6\/1537, 3, -193, -1 in increasing order.\nAnswer: -193, -1, -0.2, -6\/1537, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*(l\/(l\/((l\/(l**(-1)\/l*l))\/l)))\/l)\/l)**(-29)*l**(-4\/3)*l**(1\/11) assuming l is positive.\nAnswer: l**(-998\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -81 + -73?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48.83 - -0.17. Let k = m + -53. Let o be 2\/72 - 4\/(-18). What is the closest to 0 in o, 2\/3, k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3\/4 - 1377*u**2 + 13713*u - 32868.\nAnswer: 3*(u - 1826)*(u - 6)*(u - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**3 + 250 + 249 - 164 + 241 - 6*u**3 - 576.\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n + 3*n - 2*n)*(n**3 + 0*n**3 + 2*n**3) + (-2*n + n + 2*n)*(-n**3 + n**3 + n**3) to the form l*n**3 + m + a*n**2 + u*n**4 + i*n and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from yyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -28265, -54617, -80981, -107363, -133769, -160205, -186677, -213191?\n\"Answer: -c**3 - 26345*c - 1919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 7:44 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110001111001101001 + -101?\nAnswer: -1110001111001101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11127, 19825, 28515, 37197, 45871, 54537?\nAnswer: 63195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3149 to two decimal places.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (440\/45)\/(572\/1287).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t**2 - 3*t**2 - 3*t**2)*(-202 + 142 - 229).\nAnswer: 289*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*3*sqrt(99)*5)\/((sqrt(576) + sqrt(576)*4)*-4))**2.\nAnswer: 99\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 22 + 3)*(4*s + s - 3*s)*(-2*s**2 + 8*s**2 - 5*s**2) to n*s**3 + j*s + g + c*s**2 and give n.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 49\/44 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2345873?\nAnswer: 19, 311, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 6*p + 2*p)*(2102*p + 2235*p + 2066*p + 5699*p) + 3*p**2 + p**2 - 3*p**2.\nAnswer: -24203*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*q + 10*m = -92*q + 34, 0 = -0*q - 3*q + 4*m - 3*m + 43 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3221584651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(57)\/(-1*sqrt(27)) - (0 + sqrt(1539)*1 - sqrt(1539))**2).\nAnswer: -5 - sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y - y + 2*y)*(-2*y - 2 + 2) - 3*y**2 + 0*y**2 + 0*y**2 + (-2*y + 5*y - y)*(0*y - 6*y + 5*y) + 14*y**2 + 0*y + 0*y to h*y + v + s*y**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + 2366613?\nAnswer: 2366612.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 382021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -3966?\nAnswer: -3969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 188022, 188205, 188388, 188571, 188754?\nAnswer: 188937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -936*n**3 - 5621*n**3 + 1614*n**3.\nAnswer: -4943*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 374 and 12?\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 2. What are the prime factors of v(-11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v + 9*v - 8*v + 3*v to the form y*v + m and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -73*b**6 - 782621*b**3 - 104967828*b**2 wrt b.\nAnswer: -8760*b**3 - 4695726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 963 is divided by 237?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 5*b**3 - 5*b**2 - 15*b + 2. Let g(f) = -14*f**3 + 17*f**2 + 42*f - 5. Give 3*g(l) + 8*r(l).\nAnswer: -2*l**3 + 11*l**2 + 6*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmsupuabmaspaa. Give prob of sequence ppas.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 643 is divided by 555.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003867726 to seven dps.\nAnswer: 0.0003868","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -151.34 - -153. Round w to 1 decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -20. Let k(n) be the second derivative of -n**3\/6 + 7*n**2\/2 - 19*n. Let q be k(r). Solve -2*i + 4 + 0 = q for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 5*c - 580, -2*c + 353 = 3*i - 4*c. Suppose -i = -y + 2*d, -5*y + 2*d = -0*d - 553. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 <= -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 87131*v + 697119. Give h(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**3 - 124*z + 71*z - 166*z**4 + 54*z + 1 to the form u*z**2 + a*z**3 + i + y*z**4 + x*z and give y.\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -488, -1 in increasing order.\nAnswer: -488, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 716 divided by -4?\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*g - 27 = 0. Suppose 51 = 2*d + 5*b, -5*b = -35*d + 36*d - 38. Suppose -g*p + 23 = -d. Solve 2*o - p - 6 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nm when two letters picked without replacement from momoonroroxnuxooo?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h**(-7\/3)\/h)*h*h\/(h*h**(-11)\/h))\/(h**(-7\/2)\/(h\/(h\/((h*h*h*h*h*h**(-4\/5)\/h*h*h*h*h)\/h*h))*h)))**(3\/13) assuming h is positive.\nAnswer: h**(901\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 + 2.2. Sort -2, c, 1\/5 in ascending order.\nAnswer: -2, 1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -43, -7, 1 in descending order.\nAnswer: 5, 1, -7, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300)\/sqrt(6))**2 + -5)*-3*1*6.\nAnswer: -810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -566 - 482. Calculate the common denominator of 167\/60 and r\/(-480) + (-10)\/(-25).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d. Let w(x) = x + 2*x - 2*x - 4*x - 5. Let q(f) = f + 2. Let s(c) = 5*q(c) + 2*w(c). Determine m(s(t)).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10577270 and 3410.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/152 and -13\/88.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4\/(-14) - 10845\/(-105)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**2 + 4862*b - 645780 = 0?\nAnswer: 141, 2290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -721 (base 8) to base 5\nAnswer: -3330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35651 to the power of 1\/2, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 23*m - 28. Let a be j(26). Let n = -116 - a. What is the units digit of (-33)\/(-5) - ((-16)\/n + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - u + 6 = 0, -12*w + 2*u - 3*u - 1438 = -1444 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**3 - s**3 - 2*s**3)*(-16*s + 2*s - s).\nAnswer: 30*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 - 62493519107?\nAnswer: -62493519107.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + 210 + 37*l - 210)*((1 - 5 + 6)*(1 + 1 - 7) + 2 - 5 + 6).\nAnswer: -7*l**2 - 259*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-3)\/21*(-74)\/148*-7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -1. Let c(b) = b**3 - 2*b**2 - 2*b + 1. Let h(x) = -c(x) + 5*f(x). Is h(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -1. Suppose 2*g - 22231 + 22219 = 0. Sort k, 4\/5, g, -2 in increasing order.\nAnswer: -2, 4\/5, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*h + 16, -4*h = -4*i + 522 - 506. Let m(f) = 6*f - 2. Let c(r) = 5*r - 2. What is h*c(l) + 6*m(l)?\nAnswer: 11*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(243)*1*-3 + sqrt(243) - (sqrt(243)*-1 + -5)))**2.\nAnswer: -162*sqrt(3) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1950270795 rounded to 5 decimal places?\nAnswer: 0.19503","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 3*h + 2*h + 124, 2*d = -h + 87. Suppose d*f - 10 = 48*f. Is 13 a factor of f\/6*-3 - (-25 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 5:39 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9851837.\nAnswer: 9851837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3*w = -1, -4*i = -3*w - 4 + 2. Suppose 0 = -f - 58 + 8. Let j = -299\/6 - f. Which is bigger: j or i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(25)\/sqrt(5) + (-1*sqrt(5) + -4)**2 + sqrt(100)\/(sqrt(30)\/sqrt(6)).\nAnswer: 21 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -110412181*u - 137642652?\nAnswer: -110412181","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**4 + o**3 - o**3 + (-o + 9*o - 3*o)*(3*o**2 + 3*o**3 - 3*o**2).\nAnswer: 14*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-1\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (652 - 653 - (-17 - 0)) + -21.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-5) + (-34)\/(-90) - (-58)\/18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 7:40 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/3*(-5 + 11). Let n = -8 - -4. Is h <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w + 35. What is the remainder when 149 is divided by i(5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 112.6 and 5?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191, -759, -1677, -2921, -4467, -6291, -8369, -10677?\nAnswer: -13191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*w - 3*r - 183, -4*w - 111101*r - 4 + 71 = -111100*r for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/((-189)\/(-54))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 2*g + 2. Let p be b(3). Suppose -3*k = 12, -2*x - 18 = p*k - 0*k. Let f be (0\/(-1))\/3*(2 - 3). Solve 4*h + x + 3 = f for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3063 a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a - 103*a**4 - 2*a**2 + 0 + 8*a**3 + 105*a**4 + 0*a**3 + 1 in the form r*a**3 + u*a + v + d*a**2 + y*a**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - t**2 + 4 - 6 as l*t**2 + h*t + g and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-86)\/1161)\/((-110)\/(-66)).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100101011101110110 - 101?\nAnswer: 10100101011101110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 m when two letters picked without replacement from mmmkmmmekmmemm.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 40*v**2 + 4*v - 5. Suppose 0 - 2 = -2*p - 2*j, 0 = 5*p + j - 9. What are the prime factors of o(p)?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttpvvvptttttttt. Give prob of picking 1 v and 1 t.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 99*v**4\/4 + 63*v**2 + 128. Find the second derivative of n(o) wrt o.\nAnswer: 594*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 0.12, -6?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6510, -5873, -5236?\nAnswer: -4599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1474970000 to the nearest one million.\nAnswer: -1475000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 6*k + 7. Let x be w(-1). Let y be 6*(x\/16)\/(4\/8). Which is the closest to y? (a) -3\/5 (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 18 = -4*y + 1, -4*a = 2*y - 20 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 62*g*r**3*u - 4693*g*u**2 + 3481*r**3*u**2 - 1130*r*u**2 wrt g.\nAnswer: 62*r**3*u - 4693*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5.382*2\nAnswer: 10.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of y**6\/5 + 4*y**2 - 6*y. Differentiate v(o) wrt o.\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30857579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 - 159. Which is smaller: -97 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-8)\/(-4)*3\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 5 = -3*x. Let w be 17\/3 + x\/(-3). Suppose -13*y**2 + 24*y - 12 - 5*y**w + 17*y**4 - 11*y**3 + 8 - 8*y = 0. Calculate y.\nAnswer: -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -223*a**5 + 2*a**4*w**3 - 14*a**2*w - 5*w**3 + 2*w wrt a.\nAnswer: -13380*a**2 + 48*a*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00381107338 to 5 dps.\nAnswer: 0.00381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**4\/12 + 5*f**3\/6 - 7*f**2\/2 + 468*f. Determine k(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3370000 rounded to the nearest 100000?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 119015125 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*t + 7. Let v be -11 + 9 + 9300002\/t. What is v rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 53811142 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 908 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(114)\/sqrt(6)*1.\nAnswer: 4 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -359854, -359937, -360020, -360103, -360186, -360269?\n\"Answer: -83*s - 359771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -116 + 53. Which is smaller: h or -64?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 * 791207.\nAnswer: 87032.77","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 6. Let s = j + -3. Put 2, -1\/3, s in increasing order.\nAnswer: s, -1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22\/5 - 139\/35. Let s = -2 - -1. Let j be 20\/15*(-3)\/(-2). Which is the biggest value? (a) j (b) t (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0099 + -365163234.\nAnswer: -365163234.0099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 - 23. Suppose -2*x + 5*o + 110 = 0, -8*x - b*o + 213 = -3*x. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -4\/25*p**5 + 2\/5*p**2 - 1\/5*p**4 + 0*p + 4\/15*p**3 + 11. Suppose i(v) = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 5*c**2 - c - 8. Suppose 0 = 2*p - 5*s - 17, 0 = p + 5*s + 7 + 22. What is the remainder when d(p) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2456 + 669. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -101462, -405954, -913420, -1623860?\n\"Answer: -101487*h**2 - 31*h + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -682056540 divided by 7095\nAnswer: -96132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*z - 3 = 0. Let m(v) be the third derivative of 0*v + 2*v**2 + 1\/24*v**4 - 1\/3*v**z + 0. What is the derivative of m(a) wrt a?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - w - 5. Let f be v(-4). Suppose 0 = -5*l - f, -l + 6 = -k + 4*k. Solve -k*z - 12 + 3 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -0.113.\nAnswer: -0.0565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/13 (b) 0.3 (c) 0.2 (d) 141299\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 5*i = -11 - 14, 15 = -3*j - 2*i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 311 = -2*n - 110, 3*q + 117 = n. What is the derivative of -91 + n - 14*g**4 - 213 + 4*g**3 wrt g?\nAnswer: -56*g**3 + 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 342*n**2 + 20781*n + 1065. What is x(-263)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000206323734 rounded to 6 dps?\nAnswer: 0.000206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7544087 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 30641015.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*h - 249 - 453. Calculate the remainder when 161 is divided by h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**1)**(-21\/5))**(4\/15)\/(((d*d**6)\/d)\/d*d**(-1\/6))**(-2\/71) assuming d is positive.\nAnswer: d**(-11203\/5325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 5, 4, -2 in decreasing order.\nAnswer: 7, 5, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*l**2 + 101 - 101 to the form m*l**2 + p*l + i and give m.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((2*sqrt(152)*2)\/(sqrt(800)*2)*6 + -2 + 1)*-3*5.\nAnswer: -36*sqrt(19) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -2. Suppose n - l - 7 = 0, l + j*l - 55 = -4*n. Let z(d) = -d + 3. Let y be z(-3). Solve -t + n = -y*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n - 15*n + 29*n - 3 - n**2. Let a be o(8). Let v = a - -4. Calculate the highest common divisor of v and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 661774717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3*(-1*sqrt(224))\/sqrt(7) + 4*sqrt(3872)*6)**2.\nAnswer: 2281246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13478531 or 13478533?\nAnswer: 13478531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -438960980 less than -438960980?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -8*v**2. Let r(n) = 951*n**2. What is k(r(z))?\nAnswer: -7235208*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -14*c + 402. What is the remainder when l(14) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4730443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-4)*s)\/s**(1\/3))**14\/((s**(-2\/21)\/s**(-1))\/((s*s\/(s*s\/(s\/s**(-8\/5)*s*s*s))*s*s*s)\/(s\/s**(-1)))) assuming s is positive.\nAnswer: s**(-1434\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 2:34 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5 + 2*u**2 + 2*u**2 - 1. Suppose -1777 + 1945 = -28*m. Let q(c) = 4*c**2 - 5. Determine m*q(d) + 5*g(d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.22 - 5.18. Let u = 5 + c. Let p be (-5)\/(10\/(-4)) - 12\/10. Put p, u, -4 in increasing order.\nAnswer: -4, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187*d - 99 = 184*d. What is the remainder when 228 is divided by d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16\/121 + 6\/121. Let f = -1640\/189 + 1132774\/3213. Let k = -344 + f. Which is the nearest to k? (a) 4 (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28.6 - -28.3. Which is the closest to 4? (a) i (b) 4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 2)*(-208 - 308 - 96)*(2*k**3 + 0*k**3 - k**3 + 2).\nAnswer: -1224*k**3 - 2448","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60625951?\nAnswer: 4447, 13633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -194857 + 288666. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) -6 (c) -2\/9 (d) -147 (e) 0.13 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.16 - -0.212. Let q = -916 - -916.252. Let d = q - c. What is the closest to d in -0.08, 0.1, 2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 110*b**2*h - 6*b**2 - 5*b + 289*h**2 + 32 with respect to h.\nAnswer: 110*b**2 + 578*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 207\/(-30)*50*19\/1425.\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34327412 to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73643943?\nAnswer: 3, 19, 1291999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (1 - 3 - -14)) + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 9, -4*y = 3*a - 15 - 12 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 279702 + 0.025?\nAnswer: 279702.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 240770104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 6\/7, 17.2, -0.1?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-6))\/((-4)\/(-32))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 8:35 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58*h**4*l**3 - 14*h**3*l**3 + 20*h**3*l + h**2*l**3 - 3552*h**2*l + 10*l**3 wrt h?\nAnswer: 1392*h*l**3 - 84*l**3 + 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 11*y**2 - y - 11. Let h be j(11). Let a = h - -22. Suppose -2*q - 4*v = -62, a = 3*q - 0*v + v - 103. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 - 2.04. Let p be (-16)\/24 + 185\/291. Let h = p - -118\/679. Which is the nearest to l? (a) h (b) -5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 4*x. Let m(i) = i + x*i - 3*i. Calculate m(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1008 or 18224?\nAnswer: 18224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 2*s**2 - 5*s + 2. Let c = 45 - 44. Let a be y(c). Solve 0 = -u + 4 - a for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*m - 42*m - 18*m)*(0 + 2 + 0 - m).\nAnswer: 90*m**2 - 180*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -0.4, 4, -36061\/2, -0.2, 3, 1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**5 + 267920*o**4 - 6701010*o**3 + 6165160*o**2 + 6701005*o - 6433080 = 0 for o.\nAnswer: -53609, -1, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 57 = -5*m - 40, -20 = 5*d - 2*m for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/17 (b) 13 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49\/(-10) + 2*4\/(-80)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 236, 1087, 2706, 5093, 8248?\n\"Answer: 384*d**2 - 301*d + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 5*p**2 + 10*p + 9. Let k(n) = -5*n + 4*n**2 - 5*n**2 - n**2 - 4. Let s(w) = 7*k(w) + 3*u(w). Let c = -1940 + 1946. Determine s(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -42*f - 651. Let y be v(-19). Suppose -y*k + 8 = -145*k. Let n be (4\/10)\/((-2)\/(-20)). Solve k*u + t = 3, 2*u - 5 = t + n for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1893519 divided by -9.\nAnswer: -210391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*b = -46*b + 3*u + 24, 3*b + 5*u - 18 = 0. Solve 0 = -3*x - b*x + 36 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16886, 33351, 49804, 66245, 82674?\nAnswer: 99091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099399319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11982551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1572793*c + 456317*c + 1465033*c - 464351*c.\nAnswer: 3029792*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -16\/3*g**2 + 0*g + 32\/3 + 2\/3*g**4 + 0*g**3 = 0. What is g?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1725.9 - 1726.4. Let o = -0.21 + 0.01. Let i = 1.8 - o. What is the third biggest value in s, -6, i?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 6*p + p - 5*p)*(3 + 0 + 5).\nAnswer: 16*p + 112","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11543\/6 + 1924. What is the nearest to -1\/34 in -24\/7, -4, s, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-1 + 13)) + 4 - (-26 + 0)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 0 - 2)*(-4 + 1 + 1) - 7 + 1 - 5)*(-12*j - 88*j + 2*j) to h + f*j and give f.\nAnswer: 686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -12. What is the third biggest value in -6, z, 1\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34203592 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-9) + (-26)\/(-6). Let z = 4 - i. Find the second derivative of -4*l + 4*l**2 + z*l**2 - 4*l**2 + 4*l**3 wrt l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 9*a**2 + 4*a + 11. Let u be w(8). Let o = u - -39. Let j be 3779996\/o - (-6)\/27. Round j to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 2*s + 4. Let w = -174414 + 174418. Let k(j) be the third derivative of j**5\/30 - j**4\/8 + 5*j**3\/6 - j**2. Calculate w*k(g) - 5*t(g).\nAnswer: 3*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 + -7213?\nAnswer: -71b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 173399078 to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 1326.\nAnswer: 6630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*n = 19*n - 3. Which is the fourth smallest value? (a) 2\/5 (b) n (c) 3 (d) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25822033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84508 is divided by 650?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 105589 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16358862 by 37011.\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 159317321 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 99791 at least 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 11*v = 264. Let n be (-819)\/v + (-6)\/(-33). Suppose 24 = -m + n. Calculate the remainder when 2 is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (2 + -4)) + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.047, -0.06, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 73, 5, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -487, 15 in decreasing order.\nAnswer: 15, -10, -487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/(-250))\/((-1764)\/(-35)). Let u = -631\/840 - t. Which is the nearest to -4\/9? (a) u (b) -1\/2 (c) 0.1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 12*p - 20. Suppose 5 = s - 4*s + b, 0 = 5*s - 4*b + p. What are the prime factors of (-142)\/(1 + s - (7 + -4))?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -95 - -35. Suppose -57*p + 62*p = 760. Let f = u + p. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4193 is divided by 467.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 1 = 25. Is 221\/68 - (-1)\/h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 356 + -119. Let h(a) = -a**3 - 3*a**2 - 7*a - 11. Let v be h(-4). Suppose -3*g = v - z. List the prime factors of g.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5, -8, -11, -14, -17?\n\"Answer: -3*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 + s**2 + 0*s**2)*((0*s - 2*s + 4*s)*(-6*s + s + 4*s) - s**2 + s - s - s).\nAnswer: -12*s**4 - 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a. Let s be (-92)\/(-8) - (-3)\/(-2). Suppose -5*g + 10*g = s. Let f(j) = -g*j**2 - 2*j**2 + 0*j**2. Give f(i(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 4954185*k**3 - 4954288*k**3 + k**2 + 1 - 4 - 2.\nAnswer: -103*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 20*s**2 + 11*s + 14. Let d(c) = 8*c**2 + c - 3. Calculate a(m) - d(m).\nAnswer: 12*m**2 + 10*m + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 + 35. Suppose k - 32 = -p*j + 3, -2*k = j - 98. Calculate the remainder when k is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 s when two letters picked without replacement from jjjfjsssssjjjsjjj.\nAnswer: 15\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3 = -2*x + 2*o, -2*o - 6 = 0. Suppose -4*m - m = -25. Suppose -2*b + b + 6 = 3*c, -5*b = m*c - 10. Solve -c*z - z = x for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -752*s - 953*s + 40720 + 41120 for s.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -6*a + 650 - 650. Let t(v) = 15*v. Determine t(c(r)).\nAnswer: -90*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 divided by -5?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = o, -5*k + 5*o = -36 + 6. Let l = 3 + k. Solve l*w - 15 = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 0.00295888842?\nAnswer: -2.00295888842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + 8. Let n = -22.0042 + l. Round n to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67982490 to the power of 1\/2, to the nearest integer?\nAnswer: 8245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-4 + 1 - -1) + -13 + 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11862*o + 11831*o = -62 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r**3 - 20*r**2 + 2*r + 35. Is t(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 66 (b) -11 (c) -161 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*b - 6*b + b)*(-b**2 + b**2 - 2*b**2) + b**3 - 4*b**3 + 4*b**3 + 2*b**3 + 0*b**3 - 3*b**3 to the form v*b**3 + q*b**2 + u + h*b and give v.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1355 - 1352. What is the nearest to 1 in b, -3, 7, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/13*b**3 + 90\/13*b + 24\/13*b**2 + 100\/13 = 0. What is b?\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120433204 - 12121?\nAnswer: -121000330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wc when two letters picked without replacement from {w: 4, l: 7, x: 1, c: 2}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 2:07 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.11 - 30.89. Let j = r + 58.8. Round j to the nearest integer.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-2 + -3 + sqrt(1300) - (2 + -3*sqrt(1300))) + 5)**2 + -5.\nAnswer: -480*sqrt(13) + 20831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1371 - 4715 = 1399*j + 7848 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69557 - -13215869\/190. Let k = 2\/19 - u. Find the common denominator of k and -44\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4253 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2 - 3*v - v + 3*v + 7*v. Let w(t) = 5 - 5 - 3 + 7*t. Determine -5*l(k) + 4*w(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/5)\/(2\/(-110)). Suppose 3*h - 5*h = 0. Suppose h = 2*x - x - 3. Calculate the highest common factor of x and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -887*j - 887*j - 225 + 71 + 1775*j + 2*j**4 - 3*j**2 + 0*j**4 + j**3 to s*j + x*j**3 + g*j**2 + u + m*j**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(152)*4)\/sqrt(8)*4 - (-5 + 1*sqrt(76) + -4).\nAnswer: 9 + 94*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s + 55 = 31*s. Is -1*(s - 867) + -5 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - l - 269 = 0, 0*l - 4*l = 5*z - 679. Let i = z + -70. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 3:10 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*l - 22. Let t(d) = d - 5. Let b be t(-15). Let u be b\/(-165)*(-3)\/2. What is the third smallest value in -0.1, u, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 248794 and 21872.\nAnswer: 1990352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 293677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-20) + 13\/2. Suppose -164 = 119*n + 74. Sort i, -3, n in increasing order.\nAnswer: -3, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206 = y + y. Suppose -3*t + 613 = y. Is 34 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 343637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 i when two letters picked without replacement from {j: 3, m: 3, n: 3, s: 1, i: 1, k: 2}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 3*q - 1. Let i(c) = c - 3 + 4*c + 3. Give i(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.12? (a) -2\/5 (b) -0.23 (c) -1\/2 (d) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*m - 22*m. Let z(k) be the first derivative of 0*k**3 + 4 - 1\/2*k**4 + k + m*k**2. What is the derivative of z(v) wrt v?\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.6 - 0.6. Let u = -0.09 - -1.09. What is the closest to 0.5 in y, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*u**3 + 0*u + 0*u**2 - 4\/3*u**4 - 4\/3*u**5.\nAnswer: -4*u**4*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 181803 and 954?\nAnswer: 173440062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -294, -535, -644, -537, -130, 661, 1920?\n\"Answer: 14*b**3 - 18*b**2 - 285*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -521092.74 rounded to the nearest one hundred?\nAnswer: -521100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9369097 divided by 5.\nAnswer: 9369097\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 18*t**2. Let m(x) be the second derivative of -x**3\/6 - 19*x. Calculate a(m(f)).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 75 = -70. Put 3, 85, v in increasing order.\nAnswer: v, 3, 85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 99 + 2\/3*p**3 - 3*p - 3\/2*p**2. Give h(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1288)\/140)\/23*-10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*p + 2*c - 0*c, 2*c = -6. Suppose -25 = 3*w - 79. Suppose -w = -4*k + 34. Calculate the remainder when k is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, 4, 1\/2, -10 in descending order.\nAnswer: 4, 1\/2, -4\/9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 6*j**2 - j - 1. Let q be o(1). Let f be 5\/((3 + 1)\/q). Suppose 0 = h + 3*m - 10, 0*m = f*m - 15. Are h and 1\/6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r + 4*r - 3*r)*(-16 + 3 - 1).\nAnswer: -70*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 + 10*h + 3. Let q be v(-4). Let c(p) = 8*p + 11. Let j(g) = -g - 1. Let u(z) = -c(z) - 6*j(z). Give u(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*2\/(-4) - (-2)\/4. Let n be 44 + k + -3 + 5. Let f be -47*(-2 + 1 + 0). Is f < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2*y**2)*(36 + 32 + 26) + 0*y**2 - 2*y**2 + 3*y**2 to the form b + v*y**2 + w*y and give v.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/3? (a) -12 (b) -2\/13 (c) 62\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*r - 45*r = -1212476. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110011 + -1101111100?\nAnswer: -110001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -3*l**7\/70 + l**4\/4 - 7*l**2\/2 + 1. Let p(j) be the second derivative of f(j). What is the second derivative of p(o) wrt o?\nAnswer: -108*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 40\/100 - (-44)\/(-10). Let b(x) = x + 9. Let r be b(w). Solve r*g - 3*g = -8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6, -27, -102, -237, -450, -759, -1182, -1737?\n\"Answer: -3*t**3 - 3*t**2 - 3*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 290 = -25. Let w = -33 + o. Suppose -6*q + w = -q. Solve 8 = 4*h - q*l - 4, -4*h - 15 = 5*l for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.009 - -5. Let j = a + 0.0089532. What is j rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)\/v)**(-26)*((v\/(v*v**16))\/v)\/v**(9\/4) assuming v is positive.\nAnswer: v**(131\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3055.\nAnswer: 5, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*t - 71*t + 2*q = 37042, -q = 4*t - 74093. Suppose 3*p = -u - 9260, -2*u - t = -2*p + 7*p. What is u rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18 - -27)*(-2)\/3. Let c = h - -32. Solve 3*g = c*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20433003 + -130202?\nAnswer: 20302301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 2.4 (b) -38.5 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -70582073.208 + 2.17.\nAnswer: -70582071.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-18.08\nAnswer: 7.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/66?\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5794, -22449, -49958, -88321, -137538, -197609, -268534?\n\"Answer: -5427*q**2 - 374*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 + 6*j**2 + 12*j**2 + 20 - 19 - j to q*j**2 + n*j + b and give q.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*w = -42. Let i(s) be the third derivative of s**4\/24 + s**3\/2 + 4*s**2. Let g(t) = -21*t - 27*t - 10 - 32*t + 76*t. Give w*i(z) - 4*g(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -109 + 107.07. Let i = 4.07 - l. Which is greater: 19\/2 or i?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**4 + 1620*m**3 + 161408*m**2 - 564672*m - 6658560 = 0.\nAnswer: -204, -5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 7238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13861685?\nAnswer: 5, 71, 39047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -1\/2*a**4 - a + 0 + 3\/2*a**2 + 2\/3*a**3. Let z(m) be the first derivative of f(m). Differentiate z(b) with respect to b.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -21*c**2 + 9*c + 8. Let z(l) = l**3 + 2*l**2 + l - 2. Let a be z(0). Let f(g) = -5*g**2 + 2*g + 2. Determine a*q(r) + 9*f(r).\nAnswer: -3*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/5 of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 108064762 to the power of 1\/2, to the nearest integer?\nAnswer: 10395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**4 + 2*w**3 = 0. Calculate w.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3319.\nAnswer: 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 42*l + 98. Let q be x(44). What is the greatest common factor of q and 1760?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -35*b + 523. Let x be i(15). Put -3, 0.3, -3\/2, x, -0.2 in decreasing order.\nAnswer: 0.3, -0.2, -3\/2, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1064 and 168.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 47.1 to zero decimal places.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 8*q + 48. What is the lowest common multiple of q and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -328 - -4272\/13. Determine p, given that c*p + 2\/13*p**2 + 6\/13 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 12*d**2 + 5*d - 10. Let l be g(4). What is the common denominator of (-754)\/(-56) + (-4)\/(-14) and ((-4)\/90)\/(32\/(-40))*l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 9 + 2*b - b + 11*b**2 - 20 + 4 - b**3. Suppose 5*s = -2*p + 49, -2*p - 28 = -2*s - 0*p. Let j be r(s). Solve m = j*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -11*n + 106. Let l be (-2 + 25\/2)*((-344)\/56 + 7). Determine o(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/4)*x**(1\/8))\/(x**4\/x*x*(x*x\/(x*x**(1\/4))*x)\/x*x)*(x*x**(3\/8))\/x**(-1\/5)*(x**(1\/4)*x)\/x**2 assuming x is positive.\nAnswer: x**(-81\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 62 (b) 5 (c) 1\/4 (d) -18 (e) 0 (f) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 130 + -3b529?\nAnswer: -3b3b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 436, 563, 892, 1519, 2540, 4051, 6148, 8927?\nAnswer: 12484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**4\/4 + 267*u**3\/2 - 16041*u**2\/4 - 35613*u\/2 - 13662 = 0. What is u?\nAnswer: -3, -1, 44, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3860.4 - 3860. Which is the nearest to -311? (a) -0.4 (b) -5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -2960\nAnswer: 1\/592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 - 7*s + 3. Let z = 2 - -1. Let v(c) = 2*c**2 - 8*c + 4. Let m(t) = z*v(t) - 4*k(t). Suppose m(p) = 0. What is p?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a gram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8*1\/(-1) + (-1598)\/(-188). Which is the biggest value? (a) 2\/9 (b) -1\/94 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2562 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 1.9999994. Round r to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 - 10*u - 12. Let d be h(11). Let n = -24 + 36. What is the greatest common factor of n and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5104111193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d + 18. Let q be s(0). What is the greatest common factor of 90 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -4. Let h = x + -0.6. Let p = -0.5 + h. Which is bigger: p or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*w)*(0*w**2 + 2*w**2 + 0*w**2) + 10 - 7*w**3 - 10 + (0 - w**2 + 0)*(9*w - 2*w + 7*w) to b*w + d*w**3 + c + v*w**2 and give d.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.823 + -0.1156.\nAnswer: 14.7074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245294 is divided by 81077.\nAnswer: 2063","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**3 + 2*r - 4. Let a(w) = -w**2 - 2*w. Let x be a(-3). Let j(o) = -2*o**3 - o + 3. Calculate x*j(m) - 2*l(m).\nAnswer: 2*m**3 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 607.\nAnswer: 4249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/2 and -31\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**3 - 4*z**2 + z + 3. Let q be t(3). Suppose -4*u = -0*u + 4*p - 28, 8 = u + 2*p. What is the smallest common multiple of u and (4\/6)\/((-4)\/q)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 4*w**2 - 4*w. Let b = -24 - -29. Let r be l(b). Solve -2*z - p + 6 + 8 = 0, 5*p - 45 = -r*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 - 70 + 133 = -60*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*6312\/(-416) + 15)\/(3 + (-255)\/80).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*q = -251*q - 564 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-70)\/28)\/(25\/(-20)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1407 divided by 6.\nAnswer: -469\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x + 3. Suppose 0 = 5*a + 2*i - 18, -2*a + 4*i - 5*i = -7. What is y(a)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 5*k. Let l(i) = 823371*i. Give l(z(g)).\nAnswer: 4116855*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*o - 35*o - 4999 = -3*w, -15 = 3*o. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9369492?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 3*y + 3, 26*f - 27*f - 5*y = -17 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 59) + 22 + 89 + 11.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -3*d - 0*d + y, -8 = -2*y. Let k = -12 + d. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 times -3316.1?\nAnswer: -242075.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -120?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10, 15, 34, 73, 138, 235?\n\"Answer: x**3 + x**2 - 5*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/7 + 17393172*z**2\/7 + 37815217061688*z\/7 - 378153909936080\/7.\nAnswer: 2*(z - 10)*(z + 4348298)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*i**4 - 14*i**4 + 5*i**4 + (-4*i**3 + 2*i**3 + 3*i**3)*(-6*i + 3*i + i) to the form r*i + p*i**4 + a + v*i**2 + o*i**3 and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 240, -1\/4, -0.5, 6, 1 in decreasing order.\nAnswer: 240, 6, 1, -1\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g - 136. Determine p(8).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-6 + 8)) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 50141284 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 4*o + 52 = -8*t, 36*t - 2*o = 38*t - 26 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267247 is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 7*g + 1)*(-5 + 2 + 1)*(-69*g + 15*g - 3*g).\nAnswer: 798*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 623585 + -396185. Let y = 227400.1649897 - l. Let b = y + -0.165. Round b to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 932.19691 rounded to the nearest integer?\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 119, -55, -333, -727, -1249, -1911, -2725?\n\"Answer: -2*s**3 - 40*s**2 - 40*s + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/12 + 7*o**3\/3 + 59*o**2\/6 + 5*o - 69\/4.\nAnswer: (o - 1)*(o + 3)**2*(o + 23)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3*3\/(-36)*-4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -5*t + t + 8, 0 = t + 2*l + 3. Suppose 0 = 6*m - t*m - 3. Suppose 0 = -2*f - m - 5. What is the nearest to 0.1 in f, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*u**2 + 4 + 6 - 19 - 16*u**2 + 7*u**2.\nAnswer: 6*u**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58 and 522.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315 is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-18))\/((-2)\/(-12)). Solve 4*g + 18 = l for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1862308 and -0.09?\nAnswer: 167607.72","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 592*k**2 + 2*k - 3. Let s(d) = d**2 - d + 1. Calculate r(t) + s(t).\nAnswer: 593*t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2311.4 * 5.\nAnswer: 11557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 646 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 divided by -461892?\nAnswer: -557\/461892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 10*y**2 + y + 1. Let f(c) = 19*c**2 + c + 1. Let l(p) = -4*f(p) + 7*s(p). Let v be l(-1). Let n = v + 18. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -28*n + 27*n - 3*f, 72 = 9*n + f. Solve 50 = n*s + 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6735902 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -43*n - 220. Let z be v(-5). Sort 4, z, -152, 0.1 in ascending order.\nAnswer: -152, z, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 14, 4, -26, -82, -170, -296?\nAnswer: -466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2172 - 648 = -12*i. Calculate the highest common factor of i and 517.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.31 and 5.\nAnswer: -1.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1667037*a**3 - 2*a - 2163390 wrt a?\nAnswer: 10002222*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(6 - v**2 - 6).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540) - (-3*(sqrt(540) - sqrt(540)*1) + sqrt(540)))\/sqrt(12))\/(sqrt(99)\/sqrt(99) + -1*sqrt(9)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 0, 8*t = 2*b + 10*t for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 1)\/((-2)\/(-10)). Suppose -5*y + 0*y + 5*n = j, -1 = 2*y - 3*n. Let h be y\/(-20)*-26 + 2. Which is smaller: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, s: 3, q: 2}. Give prob of picking 1 c and 2 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148*l = -125*l + 529. Is -23 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -601*u - 773*u = -2608 - 11132 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by (-32)\/(-48) + (-34)\/(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - -7) + 16 - 33\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2. Let w be 2\/37 + 31098\/7881. Let y(p) = -p**2 - 2*p - 4. Determine w*s(a) + y(a).\nAnswer: -5*a**2 - 2*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -2*t**3\/3 - 22. Let j(u) = -105*u**2. Give j(b(o)).\nAnswer: -420*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(-49*n + 49*n - 15*n**4).\nAnswer: 15*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 353 + -353.5. Let v = 30 - 25.3. Which is the nearest to 0.1? (a) -2 (b) v (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + 80\/(-8) - 852. Let m be 2*4 + 6708\/j. Determine d so that -m*d**3 + 0 - 2\/11*d**5 + 6\/11*d**2 - 6\/11*d**4 + 4\/11*d = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 163976 and 245964.\nAnswer: 491928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -541*u + 161. Let g(d) = -10*d. What is b(g(t))?\nAnswer: 5410*t + 161","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*c**2 + 6*c**2 + c**2)*(c + 2 - 2)*(1 + 1 + 0 + c).\nAnswer: -21*c**4 - 42*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-4)*(32\/12 - 2). List the prime factors of (194\/(-4))\/((5\/(-10))\/w).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 356 = -152*b + 660 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 915*l = 908*l + 77 - 14 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 0)*(-3*b + 3*b + b) - 3*b + b + 0*b + 399*b - 1225*b + 695 + 404*b + 412*b to l*b + g and give g.\nAnswer: 695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.42 - 17.58. What is the biggest value in l, 1, -2\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*u**4 + 271*u**3 + u**2 + 8*u - 765206?\nAnswer: -12*u**3 + 813*u**2 + 2*u + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) 6\/79 (c) 3\/25 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 74464?\nAnswer: 521248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 + (74 + -3 - -4).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - c - c = 3, 0 = 5*h - 2*c - 23. Solve -h*i - 7 + 12 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-600)\/(-54)*-51*(-78)\/(-1105)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.16 - 1.46. Let i = 3.8 - x. What is the nearest to i in 3\/2, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -7 - (7 - (-59)\/(-4)). Let k be (9\/(-30))\/(-1 + -2). What is the closest to -2 in s, 0.4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 320 + 2360 = 0. What are the prime factors of r?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 22*i + 106. Determine g(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-2)\/(-6))*39\/((-28080)\/(-200))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3 + 12 - 8. Let d = -187 + 186. Let t = 8 - 14. Let u(m) = m - 5. Calculate d*u(z) + t*q(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73 + 57. Let v(c) = -2*c**2 - 33*c - 1. What is the remainder when 132 is divided by v(q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -76 - -80. Suppose -6*g + 99 = -57. Calculate the common denominator of (z - 145\/35)*11 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222 minutes before 8:21 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let q be -343 - 25\/(0 - -5). Let o = 552 + q. Is 17 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 - 53 = 3*h. Suppose 5*x + 22 = 3*l - 5, 4*x + 26 = -2*l. Is x greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2. Let m(c) = -42764*c**2 + 108. What is m(l(x))?\nAnswer: -42764*x**4 + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -9. Suppose -315 + 47 = -w*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*g**2*n**4 + 836747*g**2*n**3 - 8*g**2 + 27*g*n - 2217*n**2 wrt n?\nAnswer: 384*g**2*n + 5020482*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 6\/2)\/(-1). Suppose 0 = -f*z - z - 12. Let s(w) = 4*w + 7. Let a be s(z). Which is greater: a or -6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 14*k**2 + 656*k + 7575. Determine y(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 242ac90 (base 13) in base 10?\nAnswer: 11220027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*948.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 0\/3 - -3 - -2. Let z be b\/(-2)*(-8)\/2. What is the greatest common divisor of 44 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/7*(-56)\/16. Suppose 0 = b + t*b - 1170. Suppose -8*s + b = -2*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - (-37713)\/(-18)) + 2. Let f = h - -2104. Let v = -1985\/1048 - -5\/262. Find the common denominator of f and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1357 - -1355. Suppose -4*i = 16, -5*c - 2*i - 2*i = 31. Suppose -5*g = -10*g + 20. Put g, c, l in decreasing order.\nAnswer: g, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -72404 + 110816. Is z a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 151 - 148. Let l be 39\/9 - (-1)\/(-3). Suppose -j - l*v + 17 = -4*j, 4*v = 20. Sort f, 5, -4, j.\nAnswer: -4, j, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9624 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 14*o + 2. Determine h(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s - 43*s - 5*s - 61*s as x*s + b and give x.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 172123*b - 2. Let y(x) = x. Calculate y(n(l)).\nAnswer: 172123*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 253751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, h: 5}. Give prob of picking 1 h and 3 p.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 803*k - 6. Is b(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2960, 5918, 8876?\n\"Answer: 2958*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7048*o**3 + 52 + 53*o**4 + 7048*o**3 - o wrt o?\nAnswer: 212*o**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l - 18905. Let h(r) = 3786. What is -2*c(t) - 11*h(t)?\nAnswer: -2*t - 3836","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {a: 2, h: 8}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -h + 2*h + 10, 0 = -2*h - n - 20. Let d = -12 - h. Let y = d + 16. What is the remainder when 40 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 4*k - 4. Let i(u) = -u**2 + 5*u - u**2 + 3*u**2 + 5 + 0. Let x(n) = 4*i(n) + 5*m(n). Let j(v) = -8*v. Calculate j(x(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1278 - -1278.5. What is the third biggest value in -1.4, 0.14, 0.3, o?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-554)\/(-3878) - (-139)\/14*2?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 6*r**2. Let y(l) be the third derivative of l**6\/360 + l**3\/3 + 4*l**2. Let i(n) be the first derivative of y(n). What is i(c(j))?\nAnswer: 36*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence svv when three letters picked without replacement from vvbsbsvs.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 + 3*b**2 + 0*b**2 - b**2)*(36*b - 6 + 6).\nAnswer: -36*b**4 + 72*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -8. Let w = 29414.8774 + -29419. Let l = -0.1226 - w. What is the nearest to 2\/5 in l, 0.5, z?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.4, 2, 7.4, 0 in decreasing order.\nAnswer: 7.4, 2, 0, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -7. Suppose -z - 3*z + t = 0. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -603 (b) -0.4 (c) -619 (d) 4 (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**2. Let f(i) be the first derivative of -11*i**3\/6 + 33*i - 72. Let q(k) be the first derivative of f(k). Give u(q(v)).\nAnswer: 484*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o - 8*o - 4*o + (-1 + 4 - 4)*(-7*o + o + o) + 7 + o + 0*o + 0 - 15*o - 6*o - 2*o.\nAnswer: -25*o + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 176246729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.5 - -6. Let n = -0.1 - x. Is 0.1 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**27*y)\/((y*y**22*y*y*y)\/y)*y**(1\/27)\/y**(-7) assuming y is positive.\nAnswer: y**(271\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 114 = -5*y, -5*b + 4*y - y = -156. Let u = 53 - -12. Calculate the remainder when u is divided by b.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - u + 2, -4*x + 1 = 5*u - 36. Suppose x*t - 6*t = -204. Calculate the greatest common divisor of 34 and t.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/115 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and 323798.88202.\nAnswer: 323798.58202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -894\/1837 or 0?\nAnswer: -894\/1837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -1028755, 79 in decreasing order.\nAnswer: 79, 2, -2, -1028755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 153 - 153 - 608*x to a*x + p and give a.\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**2 + 5853532*o - 4282979609378 = 0.\nAnswer: 1463383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 132722 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -6. Let k be -4 + 3 + 28*o. Suppose 59 = 5*f - t, 3*t - k = -3*f + 12. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -6*z - 4. Let m = -22 - -42. Let s = m + -9. What is the remainder when n(-4) is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 greater than or equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 104880635 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 2 + -2 + 5. Let l be (-102)\/(-15) - 1\/(-4 + -1). Suppose -8*s + l + 81 = 0. Solve h + 4*h + 11 = b*i, h - 3*i = -s for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -3*g - 0. Calculate the greatest common divisor of 242 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of 0*h**4 - 5*h**2 + 1\/6*h**3 - 1\/60*h**5 - 1\/120*h**6 + 0 + 0*h. Let k be o(-1). Solve -9 = -4*i - k for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-135)\/(-54))\/(2\/12). Suppose -3*g + 6*g = 0. Solve 4*o + 1 + j = g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 2:06 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5171?\nAnswer: 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 253 - 249. Let x be 245\/(-56) + u + 163\/424. Is x > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 3*x**2 - 18441*x + 4591860 = 0?\nAnswer: 260, 5887","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 20)*(-2*x + 2*x - x) + 17*x + 80 - 80 as v + t*x and give t.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence up when two letters picked without replacement from {n: 3, p: 1, u: 1, h: 3, v: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04629 rounded to 3 dps?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -554?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/6*15\/(-1). Let g(u) = 4*u**2 - 5. Let a(j) = -j**2 + 1. Let n(q) = f*a(q) - g(q). Let o(k) = -k**2. Give o(n(i)).\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -58. What is the third biggest value in m, 0.1, -3\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 10*o - 21. Let x be s(-13). Suppose 4*a - 10 = -3*z + x, -5*z + 8 = -3*a. Solve 3*p + 3*l = -18, a*l - 8 = -5*p - 36 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/10)\/((-11)\/(-22)). What is the second smallest value in -6, -5, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 443.0633ng?\nAnswer: 0.4430633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 75 - 87 - 133\/(-11). Which is the nearest to -1? (a) x (b) 2 (c) 3\/4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9}. What is prob of picking 2 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*z - 14*z - 11*z - 2*z**2 + 28*z**3 + 51*z.\nAnswer: 28*z**3 - 2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8113 (base 10) to base 7.\nAnswer: 32440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-13)*c**(-9))\/((((c\/(c*(c*c*c\/c**5)\/c))\/c)\/c)\/c**(6\/5)) assuming c is positive.\nAnswer: c**(-109\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 = 7*r - 6*r. Let q = 595 + r. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2158355 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, 0, 35?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, n: 12, s: 1}. Give prob of sequence npsn.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5025\/2 + 1974829\/786. Let r = 1189\/1965 - w. Suppose l = -2*l - g + 2, -l + 14 = 3*g. What is the closest to l in 3\/7, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3834 or -3835?\nAnswer: -3835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (1 + (4 - 7))) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 360738 and 153?\nAnswer: 6132546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 2504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-1\/5)*v)\/(v*(v**4*v)\/v*v))\/(v*v**1)**29)**19 assuming v is positive.\nAnswer: v**(-5871\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, u: 1, r: 4, z: 4, x: 6, f: 3}. What is prob of picking 1 f, 1 n, 1 x, and 1 z?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 237 or 35?\nAnswer: 237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 10 + (1 - 5). Solve -3*y + 4*o = 2*y + 13, -o + 7 = -j*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1275 = -1275?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 60 - v**3 + 1768*v + 2*v**2 - 1768*v to the form j*v + f*v**3 + o + c*v**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28.3 - -28. Suppose -4 + 84 = -8*i. Put -5, i, n in ascending order.\nAnswer: i, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1323455473?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -7) + 1 + 3 + -6 + 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 44*l**2 - 50*l + 35. Is a(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*q**3 + 36*q**3 + 222*q**3 - 2*q**3.\nAnswer: 221*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 383 minus -1532443?\nAnswer: 1532826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/(-6) - 0)*80\/24. What are the prime factors of j*(-2 + 532\/20)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -1, -23 in ascending order.\nAnswer: -23, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2942380.8 months?\nAnswer: 245198.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*((2*sqrt(396) - sqrt(44)) + 5).\nAnswer: 9 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**8\/(n*n*n*n\/n**6*n))\/(n**(-5)\/n**6)*(n**(-4\/3)\/n**(-1\/2))\/(n**(-5\/3)\/(n**(6\/5)\/n*n)) assuming n is positive.\nAnswer: n**(661\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -187814893680 to the nearest one million.\nAnswer: -187815000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + -4 + -3 + 2. Let l(b) = -b**2 + 1. Let h(w) = -3*w**4 - w**2 + 3. Let t(n) = z*h(n) + 3*l(n). What is the third derivative of t(y) wrt y?\nAnswer: 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7096226 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319069.\nAnswer: 319069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 19, 28, 41, 58?\n\"Answer: 2*x**2 + 3*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -72 or 1.2185?\nAnswer: 1.2185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*7\/336*11\/((-66)\/(-72))?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1721*o**3 + 0*o**2 - 1725*o**3 + 0*o**2.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 12:25 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 289 = -1585. Is v a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3469806226.\nAnswer: 2, 53, 2237, 14633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -282*h + 180763. Give r(641).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**5\/60 - 11*o**4\/6 - 41*o**2. Find the second derivative of r(a) wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -119, 646, 2719, 6754, 13405, 23326, 37171, 55594?\nAnswer: 79249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54146644 and 12?\nAnswer: 162439932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 1) + 0 + 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 1:12 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010892922 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - c**2 + 3*c - 4. Let d be l(-3). Suppose d*j = 8*j - 150. Is j a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.47289 seconds in hours?\nAnswer: 0.001798025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -118443 - -1397.9?\nAnswer: -117045.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27638745 by -15.\nAnswer: 1842583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.121375683 - -0.1.\nAnswer: -0.021375683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 16 = -4*t, 3*l - 5 = 2*t + 9. Let w be (l + -2)\/((-2)\/(-3)). Let m(x) = 8*x - 4. Let y be m(w). What is the greatest common divisor of 8 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**3 + 21*m - 21*m)*(0 - 1 + 0).\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 8039531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3068 and 590.\nAnswer: 15340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 5 - (-1 + -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 389ac (base 15) to base 6.\nAnswer: 3514130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -2*n**5\/5 + 7*n**3\/3 + 2. Find the third derivative of v(k) wrt k.\nAnswer: -48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**5\/60 + 5*m**4\/24 - m**3\/2 - 13*m**2. List the prime factors of u(-9).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1543691?\nAnswer: 23, 41, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.035 - -0.395. Let n = x + 4.84. Let g = n + -5.1904. What is g rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02 - 0.42. Let i be 24\/(-35) - (-10)\/25. Which is the closest to 1? (a) i (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15906 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5*a**2 - 4*a - 9. What is n(-2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ep when two letters picked without replacement from {e: 3, p: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*q + 218*q + 2371404 = 6379982. What are the prime factors of q?\nAnswer: 59, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1535963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 114*v + 2814. Determine h(78).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 3*c - 7. Suppose h = -1, -8*l - 8*h + 3*h = -43. Give w(l).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y + 1. Let o(c) = -7407*c - 3. What is -o(m) - 3*v(m)?\nAnswer: 7398*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 112240750322 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (4 + -6) - 3) + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 2*y + 36. Is (-587)\/y + 4\/(-18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 21*i. Let r(v) = 787*v**2. Determine a(r(o)).\nAnswer: 16527*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 4*u + 19 + 12, -2*p + 3*u = 6. Suppose -p*l = -l + 3*l. Solve l = 9*s - 10*s + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 3*f + 10 = 0, -8 = 2*o - 3*f - 0*f for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -s + 15. Let z(i) = -3*i + 6. Let c be z(s). Which is greater: -8 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u**2. Let t(x) = 10827793*x**2 + x. Calculate t(n(k)).\nAnswer: 173244688*k**4 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 7 = -2*m, 3*x - m + 2 + 6 = 0. Let y(j) = j**2 - 7*j + 7. Let g be y(6). Suppose a + z = 5*a - 1, z = -a - g. Sort x, a, -1 in ascending order.\nAnswer: x, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d**3 + 2*d**4 - 127*d**2 + 59*d**2 - d - 3 + 69*d**2 to r + n*d**3 + l*d + a*d**4 + k*d**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus -4178120757464?\nAnswer: -4178120757468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0096 and 5.\nAnswer: -0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -0.5, 2\/37, -2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 5*w - 2. Let i be x(-3). Suppose j + j = -i. Suppose 0*n - 5*n - 16 = -2*v, 0 = -2*n + v - 7. Is n greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2953015 is divided by 477.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + sqrt(343)*-2)*1.\nAnswer: -12 + 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k + 15453 - 15453. Let f(n) = n - 96. Determine r(f(p)).\nAnswer: -2*p + 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*n - 17, 6*n + 2*h = 2*n + 28. Let k(l) = l**2 - 4*l - 1. Let s be k(6). What is the units digit of n*((1 - 1) + s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a3a + 1111?\nAnswer: -929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -91, -103?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3795900 to the nearest 100000.\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 7:18 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -13. Put 2, h, 2\/17 in descending order.\nAnswer: h, 2, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 220 - 142. Let z be 25 - ((-638)\/116 - 18\/(-4)). Calculate the greatest common factor of z and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, s: 4, l: 3, c: 4, m: 4, v: 1}. Give prob of sequence lvmc.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00982414935 to 5 dps.\nAnswer: -0.00982","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 19666*o**2 - 13 + 35 - 10 as f*o**2 + b*o + r and give f.\nAnswer: 19666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0.3. Let m = -49 + 50. Let a be (m - (-6)\/(-5))\/(230\/575). What is the third biggest value in 2, a, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1356.3 and -2.\nAnswer: -2712.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 6*h + 7. Let b(v) = -2*v - 13. Let o be b(-4). Let a be r(o). Solve 0 = -3*x + 2*p - 14, 10 = -a*x + 3*p - 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*w**2 - 41*w + 41*w as c*w + h*w**2 + l and give h.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 1:42 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/54 and 11 + (7 - 776\/16).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-10)*5 - 0. Suppose -4*g + n*g = 0. Let z(w) = w**3 + w**2 + 2. Give z(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1473.3675 + 1362.36791. Let d = 112.11 - 1.11. Let b = d + y. What is b rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 2*a + 5. Let k(c) = -c**2 - 3*c + 8. Let o be k(-4). Give h(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2178, 4333, 6488, 8643?\n\"Answer: 2155*t + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-13 - (-52 + -2)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -13 + -24 + -186 + 154.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*c + 28*c = 115. Let p = -21 - c. Solve -p*r = -r + 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1533954640 to the nearest integer?\nAnswer: 1153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6184 + 7860. What are the prime factors of ((-12)\/(-15))\/(-3 + k\/4680)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**7\/210 + 5*r**5\/6 + r**4\/8 + 19*r**3\/6 - r**2 + 1132. What is the second derivative of k(n) wrt n?\nAnswer: 12*n**2 + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/(-150) + 1\/(-45). Let k be 8\/(-16)*4\/10. What is the nearest to -0.1 in z, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 35572.59 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u + 3*u - u + (0*u - u - 3*u)*(8 + 122 - 16).\nAnswer: -455*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 2*i**3\/3 + 9*i**2\/2 + 10. What are the prime factors of t(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1163, 2322, 3481?\nAnswer: 4640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -19966755, -19966753, -19966751, -19966749, -19966747?\n\"Answer: 2*q - 19966757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*f**3*j**4 - 8*f**3*j**2 + f**2*j**2 + 13864*f*j + 1268409*j**4 - 8 wrt j?\nAnswer: 120*f**3*j + 30441816*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2888*q + 2894. What is l(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -84*w**2 + 4*w + 9. Let v be p(3). Let c = -505 - v. Calculate the greatest common divisor of 15 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/11 (b) -0.6 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 2539.86\nAnswer: -1269.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 82 and 778.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 13 = -5*c, -6 = 5*m + 4*c - 28. Let i be 0 + (0 - m)*-18. Let a = i - 21. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**4 - 2*a**4 - 51*a**2 + 26*a**2 + 28*a**2 + 3 + a**3 to p*a + o*a**4 + i*a**2 + c*a**3 + g and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1872*k - 1575 = 1797*k for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-1 + 0)*5. Is 16 a factor of ((-20)\/6)\/j*66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3791.73 * -7\nAnswer: 26542.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 540397, -12, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 56198.7 millilitres in litres?\nAnswer: 56.1987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -15*r**3 + 12*r**2 + 15*r - 21. Let d = 9 + -2. Suppose 2*b - 1 = d. Let w(m) = -7*m**3 + 6*m**2 + 7*m - 10. Let q(s) = b*o(s) - 9*w(s). Factor q(g).\nAnswer: 3*(g - 2)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1914?\nAnswer: 2, 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 136, -2\/7, -2, 3\/4 in decreasing order.\nAnswer: 136, 3\/4, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -331373*c*d**4 - 8*c*d**2 - 47670563*c*d wrt d.\nAnswer: -3976476*c*d**2 - 16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 21*q**2. Let y = -84 - -49. Let i = y - -37. Let n(m) = -16*m**2 + 2 + 14*m**2 - i. What is n(o(c))?\nAnswer: -882*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of l**4\/12 - 2*l + 11249. Let q(u) = -32*u**2 - 1. Let g(k) = k**2 - 1. Let d(b) = g(b) - q(b). Determine d(o(f)).\nAnswer: 33*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 2*v + 5. Let a(x) = 2*x - 4. Let j be a(3). Factor -5*r**3 + v*r**3 - j*r**5.\nAnswer: -2*r**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/((9\/80)\/(-3)). Suppose -4*o + 152 - b = 0. Find the first derivative of -6 + o*m**2 - 7*m**2 + 3 wrt m.\nAnswer: 22*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4105832?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -51 + 306\/126*(-2233)\/(-145)\nAnswer: -68\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4+-443.9\nAnswer: -447.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2510207111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 11*k**2. Let q = 1298\/9 + -1292\/9. Let t(f) be the first derivative of 0*f**2 - 14 + q*f**3 + 0*f. What is m(t(h))?\nAnswer: 44*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 3:12 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4889340361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3926009497 to the power of 1\/3, to the nearest integer?\nAnswer: 1578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from waaaaaaaaw. What is prob of picking 1 w and 3 a?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21344 - 3?\nAnswer: 21341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 449 - 19 = 0. Suppose -274 = -3*l + x. What is the highest common divisor of l and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 615 and 300?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hnn when three letters picked without replacement from nnnrhrhhhnhhrnhnh.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**8\/6720 - d**7\/5040 + d**5\/60 - 3*d**2. Let b(k) be the third derivative of p(k). What is b(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2414648?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**5*v*v**6)**(-13)*((v*v*v**(1\/7)*v*v*v*v)\/v**(-2\/3))**(1\/23) assuming v is positive.\nAnswer: v**(-81484\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s - 1 + s - 2*s. Let l be i(3). What are the prime factors of (-2 - -1)\/((-4)\/l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lkb when three letters picked without replacement from {q: 1, l: 3, k: 4, m: 1, b: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 110944, 443791, 998530, 1775155, 2773660, 3994039?\n\"Answer: -w**3 + 110952*w**2 - 2*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -734 or -229466?\nAnswer: -229466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 0*r**3 + 0*r**2 + 2*r + 2 - 1\/12*r**4. Let m(s) be the first derivative of a(s). Factor m(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -12129403.\nAnswer: 12129403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26518*s = 26533*s - 105 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2989267 and 0.18.\nAnswer: -538068.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 2 - (0 + -11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**2 + 11419500*q - 11419497 = 0.\nAnswer: 1, 3806499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84 + 207. Let a = 69 - m. Let s = a - -54.2. Which is bigger: -4\/13 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8053366597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -923 + 1988. Let n = -561 + x. What are the prime factors of n?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*0\/((-16)\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from {v: 4, u: 3, y: 1, h: 7, w: 2}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 3, o: 9}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 771 = 4*u - 1081. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 144138?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/43)*z**(1\/12))**(1\/66) assuming z is positive.\nAnswer: z**(31\/34056)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - 5*u + 105. Let b = -18 + u. Find the first derivative of 34*v**3 - 19*v**b - 22*v**3 + 22 - 2 wrt v.\nAnswer: -21*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.5, -2, 19\/2, -0.2 in decreasing order.\nAnswer: 19\/2, 3, 0.5, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -17*n**3 + 13*n**2 + 87*n + 15. Let m(f) = 8*f**3 - 6*f**2 - 43*f - 7. Give 6*h(u) + 13*m(u).\nAnswer: 2*u**3 - 37*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-7683)\/(-985))\/(14\/(-140))\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -139 - 5*s**4 - 2*s**2 + 272 + s**3 - 136 as a + n*s**3 + k*s**4 + t*s + q*s**2 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -10267610 to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -15*o**2 - 19*o + 6. Let z(u) = -8*u**2 - 10*u + 3. Let i(v) = -6*y(v) + 11*z(v). Let b(g) = -g. Calculate -4*b(t) - i(t).\nAnswer: -2*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7281 and 3465?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2198596608 to the nearest integer?\nAnswer: 46889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*w - 2. Let o = -7 - -8. Find the common denominator of 1\/16 and (2 - o\/4) + w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7525736 is divided by 169?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*o - 4*o + o)*(-o - 3*o - 14 - o**2 + 27) in the form u*o + p + t*o**2 + l*o**3 and give u.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 97 and 7081?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 14 = 75*m - 1088. Let n(z) = z**3 - 14*z**2 - 15*z + 13. What is n(m)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -5*v**2 - 17992810*v - 413831985 = 0.\nAnswer: -3598539, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 15 = -618*z + 620*z, s - z = 5. Solve 8*x = s*x + 5*d, -5*x = d for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/1060 (b) 3\/5 (c) -3\/7 (d) -2\/7 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 + 2 - 2\/(-1 - -2). Let b be (827 + a - -3)*(-22)\/(-4). Let i = 90609\/20 - b. Find the common denominator of -49\/5 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79 + 77. Which is the second smallest value? (a) 0 (b) l (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(605) + -4 + sqrt(605))*-5*-3 + 0 + -5))**2.\nAnswer: -42900*sqrt(5) + 548725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23035, 24160, 25299, 26458, 27643, 28860, 30115, 31414?\nAnswer: 32763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 19*u + 1. Let i be j(1). Suppose 2*q = -c - 4, -q + 5*c = 2*q - i. Factor 0 - 2\/3*o**3 + 0*o + q*o**2.\nAnswer: -2*o**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 253 - 105 - 3*c**2 + 4*c.\nAnswer: -3*c**2 + 4*c + 149","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0056217173 to five decimal places.\nAnswer: 0.00562","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, n: 1, i: 2, o: 1, h: 1, z: 1}. Give prob of picking 1 n and 1 b.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-8)*(2 - -16). Let j be (-9)\/(-6)*(-48)\/9. Is h bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(27)\/(sqrt(576)*-3 - sqrt(576)))**2.\nAnswer: -sqrt(3)\/8 + 4099\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3326, 3324, 3322?\n\"Answer: -2*p + 3328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 11 + 11*n**3 - 14*n**3 - 12.\nAnswer: -3*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(((-28)\/(-8))\/(-7)). Let s be (139245\/240)\/(2\/l). Let j = -2333 + s. Find the common denominator of j and -77\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51*l**3 - 30*l**2 + 19*l**2 - 33*l**2 - 133*l**3 wrt l?\nAnswer: -492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1 (b) 0 (c) 8 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/((sqrt(96)*-3)\/sqrt(8) + sqrt(12)) + -3.\nAnswer: -3 - sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2\/2 - 92675*a\/2 + 1950585.\nAnswer: -5*(a - 42)*(a + 18577)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-30))\/(24\/(-30)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 + 195*a - 7605\/4.\nAnswer: -5*(2*a - 39)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 130769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-1))\/((-48)\/624).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -10*g + 8. Let h(c) = c - 1. Let x(m) = 4*h(m) + k(m). Let t(d) = 8*d + 61. Let r be t(-7). Let f(l) = 5*l - 3. Calculate r*f(y) + 4*x(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**3 + 77*o**2 + 23*o - 1. Determine z(39).\nAnswer: -625","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/(-1) + 716\/(-192) and -11\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jn when two letters picked without replacement from vjnjmn?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c**2 + 4. Let q be ((-16)\/12)\/(2\/(-6)). Suppose 2*b - 7 = -1. Let o(i) = -i**2 + 5*i**2 - 3*i + b*i - 3. Give q*o(p) + 3*u(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.1*1155.\nAnswer: 3580.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 17*r**2 - 5. Let g be k(17). Put -6, g, -4 in descending order.\nAnswer: -4, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -10, -1\/8, 5, -8 in increasing order.\nAnswer: -10, -8, -1\/5, -1\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1896900 to the nearest one hundred thousand.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**3\/2 - 8*r. Let f(h) = 160*h - 82*h - 70*h. Give p(f(z)).\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 228 + -226. What is p in -10*p**2 + 50*p + 5*p**2 + 9*p**v + p**2 + 45 = 0?\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 881*v - 3611*v + 946*v + 901*v + 884*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0.5, -0.5, 0.46?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 a factor of 299127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 196*n**3 - 600*n**2 + 1735*n - 1057 + 3397 - 191*n**3.\nAnswer: 5*(n - 117)*(n - 4)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 + -57 + 144 + 15 + -3.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a**2 + 9*a - 2. Let r be n(-2). Solve r = 9*k + 19 + 17 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 69 = -4*l, -l + 2*m - 9 = 5*m. Let h = -12 - -66. Let f = h - l. Is f a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18071 (base 9) to base 8.\nAnswer: 30251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1992.107 rounded to the nearest ten?\nAnswer: 1990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 18. Let q = n + -2. Which is the nearest to -0.1? (a) 4 (b) -0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**2 - 462. Let u(v) = -7*v**2 - 10*v - 5. Let n(s) = 20*s**2 + 28*s + 14. Let o(d) = -5*n(d) - 14*u(d). Determine o(a(y)).\nAnswer: -8*y**4 - 3696*y**2 - 426888","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2888 and -0.1?\nAnswer: 0.02888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 114 - 4d?\nAnswer: a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + i + 0 - 5 = 0, 3*i + 5 = v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26934 by -13467.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 116 = -5*n, 8*n - 4*n + 3*a + 99 = 0. Let o be (-218)\/n + (-9)\/(54\/(-4)). Factor 9\/4*b**5 + 33\/2*b**3 - 3\/4 + 21\/4*b - 27\/2*b**2 - o*b**4.\nAnswer: 3*(b - 1)**4*(3*b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ffff7 (base 16) to base 6.\nAnswer: -34250251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.2, 316 in descending order.\nAnswer: 316, 0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 125240 = 2*x, -3*x + 196977 = 5*l + 9150. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/54204 and -61\/2102?\nAnswer: 56968404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 46, 103, 174, 265, 382, 531, 718?\n\"Answer: u**3 + u**2 + 47*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 224.50871.\nAnswer: 673.52613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2504 - -2504.4. What is the smallest value in -0.5, u, 16, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1803928, -1803927, -1803926?\n\"Answer: s - 1803929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -9*x. Let d be c(2). Let s = d - -23. Suppose s*y - 68 = -5*b + 2*b, 5*y - 100 = 5*b. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 138?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20645 is divided by 19997.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 17 + q**2 - 17. Let b(o) = -o**2. Determine n(b(f)).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -12*y**2 - 147*y - 3. Let s(p) = -34*p**2 - 442*p - 8. Calculate 14*q(d) - 5*s(d).\nAnswer: 2*d**2 + 152*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 10*y**2 - 9. Let w be z(-11). Let v = 208 + w. List the prime factors of v.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*f = -5*s - 8, 3*f = -s - 10. Let v be 1 + f - 24\/(-4). Suppose -8*i = -v*i. Sort -6, 2, i in decreasing order.\nAnswer: 2, i, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7080232 is divided by 45.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 484.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**2 + 2*d**4 - d**2 + (-4*d + 3*d - d)*(-2*d**3 - 5*d**2 + 5*d**2) - 2*d**4 + 3*d**4 + 0*d**4 - 2*d**4 + 3*d - 3*d.\nAnswer: 5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(12\/9) + -1. Which is greater: -3 or u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(-33)))\/(v*v\/(v*v\/v**(-4))*v) assuming v is positive.\nAnswer: v**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 9, 520*g - 504*g - 35 = 3*f - 5 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hohh when four letters picked without replacement from {o: 1, h: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.261 + -196.739. Let o = -127 - u. Let x = -73 + o. Sort x, -4, -3\/2, -1\/12 in decreasing order.\nAnswer: -1\/12, -3\/2, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*z + 17*z + 18*z - 71*z + 16*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3100 * 8.7.\nAnswer: -26970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-352)\/154)\/(-16)*10\/(-300)*-63.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.8644 + -0.3644. What is the second biggest value in 0.3, i, 19, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 714 and 34?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 693053 + -4147699\/6. Let k = s - 1786. Calculate the common denominator of k and ((-76)\/352)\/((-2)\/8) + -2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 5\/992?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -537 - -1157. Is 67 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/(-12))\/1)\/(84\/252)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.099? (a) -3 (b) -2\/23 (c) 0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*h = 117650 - 117452 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1440671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -91905450 plus -0.4?\nAnswer: -91905450.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 1244?\nAnswer: -1238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 160232899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 164, 174, 184, 194, 204?\n\"Answer: 10*n + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12, 40, 88, 156, 244, 352, 480?\n\"Answer: 10*f**2 - 2*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4226*y - 21124. What is j(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -717*o**3 - 13*o**2 - 4. Let t(k) = -359*k**3 - 6*k**2 - 2. Calculate -6*g(v) + 13*t(v).\nAnswer: -365*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.34 * -5.\nAnswer: 16.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + sqrt(104)*2)\/sqrt(8)*-3 - (((sqrt(13) + 2)*1)**2 + -1).\nAnswer: -13*sqrt(13) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 709 + -3541\/5. What is the closest to 46 in -0.5, 0.4, -4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/(-21) + 98\/6. Let h = 34 - g. Let v = -16 + h. Solve 4*u = v*c - 20, 2*u + 2*c + 5 = 1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/20 - -13\/20. Let u be -1 - 0 - 24\/(-16). Factor -f**2 - f**3 + 1\/2*f + o*f**4 + 1\/2*f**5 + u.\nAnswer: (f - 1)**2*(f + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*p = 267*p + 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -3*u + 7743 + 3513, 5*z = 0. What are the prime factors of u?\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/(-2))\/((-2)\/((-4)\/1)). What is the greatest common divisor of y and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 71.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -3*r - 11. Suppose 4*h - 2*h - 26 = 2*m, -2*m + 58 = 5*h. What is the greatest common divisor of r and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c - 46. Give t(-19).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-57)\/(-19)*52\/(-12)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 4*c + c)*(-2*c**3 + 4*c**3 - c**3) - 13*c**4 + 30*c**4 - 6*c**4.\nAnswer: 10*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -820 - -817. Let b(o) = 14*o + 44. Let l be b(j). Put l, -0.04, -5 in descending order.\nAnswer: l, -0.04, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107 = 23*o + 38 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 167 and 691213?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13878 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7673 = 6*l - 88153. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/154*2058\/(-490) + (-4080)\/2574.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + -3.9. Suppose 0 = 7*h - 4*h - 2*k + 3, 0 = h - 4*k - 9. What is the third biggest value in h, p, -2\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 263 and 8153.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 9*v**2 - v + 5. Let m be g(-10). Let x = 115 - m. Let i be 14\/6 - x - 4\/(-6). Solve -i*t - 3*r = -r - 10, 0 = 2*t - 3*r + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*(n\/n**3)\/n*n*n*n*(n\/((n*n**(-12)\/n)\/n))\/n)\/(n\/(n\/n**(-3\/28))*n\/(n\/(n*n**(-25)))) assuming n is positive.\nAnswer: n**(1095\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-16)\/(-40))\/((-6)\/5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29652199207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17496 + 17508. Let r = -15 + 10. What is the third biggest value in 0, r, z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o**5\/20 - 8*o**4\/3 - 10*o**3\/3 - 53*o**2\/2 + 159*o. What is the hundreds digit of d(33)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**4 + 463*y**3 - 35353*y**2 - 21193855*y + 1763341800 = 0. What is y?\nAnswer: -355, 88, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 168, 142, 84, -18, -176, -402?\nAnswer: -708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddhhqdehhqqdhhq. What is prob of sequence dd?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + z - 2. Let q be (13 - 410\/30)*(1 - -2). Let b(x) = 2*x**3 - x**2 + 2*x - 5. Calculate q*b(r) + 5*v(r).\nAnswer: r**3 + 2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 8 = -2*b + 4*a, 0 = 5*b - 5*a - 20. Suppose -b*u + 4 = -4. Find the second derivative of -22*c**2 + 2*c + 19*c**u + 2*c wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/2*(234\/45 + -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -3*w - 79724 - 414244, 4*w = 3*h - 493965. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(1\/5)*d)\/d)\/d)\/(d*d\/d**11) assuming d is positive.\nAnswer: d**(41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 0)*(152\/2 + -4). What are the prime factors of (-85536)\/g - (0 + 6)?\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -4*w - 54, -2*r + 5*w - 4 - 59 = 0. Let o = r + 33. Solve -4*m + 4 = 0, -23 = t + o*t - 3*m for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 667 or 662?\nAnswer: 662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 8, i: 3}. What is prob of sequence tit?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -528932260*d - 250095906.\nAnswer: -528932260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1122001 - -11?\nAnswer: 1122012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1705 and 166067?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4249579 is divided by 607065.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3\/7 (b) 2\/5 (c) 2299 (d) 5\/2 (e) 12 (f) -5 (g) -3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -12. Let k(x) be the second derivative of 1\/20*x**5 + 3*x + 1\/6*x**3 + 1\/6*x**4 + 0 + 0*x**q. Suppose k(d) = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**3\/5 - 1806*b**2\/5 + 8988*b\/5 - 7184\/5 = 0.\nAnswer: 1, 4, 898","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3542 - 3539. Let v(f) be the first derivative of -f**2 - 29 + 1\/3*f**g + 2*f. Determine v(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -8, 0 = -5*j + 5*q + 140 + 80. Calculate the highest common divisor of j and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14029 - -14029.0003728. What is f rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 11:48 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2.4 times 0.2\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4804216569?\nAnswer: 3, 177933947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a factor of 42084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-62 - -3)\/(-1 + 3 - 3). Suppose 2*r - p - 33 = -92, 146 = -5*r + 2*p. Let s = u + r. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*l - 60. Suppose -111 - 14 = -5*b. Let p = l + b. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.02, 5\/4, -0.1, -1, 2\/31, 2?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 211636011?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + 2*q - 4*q + 43*q - 31*q - 36*q - 7*q + 5*q - 6*q + (0*q + 3*q - 2*q)*(-3 + 6 - 1).\nAnswer: -33*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 21632607?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - z - 4)*(2*z**2 - z**2 + 0*z**2) + 3*z**3 + 6*z + 285*z**2 - 285*z**2 + (0*z**2 - 3*z**2 + 2*z**2)*(-z + 3*z - 3*z).\nAnswer: 3*z**3 + 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-3 - -2) - (-8 + 18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/9)\/4*(-36)\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6397*l**4 - 2017.\nAnswer: -25588*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**3 - 7*k**2 - 2. Let h be l(-5). Suppose -h + 722 = 2*y. Is -3 - y*(-1 + 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3*c = -571 + 189, 3*j = c + 232. What are the prime factors of j?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114 and 958911?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.495285666 rounded to 3 decimal places?\nAnswer: -15.495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**5\/20 - t**4\/6 + 2*t**3\/3 + 64*t**2 - 64. Let h(g) = -2*g**2 + 0*g + 3*g - 3 + 4*g**2. Calculate 4*h(n) + 3*i(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.02, 11, -3\/8, -2\/9, -0.5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 7:53 AM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, e: 1, i: 2, x: 1, r: 1}. What is prob of sequence oi?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 1. Let k be l(-5). Suppose 42 = k*q + 2. Let j = q - 2. Calculate the least common multiple of j and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/5)\/(-2 + 3). Let s = -12 + -13. Let h = 23 + s. What is the nearest to h in -4, r, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10231 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 399382 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113911355?\nAnswer: 5, 22782271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5660, -5527, -5394, -5261, -5128, -4995?\nAnswer: -4862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 2*m - 24647, -2*z + 8*m - 9*m = -16422. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*l = 198292, 3*l + 198328 = -23*j + 21*j. Round j to the nearest 1000.\nAnswer: -99000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 189.1 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 137 + 8. What are the prime factors of x?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -224\/5 + 45. Let z = -9.4 + 8.9. Let r = -87\/4 + 965\/44. Put z, s, r in increasing order.\nAnswer: z, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 26 - 14 = 0. Let x = -7 - a. Let d(l) = l**2 + l - 2. Give d(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-67)\/35 + 2)\/((-2121)\/(-7070))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.4 - 9.6. Let x = -14.4 - d. Let q = 1 - 0. What is the third biggest value in x, q, 1\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14508 and 162162?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - l = -6*l - 9, -5*w - 40 = 4*l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**4\/12 - k**3 + 13*k**2. Let s(q) = q + 1. Let o(i) = i**2 - 3*i + 1. Let a be o(1). Determine a*g(m) - 4*s(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 3*y - 2. Let u be t(3). Let c = 755 - 754.8. Let o = -16 + 11. What is the third biggest value in c, u, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 1, -0.0368?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b. Calculate c(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a centimeter in millimeters?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 34*d**3 + 16*d**2 + 6*d + 127. Is x(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 144 - 119. Which is bigger: -2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f**2 + 4*f + 12. Let t(z) = -z**2 + z + 2. Give -g(x) + 5*t(x).\nAnswer: -2*x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -2451.\nAnswer: 5\/2451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 3*q - 0*y - 12, -4*y - 16 = 0. Let w = 36 + -23. Suppose w*o - 10 = 12*o. Sort o, -4, q in descending order.\nAnswer: o, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 f when four letters picked without replacement from {c: 4, f: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-466)\/8*(-4)\/5. Let c = -47 + d. What is the nearest to c in -1\/4, 0, -2\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00033085 to six decimal places.\nAnswer: 0.000331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -6*v**2 + 2*v**2 + 5*v**2 + 2*v**2 + 15*v + 18 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 22. Let w be ((-12)\/(-42))\/((-2)\/a). Let k(j) = -j**2 + 3*j - 2. Let h be k(w). Which is bigger: 2\/25 or h?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64596 * -0.24\nAnswer: -15503.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 4 (b) -62 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1405 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/(-3) - -538) + 0. Suppose 5*k - 6*m = -2*m + h, 2*k - 214 = m. Let j = 528\/5 - k. Is j > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4 = 4. Let j = d + 9. Suppose -5*u + 435 = j*a, -3*u = -2*a - 20 - 246. Calculate the highest common divisor of u and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.9 + 29.1. Let q = 2182.2 + -2182. What is the third smallest value in -0.5, y, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (1 + (3 - 1)) - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -24.2+360.57\nAnswer: 336.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1348 = -268*t - 260 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1578081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*m - 3416*m = 184496 for m.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -251 - -248. Let s = -1 - -3. What is the third biggest value in p, -0.2, s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 867347 is divided by 45646?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**5\/30 - 2*y**2. Let k(h) = 20*h. What is k(t(b))?\nAnswer: 40*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2.9*33301\nAnswer: -96572.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**4\/12 + f**3 + f**2 - 5*f. Let n be t(5). Suppose -3*o + 6*o - n = 0. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 5*j - 15, t - 2*j + 0 = 6. What is the third smallest value in -1, t, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*z - 14 = 2*s - 69*z, 14*s + 5*z = 3*z + 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(30)\/sqrt(600) + 4.\nAnswer: -sqrt(5)\/10 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 4 + 1910*j**2 + 1872*j**2 - 6 + 1570*j**2 to g*j + y*j**2 + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 3*d - 1. Calculate b(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5440053 divided by -3.\nAnswer: -1813351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-32)\/(-48)*(-18)\/(-4). Let w be -36 - (-2 + (-6)\/d). Let p be w\/(-56) + 744\/21. Round p to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 42 = 2*x, -4*g + 63 = 3*x + g. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4550 (base 6) to base 10.\nAnswer: -1074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 13*s - 7. List the prime factors of w(8).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118140 + 344382 = 3*o. Let y = -92874 + o. Round y to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.24 + -0.14. Let b = 6.96 + -35.96. Which is smaller: p or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31 in 357, -1, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -27*1\/6*-2. What is the greatest common divisor of 63 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzoozozoo. Give prob of picking 2 o.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 times 8?\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 72\/(-32)*4 + -1\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 10*d**2 + 13*d + 25. Let p(t) = t**2 + 27*t - 11. Let x be p(-27). Let m be b(x). Suppose 0 = -a - 5, k + m*a = -0*a + 203. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**3 + f**2 + 4*f - 5. Let t(j) be the second derivative of j**5\/4 - j**4\/6 - j**3 + 7*j**2\/2 - 6722*j. Determine -7*b(z) - 5*t(z).\nAnswer: -4*z**3 + 3*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 - 743*f**3 - 82 + 184*f**3 + 180*f**3 + 191*f**3 + 189*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40\/(-12)*(-936)\/130 and 436.\nAnswer: 2616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s**2\/2 - 7*s - 25. Let m be h(9). Which is the third smallest value? (a) 1\/4 (b) 43 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12424*d*l**3 - 2*d*l**2 + d - 2*l**3 - l**2 - 4035*l + 58 wrt d?\nAnswer: -12424*l**3 - 2*l**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 29750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -2*h - 34, 0 = 22*s + 4*h - 432 + 200 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w - 53*w = 259. Let y be (8 - (-48)\/(-7))\/((-1)\/w). Is 57\/8 at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 12. Suppose 4*c + f - 8 = 0, -4*c - 1 + 9 = -2*f. Let x = 59\/5 + -349\/30. Put c, x, l in decreasing order.\nAnswer: c, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q + 5. Let d(u) = -2*u - 4. Let z(n) = -5*d(n) - 4*f(n). Let t(g) = -14*g + 5. Determine t(z(r)).\nAnswer: -28*r + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -710520 + 1426829. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2002 = -24*n - 2*n. Suppose -n*k + 7810 = -55*k. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -15*f**2 - 104*f + 7. Let h be y(-7). Let c(b) = -b**3 + 2*b**2 + 5*b - 4. Let z be c(3). Solve h = -z*v + 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146 - 981*n - 164 + 1145*n.\nAnswer: 164*n - 310","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 79739 and 56015.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 605613670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 40*v - 3076. Let s be c(39). Solve -s*l = -4*f + 11, 5*f - 6*l + 8*l = 22 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x**3 + 2*x**2 - 1. Let f be u(-1). Solve f - 21 = -5*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 9.3. Let q = -7.1 + 7. Let y = q + t. Which is the smallest value? (a) y (b) -2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -v - 2*v**2 - 42 + 91 - 47 + 11*v**3 as c + i*v**2 + f*v + j*v**3 and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/12 and -26\/105.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-15)*2\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 9. Let y be j(7). Let m be (-3)\/y*12\/(-9). Solve m*g - 3 = g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 5*c**2 - 5*c - 1. What is w(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96690.\nAnswer: 2, 3, 5, 11, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 760*h - 656*h = 208 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 972*s**3 - 317*s**3 - 21 - 324*s**3 - 332*s**3 + 10.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 0*z - 8\/3*z**3 + 0*z**2 + 2*z**4 - 8. Find the third derivative of n(r) wrt r.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -35a9?\nAnswer: 35a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 1587*o - 1590*o - 40, -2*o - 31 = -3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4*2*sqrt(1216) + sqrt(1216) + sqrt(1216) + 1 + -2 + -3 + -3 + (1 + sqrt(1216))**2)*-2.\nAnswer: -7260 + 192*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Convert 364.5968 milligrams to nanograms.\nAnswer: 364596800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-12))\/((-165)\/41931). Let l = q - 409\/5. Calculate the common denominator of -12 + 15 + (-84)\/22 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6}. What is prob of picking 3 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 478027 to the power of 1\/2, to the nearest integer?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(2)*-2)**2 + 1)*2 + (4 + sqrt(2) + (sqrt(2) - (sqrt(2) + 2 + -4)) + 1)**2.\nAnswer: 30*sqrt(2) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/6 - (-8)\/(-6). Suppose -4*f = 2*a + a + 20, -5*a + 5*f = -25. What is the closest to 1 in i, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/6*(-684)\/(-6). Let v = -32 + u. Let s(o) = 21*o - 11. List the prime factors of s(v).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13\/5 - 3 - (-64)\/10. Suppose -3*g + 5 + 1 = 2*m, -5*m = g + 11. Let f = m + t. Let h(v) = -2*v + 1. Determine h(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 6 = 2*p - 3*r, -4*r = -2*p - 10. Let t(y) be the second derivative of 0 - 1\/6*y**p + 2*y + y**2. Calculate t(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -2. Let n = d - 21.5. Which is the nearest to 2\/5? (a) 3\/7 (b) -0.03 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6272413522 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h - 4201 + 4192 - 6*h.\nAnswer: -2*h - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -7. Let f be 2 - (-4 - 3\/(-3)). Let i be ((-2)\/f)\/((-2)\/(-10)). Sort i, -5, l in decreasing order.\nAnswer: i, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 + -143964.0463653\nAnswer: -143963.9563653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -0*n + 3*n. What is the remainder when (-3 + n\/(-6))\/(-1)*-51 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97664 = 3*k - i, 10521*i = k + 10523*i - 32564. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 + 48. Let h(m) = -15*m - 2. Let b(p) = p + 6. Let o be b(-7). What is the remainder when h(o) is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.23 and -2.\nAnswer: 0.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 0. Suppose -64 = d - 0*k + q*k, -5*k + 192 = -3*d. Let n be (d\/(-20) - 2)*5. Solve 4*t - 2 = n for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 476, -32\/381, -3, -0.4?\nAnswer: -32\/381","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-1 + 5) - (-8 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1691152, -3382308, -5073464, -6764620, -8455776?\nAnswer: -10146932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 642405605 divided by 5\nAnswer: 128481121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11368043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 53748 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65168 + 469795 = 43*s. What is the thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125\/50*24\/(-15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 15*d - 13. Is 21 a factor of b(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 114, -0.5, -27, -0.1, 0 in increasing order.\nAnswer: -27, -1, -0.5, -0.1, 0, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + 0*j**2 + j**2)*(-13*j - 16*j + 45*j).\nAnswer: 32*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45110, -90406, -135704, -181004, -226306?\nAnswer: -271610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 35 = 5*y, -4*y + 10 = -2*v + 2. Let f be v\/33 - (-740)\/(-44). Let u(p) = -11*p**3 - 3*p**2. Let h(d) = -4*d**3 - d**2. Determine f*h(s) + 6*u(s).\nAnswer: 2*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*k)*(0 + 3 - 2) + (4*k + 2*k - 4*k)*(-4 - 23 - 100 + (0 - 3 + 1)*(-5 + 0 + 2)) + 1 - 1 - 2*k.\nAnswer: -246*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*a - 50 = -0*l, 6*l + a = 55. Solve 14 = z + l for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -8*i. Let r = -2 - -10. Let x(l) = 24*l - 1. Let g(q) = r*o(q) + 3*x(q). Calculate the remainder when 49 is divided by g(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -108*y + 1. Let u(n) = -95*n + 36*n + 57*n. Determine d(u(g)).\nAnswer: 216*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68210662 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v. Let g(h) = h**2 + h - 1. Let m(i) = 5*i**2 - i + 1. Let j(y) = -g(y) - m(y). What is u(j(x))?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 33718431 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0.16, -1\/2?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79.42 + 80. Let f = x - 0.54. What is the nearest to -5\/2 in f, -4\/5, 4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*m + 2113295 + 4804299 = -2823020. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(4212)*4)\/(sqrt(64) + (-3*(sqrt(64)*2 + sqrt(64)) + sqrt(64) - sqrt(64)) + sqrt(64)))**2.\nAnswer: 16848\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -132)*48\/144. Calculate the highest common factor of 440 and c.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 2*t + 20. Give v(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 20*k**2 + 431*k - 7482. What are the prime factors of q(17)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38655?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2565458141 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-3*(sqrt(45)\/(-1*sqrt(9)))**2*3.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 - -37. What is the remainder when 42 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2 (b) -0.1 (c) 0.3 (d) -4\/311\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 4*y + 72, 9*i = 4*i - 3*y + 78. What is the remainder when 13220 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 4*h**2 - 2*h - 4. Let y be (4\/8)\/((-2)\/16). Let m be g(y). Suppose -21 = -m*d - 9. Solve 0 = o - d*o + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 + 7)*(3*c + 2*c + 0*c).\nAnswer: 55*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) + (2*sqrt(847))**2 + 3.\nAnswer: 11*sqrt(7) + 3391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 6*i**2 + 6*i - 14. Let r(o) = o**3 + o + 1. Let j(v) = -2*r(v) + z(v). What is the remainder when 22 is divided by j(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102386\/449 >= -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*9*((-12800)\/(-192) + -65)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u + 2. Let a = -7 - -14. Let t be h(a). Let x = 59 + t. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssd when three letters picked without replacement from {s: 7, d: 2, p: 2}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w**3 - 46*w**2 + 26*w - 9. Let v(y) = -5*y**3 - 44*y**2 + 24*y - 12. Give -4*g(u) + 3*v(u).\nAnswer: u**3 + 52*u**2 - 32*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 376 and 3572?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 8 - 8 - 4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3311537407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 31*h - 3. Let j(w) = 30*w - 3. Let o(u) = -2*j(u) + 3*x(u). Let z(s) = -11*s + 1. What is 6*o(l) + 17*z(l)?\nAnswer: 11*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1.24, -1.4, 1\/12, -10, -0.4?\nAnswer: 1.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 841484 and 820.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -0.92, -4, 4\/21?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 19*h**2 - 83*h + 228. What is m(3)?\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, d: 10, s: 4}. Give prob of picking 1 s and 3 v.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 746*q**3 + 643*q**3 - 524*q**3.\nAnswer: 865*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((55425050\/(-15))\/10)\/(77894\/282). Let j = -2204\/1343 + n. Let i = j - -1340. Find the common denominator of 10\/11 and i.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 18 - 22. Is 4\/n - (-1566 - -8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -361*t = -114*t + 1548 + 5615 for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -807976 divided by 201994?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3\/4, -1, -479, -0.7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 48, 44, 38, 30?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + -1 + 3 - -1) + 162 + -157.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f**3*k*w + 446*f**3*w + f**2*k + 20*f*k*w - 3*f*k - 5*f*w - 2*k*w + w wrt f?\nAnswer: 18*f*k*w + 2676*f*w + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/((-8)\/(-864)*-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2. Let c be g(-3). Let t = c - -13. Calculate the remainder when 7 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5114 + 30787\/6. What is the common denominator of 36\/11 and v?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 2\/42619111 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1324*b + 6*b**2 - 1334*b + 5*b**2 + 2658*b.\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 25*c + 160. Let v be z(-30). Let l(w) = -w**3 + 11*w**2 - 11*w + 6. Give l(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 30*j - 25. Let z be o(-29). Suppose -u - 6 = -z*u. Solve -15 - 7 = -u*d - 5*q, -d = 4*q - 17 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(560)*3)\/((sqrt(200)\/sqrt(4)*2)\/sqrt(10)).\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -146 + 165. Calculate the remainder when 206 is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-111)\/(-370)*4*(-2)\/(-6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2634*h - 33153 - 93183 = 47508. Factor -2\/9*w**4 + 5324\/9 - h*w**2 + 1210\/9*w + 62\/9*w**3.\nAnswer: -2*(w - 11)**3*(w + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2\/9)*b**(-3\/4))\/((b**(-4\/3)\/b)\/(b*b**7*b))*((b**(-4\/3)*b)\/b*(b*b*b**(-2))\/b)**(-7) assuming b is positive.\nAnswer: b**(1013\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 330 divide 9323490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -10*z - 1. Let v(n) be the first derivative of 1\/2*n**2 - 6 + 17*n. Let s be v(-19). What is f(s)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0. Calculate the smallest common multiple of (z - (2 - 3))*14 and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 534 is divided by 455?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h - 53. Let u be r(-8). Let s = u - -63. Solve -3*y - 9 = -s*b, b - y - 8 = 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9196 - -299. Is 45 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/3 - (-1328)\/6. Let z be 6*4\/(8\/51). Let n = k - z. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/11340*28*24\/340.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 1.6456.\nAnswer: 3.2912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 1 - 2 - 10 - 11*l. What are the prime factors of t(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/3002112 and -49\/246.\nAnswer: 123086592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143334.\nAnswer: 2, 3, 7963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + k**2 + 3*k + 3. Let h be i(0). Solve -4*d - h*j = -0*d - 24, 14 = 2*d + 2*j for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 26 = 14*d. Sort -1, -4, 3, d in decreasing order.\nAnswer: 3, d, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(13\/(-2) - -5). Is 10 a factor of (4\/3)\/(-3*d\/513)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16761 is divided by 2679?\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27\/35 + -4\/7. Let v be (2\/5)\/((-14)\/10). Suppose 4 = -5*g - r, 3*g = 3*r + 13 - 1. Which is the smallest value? (a) q (b) v (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u. Let b(f) = -2*f**2 - 9*f. Let h(t) = -b(t) + 5*r(t). What is h(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -223 and 0.03 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 17*c - 57 + 57. Let b(j) = -2*j**2. What is b(x(v))?\nAnswer: -578*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -56584132283831 and -10.\nAnswer: -56584132283841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 627088?\nAnswer: -62708.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4, -5*c + c = -2*b + 5788. What is the hundreds digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ftbsbfbqfqbqffqqbfq. What is prob of sequence fqs?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 10) in base 14?\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 250 - 59 = 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -12) + 54\/10.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93 + 72 + 96*t**2 + 1430*t**2.\nAnswer: 1526*t**2 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 0*v - 104. Let k be 4\/14 - v\/(-7). Let i(d) = -2*d + k*d - 2*d - d. Let p(u) = 2*u**2. Calculate p(i(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -165*t**4\/2 - 650268*t**3 + 19500423*t**2\/2 + 10779453*t + 379056 = 0.\nAnswer: -7897, -1, -2\/55, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 + 6*y**3 - 4*y**3 + (3*y + 2*y**3 - 3*y)*(2 - 4 + 1) - 3*y**3 - 3*y - 3788 + 8*y**2 + 3788.\nAnswer: -4*y**3 + 8*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*p - 15. Suppose -1605*q - 1550 = -6365. Solve -q*s = -h - 12, s - p = -4*h + 1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -37568, -37497, -37426, -37355, -37284?\n\"Answer: 71*j - 37639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.75 + 1.9. What is y rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-598)\/(-3))\/((-4)\/(-6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3920 = 4*d - 3*r, -5*r - 4900 = -5*d - r. List the prime factors of d.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*6\/(-36)*0. Suppose -11*h + 12*h - 527 = w. List the prime factors of h.\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20434 is divided by 4085.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 35381934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*v**4*w - 54*v**3 + 303*v**2 - 29346*v*w - 14*v wrt v.\nAnswer: 36*v**2*w - 324*v + 606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 12. Suppose -z - n + 6 = 0. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 v when four letters picked without replacement from {l: 1, d: 5, v: 4}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 3. Suppose -3*h - 12 = 2*c, 0 = -3*c - 5*h + 4*h - 18. Let j = w - c. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13401 - -8643647\/645. Is c smaller than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -791 and 2.72031.\nAnswer: -2151.76521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-340)\/116 + (-6)\/87. Suppose -2*j = -j + 2*t - 18, -3*j - 3*t + 39 = 0. Sort -1, 1, y, j in increasing order.\nAnswer: y, -1, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 18 - 10*a - 15)*(-3*a - 7*a + 2*a).\nAnswer: 80*a**2 - 32*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - (-15 + (-100)\/(-8)). Let o = 2 + -3. Which is the closest to -1? (a) o (b) i (c) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -107*w + 3723. Determine v(32).\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28 * -0.8.\nAnswer: 22.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zlffpwpfsssss. Give prob of sequence flwz.\nAnswer: 1\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 16*r**2 - 110*r - 1546. Let c be p(-17). Calculate the highest common factor of c and 12180.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 190745.4 to the nearest one thousand.\nAnswer: 191000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 2.27\nAnswer: -1.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - b + 1. Let n(o) = -3*o**2 - 3*o + 1. Let w(r) = r**2. Let s(a) = -n(a) - 5*w(a). Let l = 122 - 123. Calculate l*s(x) - 3*i(x).\nAnswer: -x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 11, i: 5, m: 1, j: 2, t: 1}. What is prob of sequence jni?\nAnswer: 11\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -2\/9 (b) 2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*i**2 - 59*i**2 - 64*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 93?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + 4*a + 2, 2*a + 374 = 73*i - 0*a + 92 - 128 - 44 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.52041890345 and 164.6?\nAnswer: 165.12041890345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 4*n**6\/105 + 4*n**5\/105 - n**4\/12 + n**3\/21 - 4*n**2. Factor y(q).\nAnswer: 2*(q + 1)*(4*q - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1280918?\nAnswer: 2, 131, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -804*w + 7. Let b(j) = -2*j**2 - 126. Determine i(b(u)).\nAnswer: 1608*u**2 + 101311","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4217 or 1?\nAnswer: 1\/4217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*g + 3200 = -85*g. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.421 - 8.721. What is the third smallest value in l, 2, 0, -5.1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/(-36)*1\/(-13)*-1.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*o**2 - 59 + 46 - 6*o**2 + (-1 + 1 + 2*o)*(6*o + 0*o - 4*o) - 3*o**2 + 0*o**2 + o**2 in the form z*o + a*o**2 + n and give a.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -4*i**3 - 339*i**2 + 391*i + 25988. Calculate b(-85).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -9. Suppose -w*d = 5*r - 95 + 30, 33 = 5*r - 3*d. Calculate the remainder when 26 is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - (0 + 1 + (-36)\/10). What is the nearest to -0.5 in r, 0.2, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1796\/1593 + -133586231\/15930. Let f = l + 8393. Let g = 1\/13 - -11\/26. What is the common denominator of f and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*c = 13 - 31, 3*u + 5*c = 60. Let b = 622 - 606. Which is smaller: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 13, w: 5}. What is prob of picking 1 w and 3 k?\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {t: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t. Let z(w) = -2*w. Let l(s) = s. Let k(b) = -15*l(b) - 6*z(b). What is k(d(o))?\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 + 6*p. Let m be z(-3). Suppose -5*h - 4*b + 152 + 115 = m, 2*h = -3*b + 104. Is h a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 3*k = 0, 2*d = -79*k + 80*k for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*c - 17. Let l = 19 + c. Suppose -l*d + 75 - 23 = 0. List the prime factors of d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 25*z - 47. Let u be v(2). Let j(q) = 5*q. Let h be j(1). Solve -c = -h*c + 5*w + 23, -5*w = u*c + 9 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*c**5 - 342*c**4 + 342*c**4 - c**2 wrt c?\nAnswer: 360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.1, 0.68, 1\/10 in decreasing order.\nAnswer: 0.68, 1\/10, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 i when two letters picked without replacement from {l: 1, t: 1, j: 2, i: 1, w: 2, x: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 plus 13146215?\nAnswer: 13146739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2 + 36*r + 3. Let d(j) = -7*j**2 + 96*j + 8. Let k(h) = -3*d(h) + 8*v(h). Let u(y) = 5*y**2 - y**2 + 8*y**2. What is u(k(x))?\nAnswer: 300*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 68\/(-70) + 16 + (-4025)\/245\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*i. Suppose i*l = -5*l. Suppose -r + 6 + 1 = l. Solve -2*d + r = 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16880 and 40?\nAnswer: 16880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 5*d**2 - d**2)*(0 + 0 + 2) - 38*d + 19 - 24 + d**2 + 1.\nAnswer: -9*d**2 - 38*d - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14667533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 392, 0.3 in descending order.\nAnswer: 392, 2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6440 and 68080?\nAnswer: 476560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2 + 76*m - 618. Determine o(-43).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 11 - 3*z + 19 + 10 - 44. Calculate f(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17 - o + 3*o + 38 - 4*o**5 + 32*o**5 wrt o.\nAnswer: 560*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 - 4*u**2 + 7*u + 10.\nAnswer: -(u - 2)*(u + 1)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2 - 6*j + 5. Let b(g) = 27*g**2 - 2. Let p be b(1). Suppose 2*n = -5*k + 37, -3*k - k = -3*n - p. Does 16 divide x(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x + 15*x + x)*(3 - 3 - 2) - 403*x + 201*x - 380*x + (1 - 3 + 1)*(-3*x + 3*x - 2*x) - 3*x + 4*x + x in the form g + o*x and give o.\nAnswer: -604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.87 + 1.38. Let g = a - 2.51. What is the second biggest value in -4, -1, 0.3, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3668425.\nAnswer: 5, 19, 7723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2. Suppose 6 = 2*p - 5*p. Let q be -1*2\/(p\/1). What is the units digit of y(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10.8 and 3342890?\nAnswer: 36103212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 348.5 rounded to the nearest ten?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 7*w**2 - 20*w**2 + w**3 + 8*w**2 + 5*w. Let u be c(3). What is the tens digit of (u - (-12)\/2)*-1 + 120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 31a - -5547?\nAnswer: 5866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -48*(-6)\/(-18) - -16. Put 4, -7, s, 6, -2 in descending order.\nAnswer: 6, 4, s, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -186, -183, -170, -141, -90, -11, 102, 255?\n\"Answer: c**3 - c**2 - c - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -5. List the prime factors of 0 - (-3 + 4\/x).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*l + 14 + 6, 5*u - 15 = 0. Let q(o) be the first derivative of -3*o**2 + 14*o + 40. Is 23 a factor of q(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of 69*x**5\/10 - 41*x**4\/24 + x**3 - 672*x**2. Find the second derivative of f(y) wrt y.\nAnswer: 828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(22) + sqrt(88)\/sqrt(4))\/sqrt(11))**2 + sqrt(2)*3*-6)*1.\nAnswer: -72*sqrt(2) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (420\/24 + -18)\/((-10)\/8)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qttrrrtrttrrtqq. What is prob of picking 3 t and 1 r?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -435*p**5 - 46565*p**4 - 312730*p**3 - 626760*p**2 - 376160*p - 16000 = 0 for p.\nAnswer: -100, -4, -2, -1, -4\/87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -3*z + 201, z + 134 - 19 = 3*x. Suppose -2*r + 37 = -x. What is the common denominator of 4\/(-24)*(r\/8)\/(-1) and -91\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-3)*35793\/2322568.\nAnswer: -3\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*((sqrt(1377)*-1 + -4)**2 - ((1*-2*sqrt(17))**2 - (sqrt(17) - sqrt(68)\/sqrt(4))*-2))*-4.\nAnswer: 1152*sqrt(17) + 21196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 2:42 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/(-162))\/(((-56)\/(-32))\/7). Let p = -0.1 - 0. Which is the closest to 0? (a) p (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 71728 = 3*d, -3*d + 7026 = g - 7310. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 160\/15421717?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144 (base 10) to base 4.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - l + 3*l)*(-10 - 2 + 0) + (5 - 3 - 1)*(2 - 2 - 4*l) - 2*l + 0*l + l.\nAnswer: -53*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x - 2. Suppose 12 = -2*h - 2*z + 4, 11 = -2*h - 5*z. Let u = h + 1. Determine d(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4 + 21177295*g**3 - 127063794*g**2 + 254127604*g - 169418408.\nAnswer: (g - 2)**3*(g + 21177301)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, n: 1, q: 3, j: 1, y: 6, d: 1}. Give prob of picking 2 y.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ncucsscnsg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 15*q**2 + 4*q - 5. Let l be b(15). Suppose -4*f + 4*y + 25 = -l, 4*f + 4*y - 80 = 0. Calculate the highest common factor of f and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18553*y - 159*y**3 + 48*y**3 - 3 - 18551*y to the form s + x*y + m*y**2 + k*y**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/15 - 4\/(-10) - 8. Let p(l) = -l**2 - 10*l - 10. Let w be p(d). Let b be ((-2)\/w)\/(3\/9) + 1. Solve 5*f = -b*f - 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 + 347653635?\nAnswer: 347653621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5618201548?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21891832 is divided by 5472958.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 95096.795 and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 788405 and 645?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -91*m + 87*m. Suppose -30 = 3*h - m*h + 2*b, 5*h - 31 = -3*b. What is the highest common divisor of 40 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 99 + -99.93. Let p = -1.145 - c. Let u = p + 10.115. Round u to zero dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.888 + -0.188. Let x = y - 1.70352. What is x rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29121 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**4 - 5*a**3 + a**2 - 24*a**3 + 4*a + 25*a. Let r(g) = -15*g**3 + 15*g. Let n(i) = 5*r(i) - 3*s(i). Factor n(v).\nAnswer: 3*v*(v - 1)*(v + 1)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5738.138ng to micrograms.\nAnswer: 5.738138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/71 and 21\/197494?\nAnswer: 14022074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -w**3\/3 - 3*w**2 - 6*w - 28. Let p(h) be the second derivative of -h**3\/3 - h**2 + 5*h. Let f be p(2). Give d(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 3 + sqrt(243)*-1)*3)**2 + 2 + -1.\nAnswer: -162*sqrt(3) + 2197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18180853 is divided by 159.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/2)\/i*i*i*i**4)**(-3\/22))**(-8\/5) assuming i is positive.\nAnswer: i**(54\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4163*j**2 + 4163*j**2 + 104*j**3.\nAnswer: 104*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 47*s**3 + 19*s**2 + 2*s + 10. Let p(z) = -34*z**3 - 13*z**2 - z - 7. Give 7*p(g) + 5*q(g).\nAnswer: -3*g**3 + 4*g**2 + 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + d**2 - 4*d**2)*(3*d - 2*d + 0*d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 9*r**2 + 9*r - 5. Suppose 1 + 15 = 2*y. What is the lowest common multiple of 2 and h(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -17, 5477, 14 in descending order.\nAnswer: 5477, 14, 1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 7. Let l = 253 + -255. Put q, l, -3, 2\/9 in increasing order.\nAnswer: -3, l, q, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3636 divided by 4\nAnswer: -909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 6*s + 2*s)*(-9 - 412*s**4 + 9 + 95*s**4).\nAnswer: 634*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56190, -112037, -167886, -223737, -279590?\nAnswer: -335445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3110653 by -1.\nAnswer: -3110653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*o**3 + 13*o**3 - 1 + 1 + 0*o**3 + 3*o**3 - o**3 + (-1 + 4 - 2)*(6*o - 6*o + 4*o**3) + 3*o**3 + 0*o**3 - o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -26*z**2 + 10*z - 357. Let m(i) = -60*i**2 + 22*i - 713. What is 4*m(h) - 9*y(h)?\nAnswer: -6*h**2 - 2*h + 361","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -1\/48*u**4 + 0 + 1\/240*u**5 + 1\/24*u**3 + 0*u - u**2. Factor j(r).\nAnswer: (r - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 16 = 0, -9*x - 22 = -11*x - 3*f. Suppose -y = x*z - 20, 3*y + 20*z - 15*z - 20 = 0. Solve -2*w - 2 - 4 = y for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**20\/c))\/(c\/(c**(-1\/6)\/c)) assuming c is positive.\nAnswer: c**(-121\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.2 - 4.2. What is the nearest to y in 5, -0.08, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 - 51. Let v(z) = 5*z. Determine v(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 1. Let h(r) = -r**2 - 7*r - 3. Let t be h(-6). Let l be k(t). Solve 0 = l*x + x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 13 = -2*b, -2*m + 5*b = -133 + 134 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1362045953 or 1362045954?\nAnswer: 1362045954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 209*o**2 - 24*o + 8. Let q(t) = 3971*t**2 - 462*t + 154. Let r(x) = -77*h(x) + 4*q(x). Let y(g) = -14*g**2. What is y(r(u))?\nAnswer: -611534*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122*-171180.\nAnswer: -20883960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 137, 1473, 3699, 6815, 10821, 15717?\n\"Answer: 445*v**2 + v - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -2601?\nAnswer: 2600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166, -104, 44, 320, 766?\nAnswer: 1424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*z - 8*r + 3 = -4*r - 2*r + 1236, -2*z + 4*r = 54 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/36 + -47 - -81?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9212)\/235 + 3 - -36.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 3:54 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22 + (-264)\/(-550)*-45. Factor 0 + 54\/5*d**2 - 54\/5*d - 18\/5*d**3 + x*d**4.\nAnswer: 2*d*(d - 3)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1362 + -1352 - (-25 + 1).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 8) + 7 + (-5 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425312792?\nAnswer: 2, 53164099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j. Let h(b) = -3*b**2 - 2*b + 2. Let t(s) = s**2 + s - 1. Let u(r) = -h(r) - 2*t(r). What is u(g(q))?\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 12:28 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 2d7d2d9?\nAnswer: 2d7d2dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t**2 + 2 - 6 + t**3 + 3 - 6*t. Let j be u(5). Let w(x) = x**3 + 6*x**2 - 4*x - 8. What are the prime factors of w(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91636?\nAnswer: 2, 31, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 11*p + 155. Let k(u) = -6*u. What is k(t(c))?\nAnswer: -66*c - 930","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 263814 divided by -3\nAnswer: -87938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**5\/10 - 36*r**4 - 1223*r**3\/5 + 4446*r**2\/5 + 23687*r\/10 + 6354\/5 = 0 for r.\nAnswer: -353, -9, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -3a?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1154548?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 - 1 = 5*h. Suppose -23 = h*t + 22. Let a(f) = -f**3 - 5*f**2 + f - 1. Determine a(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/1092767 and 17\/3.\nAnswer: 3278301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 0 - 3\/4*y**2 + 1\/4*y**3 + 0*y = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 0\/(-1 + 2). Let d(w) be the second derivative of 1\/6*w**3 + 0 + 6*w + 0*w**2. Let x(v) = v. What is f*d(n) + x(n)?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 1 = 13. Let n(y) = y**2 - 8*y + 9. Let x be n(r). Let c = 107\/570 + -2\/95. What is the smallest value in 5, x, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 11:24 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - ((-3 + 5 - 6) + 11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.03, 0.3, 1.28?\nAnswer: 1.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*n + 52*n = -93*n + 1540 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 26257*b - 26259*b + 2*b**2 + 3*b**3 + 0 + 4 in the form c + o*b**3 + d*b + s*b**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (51 - 8) + -143 + 75?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 7, -2\/19 in descending order.\nAnswer: 7, 3, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -36*i**2 + 2*i. Let b(h) = -265*h**2. What is r(b(d))?\nAnswer: -2528100*d**4 - 530*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -96*p**2 + 2*p + 202*p**2 - 100*p**2 as o*p + r + i*p**2 and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -93*a - 8. Let x(l) = -31*l - 3. Let z(u) = 4*v(u) - 11*x(u). Is 16 a factor of z(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50390 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t + 75. Let c(x) = -9*x - 148. Calculate 6*c(q) + 11*s(q).\nAnswer: q - 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((49650\/(-3972))\/(2\/4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 3*b - 213, -5*t - 5*b + 332 = 72. List the prime factors of t.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3 + 5*r + 0 + 4 + r**2 - 4*r. Let y(l) = -12*l**2 - 10*l - 10. Let o(w) = -10*j(w) - y(w). Let h(v) = 9*v**2. What is o(h(s))?\nAnswer: 162*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13612968 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/4 of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 9:52 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1168 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -245\/333 + 19\/37. Which is the smallest value? (a) o (b) 1\/14 (c) 14 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8785 is divided by 43?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 3*h**2 - 6*h + 13. Suppose -24 = -4*b + 8*b. What is the tens digit of p(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -121 - 4657*f + 228 - 106 - 7962*f - 11163*f as z*f + w and give z.\nAnswer: -23782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t + 2508. Is 26 a factor of m(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**5 - 3*b**3 - 2*b**2. Let a(m) = -3*m**5 - 13*m**3 - 9*m**2. Let g(v) = 6*a(v) - 26*c(v). What is the third derivative of g(q) wrt q?\nAnswer: 480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*s + 1095*s + 38*s + 620*s.\nAnswer: 1958*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7118 - -64064\/9. Sort 0.3, -505, h.\nAnswer: -505, h, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-1) + (-16184)\/((-44)\/11). Suppose 5*b + 5*f = g, -2*f - 3*f + 20 = 0. List the prime factors of b.\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 4*o - 287. Let l(t) = 190356*t + 190357*t - 380714*t. Determine l(n(v)).\nAnswer: v**2 + 4*v + 287","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*z = -30, -3*u = 2*z + 2*z + 1. Suppose 3*f + 30 = f. Let x = u - f. Calculate the highest common divisor of 20 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4729.5 + -4730. Put -1, -1\/5, q, -2, -3 in decreasing order.\nAnswer: -1\/5, q, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 + 78*a**2 - 375*a - 456.\nAnswer: -3*(a - 19)*(a - 8)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 6340*z**2 - 44318*z - 65. Calculate o(7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of 13*p**4\/12 - 8*p**3\/3 + 2*p. Find the second derivative of g(x) wrt x.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(189) + sqrt(189) + (sqrt(189) - -2*sqrt(189)))\/sqrt(3))\/((sqrt(9) - (sqrt(108)*-2)\/sqrt(12))*3) + -1.\nAnswer: -20*sqrt(7)\/9 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by 12.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 0*b**6 + 0*b**3 + 0 + 0*b**4 - 1\/21*b**7 + 0*b + 19\/60*b**5 - 18*b**2. Find the third derivative of g(q) wrt q.\nAnswer: -240*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 7 - 29. Let g(i) = i**3 + i**2. Let n(l) = -4*l**3 - 3*l**2 - 2. Determine u*g(z) + n(z).\nAnswer: 2*z**3 + 3*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 17 + 0\/(2\/(-4)*2). Calculate the highest common divisor of t and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (2 - 2) - (-10 - -12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33741 is divided by 866.\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 10, e: 9}. Give prob of picking 2 e.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 - 3 + 3)*(2*t + 3*t - 4*t) - 141727 + 141727 - 10215*t**3.\nAnswer: -10216*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 - 0.1. Sort q, -0.5, 1\/7 in increasing order.\nAnswer: -0.5, 1\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -14*m - 13. What is the remainder when v(-4) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30*v**2 - 1 - 3 - 8*v**2 + 6 with respect to v.\nAnswer: 44*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 3*k + 108 = 0. Let x(s) = 115*s**2 + 9 + 124*s**2 - 240*s**2. Let d be x(0). Calculate the highest common factor of d and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -11*f**3 - 4*f**2 + 3*f + 11. Let s be z(-2). Suppose 0 = s*i - 62*i - 12570. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44147 and 1834.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2852)\/(-1740) - 20\/12. Let z = u + -254\/1305. Let x = -20 + 19. What is the nearest to -2 in x, z, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6048) + (5*(sqrt(6048) + sqrt(6048)*-2) - sqrt(6048)) - sqrt(6048))*3)\/(-5*(sqrt(600) - (sqrt(600) + sqrt(600)*-3 + sqrt(600)))*4).\nAnswer: 27*sqrt(7)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 260293*p - 2. Let o be u(2). Suppose o = -4*n + 132584. What is n rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of y**3\/3 - 835*y**2\/2 - 3978*y. Let w(u) = -u**2. Determine m(w(q)).\nAnswer: -2*q**2 - 835","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*s + 114 = 0. Is 1 - 4\/8*s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7078*z**6 + 2*z**2 - 28*z - 1?\nAnswer: -849360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - -24. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1395 + 141 = 32*t. Let w(v) = -4*v - 4. Let a be w(-4). Calculate the greatest common divisor of a and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - o + 1. Let q(c) be the third derivative of 13*c**5\/60 + c**4\/6 - c**3 - 7137*c**2. What is q(d) + 6*v(d)?\nAnswer: 19*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -2*o - 15, o + 4*d = 15 - 55 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventeen sevenths of a week?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 - -16. Let n = -11 - w. Factor -n*y**3 - y**2 + 3*y + 0*y**3 - y**4 + 3 - 1.\nAnswer: -(y - 1)*(y + 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 5*q - 5. Let b be 2\/(-9) + 114\/q. Differentiate -26 + 41 - 22 + b*d**3 with respect to d.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a milligram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10.597 - 10.2. Round j to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35 + -1602?\nAnswer: -1640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 1. Let l be (-14)\/(-21)*(-3)\/2. Let n be s(l). Suppose 2*z - 54 + 18 = n. What is the greatest common divisor of z and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-4))\/((-3)\/2). Let c = 159651 + -159641. What is the third smallest value in c, 2, h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5307158?\nAnswer: 2, 23, 113, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 11*b. Let z = -4545 - -4547. Let q(t) be the second derivative of -22*t + 0*t**z + 0 + 1\/3*t**3. Calculate q(k(g)).\nAnswer: 22*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82*u**2 - 99*u**2 + 2 + 0*u + 23*u**3 + 179*u**2 - 6*u to q*u + z + d*u**2 + p*u**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, -1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -49 + 39 - -20\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z - 52 = -9*z - 72, -2*z - 2 = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (20 + 26*j - 21 + 16*j)*(-14*j**3 - 15*j**3 + 0*j**3) in the form r*j**4 + s*j**3 + q + i*j**2 + o*j and give s.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3747*w + 1043*w + 1854*w)*(-10*w**2 + 227*w**3 + 10*w**2 - 307*w**3) to q + k*w**2 + n*w + h*w**4 + p*w**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q - 15. Give v(18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 178731?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -300 + 337. Which is smaller: p or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 4. Let d = -13.9 + -1.3. Let k = -15 - d. What is the closest to k in r, -0.3, -1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.9 - -7.3. Let x = -1.6 - h. Which is bigger: 2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 2*j + 2. What is the units digit of a(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g**2 - 21*g + 106. What is u(7)?\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -15*j**5 + 65*j**4 + 1190*j**3 + 2440*j**2 - 1760*j - 1920 = 0.\nAnswer: -4, -2\/3, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7714\/(-11020))\/((-1)\/50) - 38.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -207787\/2429 and -86 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w + 18. Let m be q(17). Which is the fourth biggest value? (a) m (b) -0.2 (c) -2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13\/1 + (5 - 1)\/2. Let b(v) = -6288*v**3 + 10*v**2 - 20*v + 50. Let j be b(z). Round j to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 496*n**7\/7 - n**6\/6 + 56*n**3\/3 - 4*n + 809. Find the third derivative of g(t) wrt t.\nAnswer: 59520*t**3 - 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -10*o + 16. Is x(-4) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -3\/5, 2 in decreasing order.\nAnswer: 2, -3\/5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*21\/(-28) - 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(4\/14 - (-310)\/(-350)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -17.1. Is -12\/17 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + r - 5. Let m be o(8). Suppose 1530 = -m*s + 64*s. Round s to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence assa when four letters picked without replacement from {a: 2, s: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -956 or 457975?\nAnswer: -956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4525032 (base 9) to base 15.\nAnswer: 3324a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15479246 is divided by 157?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, a: 1, u: 9, s: 5}. Give prob of picking 1 s and 1 a.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**13*m**(1\/2)*m**(-8)*m*m**5*m*m*m assuming m is positive.\nAnswer: m**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-4))\/(27\/72)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/90*(-6)\/(-4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 - 25342315?\nAnswer: -25342323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67 - 62. Suppose -m*p = -11 - 34. Suppose 24*u - 25*u + p = 0. Solve -4*i + 3 = -u for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1584) - sqrt(1584) - (sqrt(11) + 1 + -1)) + -2)**2*3.\nAnswer: 12*sqrt(11) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 131*z + 39. Let o be q(20). Suppose -579 = 8*r - o. Round r to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32323535 (base 6) in base 15?\nAnswer: 13e62b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.033391 to 2 decimal places.\nAnswer: -3.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (455\/60)\/13 + 2\/(-3).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -7*m**2 + 6*m + 6. Let j(i) = i**2 - i - 1. Let z(l) = -6*j(l) - y(l). Let v(b) be the second derivative of 2*b**3 - 2*b. What is z(v(c))?\nAnswer: 144*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.01 (b) -1.3 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 294172 (base 10) to base 6.\nAnswer: 10145524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 64, 286411 - 286397 = -n + k for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9140.888 * -120\nAnswer: -1096906.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 278f (base 16) in base 11?\nAnswer: 7677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 10:45 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 2. Let s be t(-6). Suppose s*c = 9 + 3. Let g(r) = 2*r**2 + 2*r - 3. Is 11 a factor of g(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in -1, 9, -31\/12?\nAnswer: -31\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-291)\/(-582) - ((-18)\/4 - 0). What is the greatest common factor of 1315 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 + 12*w - 4. Let f(u) = u + 1. Give -c(r) + 10*f(r).\nAnswer: -2*r**2 - 2*r + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1177 and 6248.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 38 - 60. Let j be 48\/b - (-4)\/(-22). Is j at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r + 8. Let w be f(-6). Let a = 3 - w. Suppose n = -3*n - 3*j + 79, 3*j = 5*n - 65. Solve n = 4*k, -3*h - a = -3*k + 11 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, -3\/8, -0.0102, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -559 divided by -1\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**2 - z**4 - 2*z**2 + (2*z**3 + 3*z**3 - 2*z**3)*(-26 + 26 - 5*z)*(-18 - 8 + 49) in the form o + s*z**4 + u*z**3 + a*z**2 + v*z and give s.\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 119 - 120. Is -2637 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/27 (b) -0.5 (c) -4 (d) 1 (e) 130\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 7:34 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2\/9 + 2281208*v\/9 + 3801980\/3.\nAnswer: 4*(v + 5)*(v + 570297)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 224, 1843, 6250, 14843, 29020?\n\"Answer: 233*q**3 - 4*q**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -727792 and -53.\nAnswer: 38572976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6002085014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55027809 is divided by 7861115.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 523326839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.587 - 0.413. What is the smallest value in -0.3, v, 243?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z**3 - 5*z**2 + 5*z + 4. Let b(r) = 5*r**3 - 4*r**2 + 4*r + 3. What is 5*b(u) - 4*f(u)?\nAnswer: 5*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 10*w**3 - w**2 + w + 1. Let i be (-1*(3 + -2))\/1. Calculate m(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 - -28. Let h be (64\/6)\/((-2)\/m). Suppose 0 = -3*p, -p + h = 4*f + 3*p. Solve y = f*o - y + 14, -2*y = -2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -231353 + 231363.4769. What is a rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 8*l. Let n(z) = -3*z - 2. Let s(c) = -c**3 + 5*c**2 - 6*c + 14. Let x be s(4). Let f(y) = 10*y + 7. Let v(j) = x*f(j) + 21*n(j). Determine v(w(r)).\nAnswer: -24*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(2\/7))\/b)**(5\/14))**(-47)*(b**(4\/7)\/(b**10*b))**10 assuming b is positive.\nAnswer: b**(-4875\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + 2*o + o - 1 + (23*o - 22*o - 99*o)*(2 - 2 - 2).\nAnswer: 198*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 11 = 2*i, 5*i - 5*x + 2*x + 4 = 0. Which is greater: i or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 24*u**4 - 9*u**3 - 10*u**2 + 14. Let p(v) = -v**4 + v**3 + v**2 - 1. Let i(m) = 30*p(m) + 2*y(m). What is the third derivative of i(z) wrt z?\nAnswer: 432*z + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1633484 + -b?\nAnswer: -1633492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 9828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -96 - -138. Let j = 6 + 16. Calculate the least common multiple of a and j.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -184, -353, -520, -685, -848, -1009, -1168?\nAnswer: -1325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 144190802*m**2 - 446*m + 4719 wrt m.\nAnswer: 288381604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77567, -155137, -232709, -310283?\nAnswer: -387859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 1 = -2. Is -381*((-4)\/(-6) - z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 419 or 39746\/95?\nAnswer: 419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 9*x**2 - 10*x + 4. Let g = -25 - -15. Determine y(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -52 (c) -1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-154)\/(-21) + (-5 - 5)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10526 = -2*z + 2*a, 10532 = 2*z - a - 4*a. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 x when two letters picked without replacement from {d: 3, e: 3, p: 1, x: 5, w: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, i: 2, g: 10, x: 4}. What is prob of picking 1 x, 2 p, and 1 g?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 58 + 51 - 109 + 25*m**2. Let l(a) = -11*a**2. What is l(q(s))?\nAnswer: -6875*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -24648*y + 492990. Calculate z(20).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -13*f**2\/3 - 2344834*f\/3 + 120248 = 0.\nAnswer: -180372, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -1524870?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7512.76 + 1.14?\nAnswer: 7513.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 3*h + 75, 157 = -3*m - m + h. Let j = -37 - m. Let a be (-11)\/j + (-6)\/12. Let l(r) = -3*r - 7. Let i(w) = -3*w - 6. What is a*i(p) + 5*l(p)?\nAnswer: 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 5*a - 4. Let y be h(-6). Let p(f) = -7*f - 3*f + y*f. Let s(i) = -2*i**2. Determine p(s(z)).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 368239.\nAnswer: -7\/368239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 90 = 882. Calculate the common denominator of 58\/r - (-18)\/(-108) and (-1)\/1 + 84\/(-27).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 697 + -318. Let y = d + -371. Solve -2*l = -b + 4, l + y = 3*b - b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q\/(q\/q**(-1)))\/q*q)*q)**(-7)\/(q**(-11)\/q**(14\/5)) assuming q is positive.\nAnswer: q**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 88*n**5\/13 - 170*n**4\/13 - 8196*n**3\/13 + 23202*n**2\/13 + 1620*n\/13 = 0?\nAnswer: -10, -3\/44, 0, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/2, 3, 357076 in descending order.\nAnswer: 357076, 3, -11\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 1)*(-110 - 32 + 74 + (2 - 3 - 1)*(5 - 4 + 1) + 0 + 2 - 4)*(-y - 4*y + 4*y)*(1 - 5 + 3) to the form u + m*y and give m.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 57083.9 and 1.\nAnswer: 57083.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1539617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*a - 145 = 0, -7*p + 3*p = -4*a + 260. Let f = 107 + -41. Let h = p + f. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 11:21 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k - 8. Let v be g(-5). Let d be ((-4)\/8)\/(v\/1716). What is the highest common factor of d and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/708278 and -57\/2?\nAnswer: 708278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 930 and 684015?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 - 38. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 148 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, x: 7}. Give prob of picking 1 x and 1 i.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353999?\nAnswer: 79, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -305 divided by 5\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, b: 3, y: 2, i: 5, d: 1}. What is prob of sequence ye?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 37 - 71*l**2 - 23.\nAnswer: -71*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -12\/47220553?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 23*y**2 - 20*y + 50. Is 17 a factor of z(22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -7*f - 2*f**3 + 7*f**2 + f**3 - 11 + 10. Let v be b(5). Suppose 0 = -4*d + 66 - v. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, s: 8, c: 6}. Give prob of picking 1 s and 1 p.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -564 - -793. What is the remainder when f is divided by 34?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -111*o + 5. Is 77 a factor of g(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 2 + -2)\/2. Suppose -3*x + o*x - 15 = 0, -5*r - 5*x + 240 = 0. Is 4\/10*(r + 7) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -30 - 12. What is the lowest common multiple of m and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + n**2 - n + 9. What is the remainder when p(0) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -38*p - 377 + 437 + 2*p**2 + 11*p. Let q be d(13). Is q greater than 48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*l + 2*m, 5*l + m + 41 = 8. Let s = 11 + l. Suppose -s*j = 5*t - 57 + 12, 0 = -2*j - t + 13. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2)\/a*((a\/(a*a**(5\/7)*a))\/a)\/a)\/((a*a**(-6\/11))\/(a*a*a\/(a\/a**(-1\/12))*a*a*a*a)))**2 assuming a is positive.\nAnswer: a**(-1157\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1852889 and 4.\nAnswer: -7411556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/((-25344)\/612)*2*(-2)\/(1\/(-1))?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4.012761km?\nAnswer: 401276.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -10. Let t = -5.99 - z. Let i = -0.11 + t. Is i less than 3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 25 - -8) + (5 - 2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*v - 8. Suppose i = -8 - 1. Let s(b) = 4*b + 11. Let m(g) = 2*g + 5. Let f(l) = i*m(l) + v*s(l). What is f(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 639 = 3*n + 3*r, 5*n + 2*r + 411 = 1464. Suppose 206*g + 315 = n*g. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 2*o - 9*o)*(-4*o + 3*o - 3 + 1)*(-2 + 4 + 0).\nAnswer: 14*o**2 + 28*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-4)\/(-3))\/(42\/9))\/(168\/98). Let s(v) be the third derivative of -1\/30*v**5 + 0*v**4 + l*v**3 + 4*v**2 + 0 + 0*v. Calculate s(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 28 = 4*i, v - 34 = -4*i - 0*v. Suppose 3*p - 2*r + i = 3*r, 0 = -2*r + 6. Factor -2*j**2 - 3*j**p - 6*j - 2*j**3 - j**2 - 2.\nAnswer: -2*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4\/7 - 4*g**3\/7 + 2*g**2\/7 + 4*g\/7 = 0. Calculate g.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 2*s**2 - 5)*(2 - 5 - 2) to t + d*s + u*s**2 and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 - 37. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 13 - 9 = 0. Let j be (-12)\/3 - (3 + g). Solve -2*r + t - 2 = -0*r, -4*r - j = -5*t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*(sqrt(300)\/sqrt(294))\/((sqrt(110) - (sqrt(110) + 4*sqrt(110) - sqrt(110)))\/sqrt(11) + sqrt(10))*-4 + 0.\nAnswer: 2*sqrt(5)\/7 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3611 = -17*s + 20*s, w - 1212 = -s. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -529 and -282022.\nAnswer: 149189638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 2*y = 28, -4*q + 2 = -q - y for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526398843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 7*s**2 + 7*s + 10. Let w be j(8). Suppose -3*m + 212 = 4*l - w*m, 5*m - 176 = -3*l. Calculate the greatest common factor of l and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 63*d + 53*d**2 + 3*d**3 - 57*d**2 + 66*d - 5*d**3 - 82*d. Determine p(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) -5\/8 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9506)\/30 + 1\/5. Let k = -677\/2 - w. Calculate the common denominator of 39\/7 and k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 7*r**2 + 2. Let z be g(-7). Let a = 2 - z. Find the second derivative of w**5 - 2*w + a*w**5 + 3*w wrt w.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**2 + 4*f**2 + 4*f**2 + (3*f - 4*f - f)*(2*f - f - 3*f) - f**2 + f - f + (0*f + 3*f - f)*(-6 - 2*f + 6).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -17 (b) -87\/4 (c) 2\/23 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 33. Suppose 339 = -n*v + 31*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13108+2.8\nAnswer: 13110.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*c + 79*c + 87 + 39 = 0. Suppose -2*p - 4*b = 6, 4*b = -0*p - 4*p. What is the highest common divisor of c and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1348 is divided by 85?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28*b*w**2 - 135197*b + 11*w**4 + 29*w**2 - w with respect to w.\nAnswer: 56*b*w + 44*w**3 + 58*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3142 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-2)*a)**(2\/11)\/(a**0)**(-11))\/((a**(2\/9))**(-13))**(-5\/7) assuming a is positive.\nAnswer: a**(-130\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -85752318.56 rounded to the nearest one million?\nAnswer: -86000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 952 is divided by 76?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 370649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 28*z**2 - 8*z**2 + 14*z**2 + 23*z**2 in the form n + d*z + r*z**2 and give r.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1324, 1298, 1254, 1192, 1112, 1014, 898?\nAnswer: 764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*t + 24*t = 195. Let z = t + 61. Is ((34\/8)\/1)\/(z\/(-304)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4686 in -2, 387, -0.2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78036, -78026, -78018, -78012, -78008, -78006?\nAnswer: -78006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (25 + (-77)\/3)*1\/2. Which is the second smallest value? (a) 1185 (b) 0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 5 + 25 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 111?\nAnswer: -5\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c*l**4 + 4*c*l**3*u + 6*c*l*u - 19*c - l**4 wrt l?\nAnswer: 12*c*l**2 + 24*c*l*u - 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + -2)\/(-2 - (-1 + 1)). Let f = 829 + k. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4311361*1\/6*6. Let k = 161361 + x. What is k rounded to the nearest 100000?\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3*b + 8, -5*a + 4*b - 3 = 3. Suppose 2*y = 3*y + a*v - 27, 2*y = v + 34. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20805588.\nAnswer: 2, 3, 31, 103, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 157692*q**2 + 160158 with respect to q.\nAnswer: 315384*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3 = -1. Suppose 84*y = 42*y - 135*y. Put y, -3, u in decreasing order.\nAnswer: y, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -145*t + 2848. List the prime factors of b(-38).\nAnswer: 2, 3, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36638*t**3 - 36923*t**3 + t + 73367*t**3.\nAnswer: -194*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/195 and -66\/3913.\nAnswer: 58695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uululslulllluulullll.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4 + 1 + 2 + n**2. Let k = -12 + 14. Let v be g(k). Solve -3*d + 24 = -3*q, v*q + 3*d - 11 = -d for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -82 + 82 - 14*v + (1 + 3 - 2)*(-3*v - v + 5*v) - 6*v + 3*v + 4*v + 27 - 27 - 12*v - 3*v + 2*v + 2*v.\nAnswer: -22*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 56 = -133. Let w be 90\/14 + l\/(-63) + -4. Solve 2*p = 8, -2*p - 20 = -w*a - 5*p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 4) in base 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 3. What is the remainder when (-6)\/b*-7*1 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 353 - 352. Which is the fourth smallest value? (a) 3 (b) -0.6 (c) -3 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 160\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 32397*q**3 - 38051?\nAnswer: 97191*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 3. Let l be 9\/c - 11\/44. Let n be (-4 + (0 - -3) - l) + 17. What is the highest common factor of 70 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*t + 10, 3*g = -5*t - 22. Let a(k) = -k**3 - 3*k**2 - 3*k + 4. What are the prime factors of a(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2444, -9496, -21250, -37706?\nAnswer: -58864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*y - 13. Calculate the least common multiple of 7 and y.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) 0.4 (c) 0.3 (d) 0.1 (e) 3 (f) 0 (g) -35805\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 18*b**2 + 42*b - 81*b + 39*b.\nAnswer: -18*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -55.4.\nAnswer: 55.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 20700?\nAnswer: 144900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 436 a factor of 62348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -13. Factor -3060 + 3*g + 3060 - 6*g**2 + 3*g**y.\nAnswer: 3*g*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -61 (b) 1 (c) -2 (d) -47 (e) 94 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2085?\nAnswer: 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 44 = 2*o, 2*o + o - 228*j = -242*j + 82 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31\/58 - 1\/29. Factor 3\/2*s**3 + 1\/2*s + d*s**4 + 0 + 3\/2*s**2.\nAnswer: s*(s + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 192259.5km to meters.\nAnswer: 192259500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -8, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*k + 154. Suppose 2*a - 5 - k = 0. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/191220 (b) -0.11 (c) 2\/13 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 46*n - 43*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*d - 2 - 4125*d**5 + 3 - 19 + 4565*d**5 wrt d.\nAnswer: 8800*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5*b - 7. Let u be t(2). Solve 59 + 1100*g + 546 + 44*g**2 - 100*g**3 + 2*g**4 + u*g**4 + 346*g**2 = 0.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 4277.\nAnswer: -5, 3, 4277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 14*p**2 - p - 1. Let d be 3\/12 + 5\/(-4). Let k(z) = -4*z. Let n be k(d). Suppose 0 = 4*o + n*o + 8. Determine q(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -163*l + 1088. Calculate f(7).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15531 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11100 (base 2) to base 12\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2319*p**2 + 4003*p**2 - 7665*p**2.\nAnswer: -5981*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3318 and 205425122.\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1505690700 divided by -4?\nAnswer: 376422675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-9))**(14\/11)*(b**(-4)*b)**42 assuming b is positive.\nAnswer: b**(-1512\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 394 and 2980.\nAnswer: 587060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 77*y**2 - 70*y**3 - 77*y**2 + (0*y + 2*y**2 + 0*y)*(y - 4*y + 5*y) + 4*y**3 - 2*y**3 - 3*y**3 + (-y + 0 + 0)*(2 - 2 - 2*y**2).\nAnswer: -65*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 20*a - 3220 = 0. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, 4, 147, 418, 859, 1512, 2419, 3622?\nAnswer: 5163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 + 28*f**2 + 40*f - 64.\nAnswer: -4*(f - 8)*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 8:30 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5306 + -5306.5. What is the biggest value in h, 0, 0.4, -0.4, -66\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -1790571.\nAnswer: -8\/1790571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -3*a, n + 3*a + 4 = -11 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (108\/(-15))\/(51\/(-340)). Suppose y*s = 59*s - 2453. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 665660*h**5 - 14*h**2 - 42047257*h?\nAnswer: 13313200*h**3 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2396541 a multiple of 311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -53*k**2 - 44*k**2 + 390*k**2 + (-4*k + 4*k - 2*k)*(2*k - 1 + 1) + 1 + 1 + 3*k**2 - 6*k - 5*k**2 + 8*k.\nAnswer: 287*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2*sqrt(110))\/sqrt(11) + sqrt(50)\/sqrt(80))\/((-3*sqrt(220))\/sqrt(11))*2.\nAnswer: -9*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -894, -912, -960, -1056, -1218, -1464, -1812?\nAnswer: -2280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 4*a - 1. Let d be l(-4). Let n be 6\/15 + (-44)\/10. Let c be (2\/(-5))\/(n\/(-20)). Which is greater: c or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3430 + 21*p**2 - 6857 + 3427.\nAnswer: 21*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-1)*(-3)\/(-3)*-9\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = m + 2*c + 2, 2*m + c = 2. Suppose 0 = m*b + 2*w - 14, -2*b - 8*w = -3*w - 20. Suppose b*s = -0*s. Solve s = 4*d - 2*o, 7*d = 2*d - o - 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 - -45. Suppose 3*q = 4*f - 4, w = -5*q - 0*f + 4*f - 4. Solve -2 = u - q for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1990262404 to the power of 1\/4, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 8*j**2 - 9*j + 5. Let v be i(-9). Suppose v*d - 1 = 4*d. Is d bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5\/14 - -1\/2. Let w(n) be the first derivative of 2\/21*n**3 + 3 + 0*n + a*n**2. Suppose w(v) = 0. What is v?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.102326112 and -0.25.\nAnswer: -0.147673888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61856548 to the nearest integer?\nAnswer: 7865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*f**2 - 872*f**3 + 437*f**3 + 439*f**3.\nAnswer: 4*f**3 - 34*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -36242*a + 10 + a**2 + 36256*a + 17. Give x(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of x**6\/15 - x**3\/2 + 5*x**2\/2 + 3. Let r(s) be the second derivative of o(s). What is the derivative of r(y) wrt y?\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 6*a - 7. Let p = -194 + 189. What is u(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 220, 367, 520, 679, 844, 1015?\nAnswer: 1192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10540 (base 6) in base 5?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 96*g**4*j - 22638*g**3 - 43*g**2*j - 2*g - 1390*j wrt g?\nAnswer: 2304*g*j - 135828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12584, -12589, -12594, -12599?\nAnswer: -12604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4*(4 + sqrt(405)) + sqrt(405).\nAnswer: -27*sqrt(5) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h**2*i*x**3 - 13223*h**2*i*x**2 - 60*i*x - 2*x**3 + 212*x**2 wrt h?\nAnswer: -2*h*i*x**3 - 26446*h*i*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -15. Let o(r) = r**3 - u + 5 + 0*r**3 - 3*r**2 + 0. What is o(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5674208 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 minus 0.158?\nAnswer: -1.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -13 + 5 - -31.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.5272 * 0.3\nAnswer: -0.45816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 10:46 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + -18. Let o = 27 + p. Which is the nearest to 2\/3? (a) -3 (b) o (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.1, 3, -0.019, -5 in descending order.\nAnswer: 3, 1, -0.019, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7687057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3487*z**4 + 3986*z**2 wrt z.\nAnswer: -83688*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i*i**(1\/3)))**(1\/41)\/(i**(-6)*i*(i*i*(i\/(i**(-8)\/i))\/i)\/i) assuming i is positive.\nAnswer: i**(-613\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 151435043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/285 and -19\/591?\nAnswer: 56145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16833919727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 1 = -4*f. Suppose 2 = 2*p - g, f*g + 1 = 3*p - 0. Which is the closest to -0.1? (a) 1 (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11077.\nAnswer: 11, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**2 - 1 + 4*a**2 - 2 + 4 - a**3 in the form v*a + y*a**2 + x*a**3 + d and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**3 - 3*o**4 + 0*o**3 + 59*o - 59*o + 9*o**4 + (0*o**3 + 2*o**3 - o**3)*(-4*o + o + o))*(-2*o + 2*o - o) + 2*o - 2*o + 2*o**5.\nAnswer: -2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + x + 34 = 0, -o + 38 = -3*x + 16. What is the remainder when 25 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -k - 48, -5*p - 2*k + 73 = -38 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1599\/(-507) - -3) + 38\/78?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/8, -5, 1\/3, -10\/31, -5.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -192*q**5 + 336816*q**4 + 132885804*q**3 - 33263547*q**2 - 8305362*q + 2077656 = 0. Calculate q.\nAnswer: -332, -1\/4, 1\/4, 2086","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 - 0)\/(2\/(-136)) + 4 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -1 - 244*123\/12*-13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**2 - 90*z - 675 = 0. What is z?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31738*b**2 + 31738*b**2 + 343*b**3.\nAnswer: 343*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -0*x + 15. Let z = 965278 + -965279. Let h be (2*(-1)\/(-2))\/(-1). Which is the closest to h? (a) z (b) x (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 2:58 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 571 = 2*a, 0 = 7*a - 2*a - n - 1429. What are the prime factors of 26364\/a + 2\/(-11)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*g + 213*g = 100*g - 418 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3070340315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 1)*(8*o - 12*o + 5184 - 5179 + 113*o**4) to the form x*o**2 + f*o + w*o**3 + i + d*o**4 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/12*(-8)\/(-14). Suppose -17*g + 4*g = 6149. Let o be (2\/8)\/(g\/44 + 11). Is o less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 6*i. Let y(s) = 5*s + 9*s + 0*s - 13*s. Let r(v) = -u(v) + 6*y(v). Let n(f) = -f. Give n(r(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 240486*z - 87525 with respect to z.\nAnswer: 240486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29115 + 142188*c - 142192*c - 29115.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -6. Let j = -12 + t. Let c be 1*3*5\/j. Let m(h) = 10*h**2 + 2*h + 1. Calculate m(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*i + 28875 = 217*i. List the prime factors of i.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9490408 a multiple of 337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**8\/672 + a**7\/420 - a**6\/40 - a**5\/30 + a**4\/6 + 35*a**2. Find w, given that l(w) = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g - 33. Calculate the remainder when 9 is divided by u(19).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -75 > -74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5162? (a) -68\/9 (b) -3 (c) 5 (d) -5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -201, 4, 3, -5, 1 in ascending order.\nAnswer: -201, -5, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 42\/9*-6*3\/(-4). Let z be (22044\/a - 4\/(-2))*7. Suppose z = 24*v - 15*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8019, -32063, -72135, -128235, -200363?\n\"Answer: -8014*r**2 - 2*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 195*s. Let r(j) = -8*j**2 - 6*j. Calculate l(r(d)).\nAnswer: -1560*d**2 - 1170*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5943, -11920, -17871, -23784, -29647, -35448, -41175?\n\"Answer: 2*b**3 + b**2 - 5994*b + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14800441 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**2 + 0*n**2 - 6629 + 1448 + 1734 + 1715 + 1732 - 2*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 divided by 11?\nAnswer: 47\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*u**4 - 11*u**3 + 11*u**3 + (-3*u**2 - 4*u**2 - 5*u**2)*(-1 + 1 - 2*u**2) + u**4 + 3*u**4 - 3*u**4 + 0 - 2*u**4 + 0.\nAnswer: 16*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 12:57 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1093, -2220, -4017, -6484, -9621, -13428?\n\"Answer: -335*k**2 - 122*k - 636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + -11565261?\nAnswer: -11565253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 399*f - 6784 = 13*f - 38*f for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k. Let x(h) be the first derivative of 5*h**2\/2 + 73. Determine x(v(q)).\nAnswer: 25*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -364 divided by -5\nAnswer: 364\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -184037 (base 10) to base 4.\nAnswer: -230323211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 865*(-3 - 1191\/3). What is v rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(63)*1*-6)\/(-1*sqrt(81)).\nAnswer: -5 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-66) - ((-294)\/(-168) - (-85)\/(-44)). What is the second smallest value in -217\/3, p, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14.854 - 3.146. Put -5, r, -0.5, -3\/8 in decreasing order.\nAnswer: -3\/8, -0.5, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvmv when four letters picked without replacement from vvvvvvmvvvm?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34502520 divided by 680.\nAnswer: -50739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15880, -31753, -47622, -63487, -79348, -95205, -111058?\nAnswer: -126907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 21*h**3 + 11*h**2 - 16*h + 11. Let k(n) = -4*n**3 - 2*n**2 + 3*n - 2. Let x be -1*(-27)\/(-3) - 2. Suppose -3*t - 9 = -3. Give t*m(w) + x*k(w).\nAnswer: 2*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 737 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12759, 12881, 13035, 13221, 13439?\n\"Answer: 16*n**2 + 74*n + 12669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -653551, -1307104, -1960657, -2614210, -3267763?\nAnswer: -3921316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from wwcwwwwwwwwww?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/9 - (-10)\/45. Let i(x) be the first derivative of -1\/4*x**v + 1\/5*x**5 + 0*x - 3\/4*x**4 - 1 + 3\/4*x**3. Factor i(z).\nAnswer: z*(z - 2)*(2*z - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by 897.\nAnswer: -22\/897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4*q + 3 = 2, m = -4*q - 3. Let b(x) = -3 + 2 - 12*x + 102*x. Is b(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2. Let i(h) be the second derivative of 0*h**3 + 0*h**2 - 19\/6*h**4 + 2*h + 4. Calculate i(v(f)).\nAnswer: -152*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -114\/7 + 8636\/385. Is 5 >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 37*c + 289. Let v be f(-11). Solve 2*b + 3 + 9 = v*k, -4*k + 16 = -4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, k: 3, g: 3, y: 4, t: 2, d: 2}. What is prob of sequence df?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 + 1095*b**3 + 1102*b**3 + 8*b - 3296*b**3 - 5 - 1 + 1096*b**3 to f*b**2 + y*b**3 + t + m*b and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * -107\nAnswer: -64.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5787 - -5862. What is the highest common divisor of 5850 and z?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -28, -20, -12?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9263\/162282 - -2\/1887. Which is smaller: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - 3 - -6 - (2 - 13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26.5 + -22.52. Let v = -0.02 - u. What is the third biggest value in 0.05, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -2) + (-21 + 48 - 19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 6*l**2 - 3*l. What is the units digit of g(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -524591*b + 254906*b + 247927*b to s*b + a and give s.\nAnswer: -21758","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 131*f - 135*f + 2*i + 37630, -2*i - 47035 = -5*f. Is f a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*b + 0*b = -19, -15 = -4*j - 5*b. Suppose 0 = -2*a + 2*h + 16, 0 = 3*a - 5*h - 39 + j. Suppose -v = -a*v + 44. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 + -28. Let h(n) = 30 + 0*n**2 + 3*n - 14*n - u + n**2. Let y be h(13). Solve -4*v = l - 33 + 8, -5*v = 4*l - y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20176838329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 7 - 3*v + v + v + v + (-2 + 4 - 3)*(-3 + 3 + v) + 4*v + v - 3*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/1347 and -20\/605701.\nAnswer: 1817103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 11*g**2 - 3. Let o(y) = -13*y. Determine l(o(v)).\nAnswer: 1859*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*q = 117, 7*l - 2*q - 244 = 5*l. Let x = l + -95. What is the highest common divisor of 24 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21927 - 12263. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14327 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-158)\/(-158)*(-3780)\/35.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/((-9)\/(-6)) + -1. Let j = g - -1. Suppose -j*x + z = 3*z - 16, -3*z - 24 = -5*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-1\/11)*s**(1\/9)\/s*s**(-2\/7)*s**(1\/5)\/s assuming s is positive.\nAnswer: s**(-3062\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5\/4)*d*(d**(-1)*d)\/d*d*d*(d**(5\/3)\/d*d)\/(d\/(d\/(d**5*d))))**(-6\/17) assuming d is positive.\nAnswer: d**(43\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 17 = 4*g, 173866*z = -3*g + 173871*z - 19 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3351.\nAnswer: 3, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -u**5\/40 + u**4\/24 - u**3\/6 + u. Let s(l) be the second derivative of v(l). Differentiate s(r) with respect to r.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/124 and 123\/430.\nAnswer: 26660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15*25\/135)\/(((-1476)\/41)\/(-108)).\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(350) + -1*sqrt(350)*2)\/(sqrt(7)*-1*4))\/(2*(sqrt(1000)*-2 - sqrt(1000)) - (-6*-1*sqrt(1000) + sqrt(1000))).\nAnswer: -4 - sqrt(5)\/520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8549 - 8529. Which is the fourth biggest value? (a) -1.8 (b) 2 (c) k (d) 4 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.37 in 0.2, -1.3, -1\/4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6035 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1608\/11 + -146. Let g = 0.694 + -0.794. What is the nearest to 3 in g, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000016966344893 rounded to 7 dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -169*g**3*h**2 + 2*g**3*h - 25*h**2 wrt g.\nAnswer: -507*g**2*h**2 + 6*g**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)*-1)\/sqrt(3) - (sqrt(20) + (sqrt(20) - sqrt(80)\/sqrt(4)))\/sqrt(4).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -1. Let d(h) = -3*h**2 - 4*h + 2. Determine d(f) + 4*m(f).\nAnswer: -3*f**2 - 4*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - -1. Let b = z + -6.5. Sort 1, -0.3, b in decreasing order.\nAnswer: 1, b, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6081357*b**2 + 16074043 wrt b.\nAnswer: -12162714*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112 - 413?\nAnswer: -1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/25)*n**(-12)*(n\/(n*(n*n**(2\/21)*n)\/n))\/n**(-1\/3) assuming n is positive.\nAnswer: n**(-6742\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14a78a2 + 3?\nAnswer: 14a78a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - ((1 - -4) + -5 + -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of 5*d**3\/3 - d. Let o(k) be the second derivative of 0 + 1\/3*k**3 + 0*k**2 + 5*k. What is o(n(g))?\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/36960 and -27\/1890350?\nAnswer: 90736800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*c**3 - 32*c**3 - 20*c**3.\nAnswer: 15*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 18*g - 1919. Let j(u) = 13*u - 1280. Determine 7*j(o) - 5*v(o).\nAnswer: o + 635","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.4 + 8. Let t = -0.9 + a. Let h = -0.5 - t. What is the third biggest value in h, -2, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -17 and 49168240298860.\nAnswer: 49168240298843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n**3 - 4*n**2 + 9*n - 4. Let v(f) = 3*f**3 - 4*f**2 + 7*f - 3. Let k(p) = -4*u(p) + 5*v(p). Give k(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -99\/40 + 21\/10. Let u = 20 + -25. What is the third biggest value in u, 3\/5, z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6447, -27351, -62223, -111069, -173895, -250707, -341511, -446313?\n\"Answer: -v**3 - 6978*v**2 + 37*v + 495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z*z\/z**(-1)*z*z))\/(z**(6\/13)\/z)*(z*z**(2\/5))\/z*z*z\/(z\/z**(-2\/5)*z)*z assuming z is positive.\nAnswer: z**(-19\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280665 = -44*j + 281545 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 144475363*f**3 + 139377622*f**2 wrt f.\nAnswer: 866852178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, i: 4, c: 2, u: 1, q: 1}. Give prob of sequence qw.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18\/(-16))\/((-165)\/100). Let x = 3\/44 + f. Suppose 4*k + 4*k = -16. Which is the closest to 6? (a) 4 (b) x (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.12 or -7.23?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*k*o*w - 47*k*w + 3*k - 6*o*w - 3*o + 64*w wrt o?\nAnswer: -8*k*w - 6*w - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75072 and 3128.\nAnswer: 75072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*(23 - 9 + 8)*(m + 3*m - 2*m - 2*m + 3*m + 2*m + (-2*m - 2*m + 2*m)*(2 - 3 - 1) - 6*m - 5*m + 4*m).\nAnswer: 44*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 38*c**2*x - 1162*c**2 + c*x - 104*c + 529*x wrt x?\nAnswer: 38*c**2 + c + 529","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8824537 is divided by 4412262.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 728\/(-128))*(-55188)\/3577?\nAnswer: 81\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5. Let i(t) = -1. Let l be -4*4\/(4*-4). Let k(m) = l*f(m) + 6*i(m). Let a(w) = 4*w**3 + 2*w**2 - 4. What is -a(o) + 4*k(o)?\nAnswer: -4*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1819.3 + 1819. Which is the closest to 0.371? (a) 4 (b) 2\/5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/6)\/(8\/(-48)). Which is smaller: 2\/3 or w?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24892, 49912, 74932?\nAnswer: 99952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/385 and -61\/2926.\nAnswer: 14630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -2\/716595 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -318\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 0)*(b - 5 + 5) + (-3 + 1 - 3)*(13*b - 13*b + 8*b) to the form t + n*b and give n.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((0 + sqrt(1008))*6)**2 + (sqrt(1008) - (sqrt(1008) + 1*sqrt(1008))**2*3) + (sqrt(1008) + 1)*1 + (sqrt(1008) + sqrt(1008) + 3)**2 + 0.\nAnswer: 168*sqrt(7) + 28234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**3 - 37*f - 26*f - 14*f**4 + 68*f + 4*f**2 wrt f.\nAnswer: -336*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)*p**(2\/7)*p)**(-29) assuming p is positive.\nAnswer: p**(551\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/17 at least as big as 73724?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o + o + 2*o)*(-2*o - 2*o + 6*o)*(-4*o + 1 - 1 + (3*o - o - o)*(2 - 4 + 3)) in the form a*o + r*o**3 + f*o**2 + p and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -8*o. Let g(x) = -232*x. Let h(t) = -176*b(t) + 6*g(t). Is 16 a factor of h(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 77, -3419, -1796 in decreasing order.\nAnswer: 77, -1796, -3419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/(-7) - 6 - (-4 - 0). Let m be (-4)\/((-2)\/16*2). Solve 2*q + 5*l + 5 = 0, -u*q - m = 2*q + 4*l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 8*k**2 - k + 1. Let q(x) = x**2 + 6*x - 15. Let c be q(-8). What is f(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -666, -6192, -21194, -50412, -98586, -170456, -270762?\nAnswer: -404244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2)*6*8\/(-36)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -116 + 36*g + 9*g**2 + 116 + 7*g**2 - 36*g. Let s(o) = -3*o + 4. Let r(l) = l - 1. Let f(u) = 20*r(u) + 5*s(u). Give f(z(a)).\nAnswer: 80*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 221*f - 2*f**3 - 10*f**2 + 15*f**3 + 1 + 0*f**2 - 8*f**3 - 10*f**3 wrt f?\nAnswer: -30*f - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100.7933 centuries to millennia.\nAnswer: 10.07933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-4 + -7 + 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/90505 and -61\/362020.\nAnswer: 362020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9 - 0.1. Let n = 1960.9945 + -1962. Let i = n - s. What is i rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 4 (c) 36\/71 (d) 0.2024\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -632.8 + 633. Which is the biggest value? (a) n (b) 1 (c) -1\/2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 57, 101, 183, 315, 509, 777, 1131?\nAnswer: 1583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, a: 4, b: 1, m: 3, q: 2}. What is prob of picking 1 b and 1 m?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*y, -381 = -5*z - y + 122. Let x = 3 + -1. Suppose 0 = 3*n + x*n - z. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 66318*s**3 - 16*s + 952.\nAnswer: 397908*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2649 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**4 + 0*t**4 + 4*t**4 + (-4*t**2 + t**2 + t**2)*(-3 - 2*t**2 + 3) + (13*t - 13*t - 8*t)*(9*t - 9*t - 3*t**3) - 57*t**4 + 118*t**4 - 55*t**4.\nAnswer: 37*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10 + d?\nAnswer: 1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -6*s - 14*s. Suppose -25*y + 56 + 119 = s. Which is the nearest to -0.5? (a) 0.4 (b) 0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4307\/16 - 269. Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 30*x + 86. Let d(g) = -9*g - 30. Calculate 17*d(h) + 6*m(h).\nAnswer: 27*h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -161900*f*v**3 + 2936*f + 10*v wrt v?\nAnswer: -971400*f*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -31*s**2 - 2164*s - 4. Let z(q) = 26*q**2 + 2157*q + 3. Give -4*g(x) - 5*z(x).\nAnswer: -6*x**2 - 2129*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 9:02 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of s**3\/3 + 3*s**2 - 9*s - 3. Let j be d(-7). Which is bigger: j or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 3. Let j be s(0). Let i = -1003 - -998. What is the third smallest value in j, -3\/7, i?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.4 (b) -0.0207 (c) 0.3 (d) -3 (e) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = n + 156, 5*k - 88 - 104 = 2*n. What is the least common multiple of k and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 99048646?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 17. Suppose 3*h + 6 = -4*i, -5*h + h = 4*i + 4. Suppose -20 = -h*q - 24. Put 5, d, q in ascending order.\nAnswer: d, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17\/117 - -4\/117. Which is the smallest value? (a) 2 (b) n (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 2*j + 3108, 9318 = 3*t - 104*j + 107*j. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 8:47 PM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 9*n**3 + 3*n**2 + 4*n + 3. Let h(q) be the first derivative of -9*q**4\/2 - 7*q**3\/3 - 9*q**2\/2 - 7*q + 730. Determine -3*h(z) - 7*w(z).\nAnswer: -9*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 8*c + 15. Suppose -b - 3*f + 9 = 0, b = -5*f + 21 - 2. Let r be d(b). Suppose 6*x - r*x = 1137. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*d - 225 + 165 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 680.1 - 818. Let u = o - -138. Which is the smallest value? (a) u (b) -0.1 (c) 4 (d) 4\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from luuyulk. What is prob of sequence uyu?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -68971 at least -1355?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 11*o + 2. Let w be r(-11). Suppose w = -4*p - 2, p + 253 = -3*n. Find the common denominator of (531\/n)\/(6\/(-4)) and 11\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 590 + 1090 - 6418. Is 22 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 6, 3, -2, -27, 2\/35, 11 in decreasing order.\nAnswer: 11, 6, 3, 2\/35, -0.2, -2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -321 - -1169. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0*a**2 + 0*a**2 - 244*a**3 + 287*a**3 + 16 wrt a?\nAnswer: 129*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 1. Let l be g(-2). Suppose -5*m + 212 = 3*p, m + l*p = p + 48. Calculate the remainder when m is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 98*u - 51*u - 26 - 45*u as n + m*u and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/6615 and 89\/98.\nAnswer: 13230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1004 - -301?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -197 + 657. Let l = 874 - p. Is 6 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.04, 0, -109?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17087, 16896, 16697, 16484, 16251, 15992?\nAnswer: 15701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26822 + -24854. What is the smallest common multiple of u and 2624?\nAnswer: 7872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2218.956 to the nearest 10.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86586?\nAnswer: 2, 3, 14431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*l + 22 = c, 0 = 2*c - 4*l + 4. Let y = 1 - 0. Let s(t) = t**2 - t - 1. Let f(p) = 2*p**2 - p**2 - 8 + 4*p**2 - 4*p. Give c*s(j) + y*f(j).\nAnswer: -j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -a + 3*a. Let j be 0 + 0 + (a - -2). Solve 1 + 5 = j*s, -o = -5*s + 6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 1704?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 17 = -22. Suppose 0 = 3*g - 97 + a. Suppose -2*n = 2*l - g, -1 - 4 = -5*n. Calculate the greatest common factor of 13 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.2675 to 1 dp.\nAnswer: 7.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.13 + 1.53. Let c = -20.5 + 21. What is the smallest value in r, c, -5, -2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1082 + 1741. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*s + 6*s**4 - 11*s**4 + 6*s**4 + (s**2 - 2*s**2 + 3*s**2)*(-33 + 23*s**2 + 33) to the form o + v*s + f*s**2 + j*s**3 + i*s**4 and give v.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.9 - 2.8. Let m = 2.6 - 0.6. Which is the third smallest value? (a) -2\/7 (b) m (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -3*k**4\/2 + 33162*k**3 - 243558360*k**2 + 588153156888*k + 44870542207224 = 0.\nAnswer: -74, 7394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*d + 76*d + 5 = 0. Let b(f) = f**2 - 5*f + 2. Give b(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 144 = -2*v - 154, 20 = -2*p + 4*v for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 75.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 472340361.\nAnswer: 3, 19, 8286673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45.600825 + -120.601123. Let g = -75 - n. What is g rounded to five decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4522, 9129, 13906, 18937, 24306, 30097, 36394, 43281?\n\"Answer: 14*y**3 + y**2 + 4506*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -7*d - 3. Let u be i(-1). Solve -2 = -u*x + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) - (sqrt(108) + sqrt(108)*3))\/sqrt(6))\/(sqrt(576)*-3).\nAnswer: sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-110)\/(-165) - (1 - (-141584)\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2 + 5*a**2 - 62 + 62. Let g(r) = 2*r + 6. Let q(v) = -2*v - 5. Let l(b) = 5*g(b) + 6*q(b). Determine m(l(y)).\nAnswer: 28*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - 29.3. Let m = r + 0.8. Round m to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20060000 rounded to the nearest 100000?\nAnswer: -20100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1967822101 and 287?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1344633001?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 7*f**2 - 4*f. Suppose 4*q + d = 2 + 14, -q - 1 = -d. What are the prime factors of k(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6\/(-21) - 52044\/(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -2. Let i = 8 + -8.7. Let d = -0.6 - i. What is the second biggest value in y, d, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38 (base 14) to base 8.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -65 - (-10 + 22) - 34?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from csssyysscsysvy. What is prob of picking 4 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2\/2*(-1)\/4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324 + 6 = -6*i. What is the remainder when 150 is divided by i?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*a = -10, 4*z - 3*a + 19 = 25. Suppose -4*j + z*j + 2611 = -3*g, 2*j = -g + 1313. Is 39 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 4259930126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 3:15 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 6*y**2 + 7. Let u be p(-6). Let n(z) = z - 5. Let r be n(u). Is r + 25*(-20)\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/6 + (-11)\/(-66))\/(-1). Solve 0 = h - d*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11257 + -3. Is 18 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2370, -2371, -2372, -2373?\n\"Answer: -i - 2369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2571.993051 + 2572. Round y to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 17, 72, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 1003165135652?\nAnswer: 1003165135652.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = -4*w + 5*o, 13*w - 10*w = -o + 112. Solve 42*y = w*y - 14 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3263.424l to millilitres.\nAnswer: 3263424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 774 - 2?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ot when two letters picked without replacement from {x: 1, r: 2, t: 4, i: 2, o: 6}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -5 + 14\/(-70)*-220. Let l(j) = j**2 + 8*j + 4. Let f be l(-4). Let i = f + z. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100020 - 10?\nAnswer: -100030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -20 * -14\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 35. Let t = r - -40. Calculate the greatest common divisor of t and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(6*x**2 - 3*x**2 + 12*x**5 - 4*x**2).\nAnswer: 12*x**5 - x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -21989.2 and -298197?\nAnswer: 276207.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6570)\/(-19710))\/(((-2)\/594*-3)\/(28\/(-12))).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 44 + 16 = 0. Suppose 6*i - 3*t - 12 = 2*i, -i = 3*t - 3. Suppose 4*m + m + i = 2*u, 4*m + 6 = -2*u. Put u, f, 2, 5 in ascending order.\nAnswer: u, 2, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 13082*x + 33100. Let j(o) = 4357*o + 11034. Let z(b) = 3*d(b) - 8*j(b). Differentiate z(m) wrt m.\nAnswer: 4390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -475.9 times 0.4?\nAnswer: -190.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 106908571?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**2 + 55*q + q**3 + 2*q**2 - 53*q to h*q + y*q**2 + g*q**3 + f and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*k**4 + 115*k**3 + 275*k**2 + 170*k.\nAnswer: 5*k*(k + 1)*(k + 2)*(2*k + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 341835280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g. Let s = -20 - -14. Let y(c) = -9*c. Let j(d) = -46*d. Let h(m) = -j(m) + 5*y(m). Calculate s*h(r) - p(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -81, 179, -4, -2, 0 in increasing order.\nAnswer: -81, -4, -2, -1, 0, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 5*n**2 + n. Let z(p) = 13*p**2. Let x(r) = 4*r**2. Let g(h) = 14*x(h) - 4*z(h). What is 3*g(f) - 2*s(f)?\nAnswer: 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3033577*q**2*s**2 - 46*s**2 + 40 wrt q?\nAnswer: -6067154*q*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 79 + -79.11. Let y = -0.5 - -0.44. Let m = j - y. Round m to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 4*r + 45, -f - 2*r + 12 = -3. Solve 26*h - 3*w = f*h + 13, 4*h - w + 3 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-12\/7)*w*w**(4\/11))**(1\/33) assuming w is positive.\nAnswer: w**(314\/2541)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*s**2 + 93 - 93 - s**2 + 2*s - 2*s + (s - 1 + 1)*(-2*s - 2 + 2).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2713, 2077, 1441, 805, 169?\nAnswer: -467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(8\/(-4)))\/(18\/5130*15)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10006483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/987759 or 1?\nAnswer: 2\/987759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4983285 milliseconds in microseconds?\nAnswer: 498.3285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 267*d + 3475. Let p be h(-13). What is the closest to -2 in 2, 5, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 975 and 1200.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/((-1920)\/72))\/((81\/804)\/9).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 92*w - 7591. Give d(78).\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 12:06 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10655 in -5, 4.3, -3?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 54 = -9 - 28. Let h(j) = -j - 12. What is h(n)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3432126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**2 - 28300*w + 28302 = 0. What is w?\nAnswer: -14151, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21910)\/427245*9\/10.\nAnswer: -3\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 812 = -5*y. Let m = y + -139. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1890 - 2017 = 5*q + 3*b, 4*q - b = 31 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 74 = 14*l, 4*j - 2*l = -l + 194 - 131 - 64 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -1352*n - 1344*n + 2697*n - 10. Give d(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/2797654 and -59\/20.\nAnswer: 27976540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/(-28)*(-12)\/315?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*1*sqrt(468))\/(3*sqrt(45)\/sqrt(5)))\/(sqrt(16)\/(sqrt(4)*-3) - (-4*sqrt(144) + sqrt(144))).\nAnswer: sqrt(13)\/53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*a = 5*z - 12, -3*a - 14 = -4*z. Let l be (-14)\/4 - a\/(-4). Let y be (-4 + 5)*(-3 - 0). Is l smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8461 + 13461. What is s rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7023c - 1?\nAnswer: 7023b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12673.92 + 12393. Round p to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0553 and -6722.\nAnswer: -6721.9447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**5\/20 - x**4\/24 - 5*x**3\/6 + 29*x**2. Let w be (-7 - -4)\/(-1 - -2). Calculate the common denominator of o(w) and -35\/19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oyyyyyyyyooy. What is prob of sequence oy?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 7118 = 9*q + 5*g, -2*q = 3*g + 7110. Let z = -1618 - q. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/182 and 101\/806?\nAnswer: 5642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 + 2619\/54 - (3 - -1)*-1.\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**3 - 9*m - 6. Determine b(-3).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4367 by 6.\nAnswer: 4367\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 27*r**6\/2 + r**4\/2 + 7*r**3\/3 + 125. Find the third derivative of u(h) wrt h.\nAnswer: 4860*h**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1001*p**4\/3 + 178792*p**3 - 207767*p**2 + 83776*p\/3 + 716 = 0. What is p?\nAnswer: -537, -2\/91, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.6 + -16.6. Let o = 6 + h. Let y = o - -9.00022. What is y rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**4\/3 + 3*g. Let l(u) = -1 + 773*u - 763*u + 0 + 1. Give l(n(j)).\nAnswer: 40*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t - 14*t - 7*t)*(2*t**3 - 6*t**3 + 0*t**3) to the form x*t**3 + m*t + a + z*t**4 + n*t**2 and give z.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 486 and 556224894.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -65?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1)\/(y*y**(26\/3)) assuming y is positive.\nAnswer: y**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/5, 2\/17, 1\/8, 18, -20?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16509 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28367.07 - -28594. Let w = r + -226. What is w rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41209 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -14. Suppose -2*z - 25 = -3*y, -z + s = -0*y + 3*y. Solve -4*x - 3*u = -y, x + 2*u = 6 - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5\/7 + 8\/21. Are -63 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n - 2. Let v be p(3). Suppose l = -4*k - l - 12, 5*k - v*l = -28. Let m be (32\/12)\/(k\/(-6)). What is the nearest to -1 in m, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 17 + 9)*(0*b - 2*b + 0*b - 4 - 2*b + 4 + (-134 + 253 + 280)*(-3*b + 2*b + 2*b)) to t + d*b and give d.\nAnswer: 7110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*o - 1134 = 0. What is the greatest common divisor of 14 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85*c + 2148817*c**3 - 2148812*c**3 - 2*c**2 + 53*c to the form m*c**3 + j + o*c**2 + s*c and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m**3 - 7*m**2. Let k(d) = 2*d**2 - 3*d**3 - 6*d**3 + 8*d**3 + 34*d - 34*d + 0*d**2. Suppose 0 = -2*t - t - 42. Determine t*k(u) - 4*b(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68 and 128?\nAnswer: 2176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 64981881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2.657, -8, -2, -3 in decreasing order.\nAnswer: 2.657, 2, -2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 47*i**3 - 23*i**3 - 65*i**5 - 32*i**3 + 3*i**5 + i**5 - 3*i**5 + (0*i**4 - 2*i**4 + 4*i**4)*(0*i + 2*i - i) - 2*i + 2*i + i**5.\nAnswer: -61*i**5 - 8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 + 3. Let l be (-4 - v)\/5 + 3. What is the least common multiple of l - (-1 - 2) - -4 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/4 + -2 - (-1 - 0). Let r be u\/(2\/(-32)) + 4. Round r to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/((-13140)\/(-511)))\/(1*(-6)\/(-15)*2)?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.02 or 191.2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31817?\nAnswer: 31817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 - 24. Let y = -112 - -199. Suppose -t*c = v - 16, 0*c + 3*c = 4*v - y. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of u**6\/180 - u**5\/30 + u**3\/6 + u. Let m(w) be the second derivative of q(w). Find r such that m(r) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**3 + 66*a + 418*a + 94 + 4*a**3 - a**3.\nAnswer: -2*a**3 + 484*a + 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/4 and -89\/1725102.\nAnswer: 3450204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3003332 (base 5) in base 7?\nAnswer: -255011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2176282, -2176284, -2176288, -2176294?\nAnswer: -2176302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3648 is divided by 210?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 6 = g, 4*s + 5*g - 6 = 5*s. Let p(q) = -s*q + 403 - q - 403. Calculate p(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001 - -110010?\nAnswer: 100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24574\/(-14245) - ((-3)\/14 + (-324)\/216).\nAnswer: -2\/185","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**3 + 14*w**2 + 25719*w - 154394. What is o(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c + 10. Let o be a(8). Sort -1, -3, o.\nAnswer: -3, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.326325 millilitres?\nAnswer: 0.002326325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 7*b**2 + 2*b + 92. Let t be n(-5). Let u(k) = 32*k**2 - 5*k - 5. Let g(o) = 208*o**2 - 32*o - 32. Determine t*u(s) - 5*g(s).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -525 + 567. Let q be (-4*9\/z)\/(6\/(-28)). Solve -t = -5*k - 21, 4*t + 0*t - q = 4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 11*c**2 - c - 4. Let d(n) = 10*n**2 - 5. Suppose 0 = -3*q - v - 55, -3*v = 3*q - 7 + 52. Let b = 25 + q. Let p(z) = b*y(z) - 6*d(z). Factor p(t).\nAnswer: -5*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, l: 9, u: 1, r: 6}. What is prob of picking 1 k, 1 l, and 1 r?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 228 and 836?\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -561*t + 333. Let d(n) = 187*n - 121. Determine -11*d(v) - 4*s(v).\nAnswer: 187*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + -2)\/(-3 + 4). Let y be 236\/24 - 2\/(-12). Suppose -y*i + 15*i - 30 = j. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -743 or -742?\nAnswer: -743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19112 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11 + -11)\/((-2)\/(-2)). Suppose 4*t = 2*q + 86, -4*q + 4 = -u. Calculate the highest common factor of t and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170475 + 54*n**2 - 170475 - 17*n**2 - 5*n.\nAnswer: 37*n**2 - 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 + 3.7. Let z = -43180 - -217189\/5. Let c = 258 - z. What is the closest to 0.1 in o, 2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 0.039 (b) 1\/4 (c) -2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 + 24. Let p = q + 26. Suppose 2*a + 3*v - p - 8 = 0, a + 2*v = 9. Calculate the remainder when 25 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 - 5*n + 5. Let d be p(6). Suppose 4*t - 25 = d. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = h + 9, 0 = -2*u + 8*h + 58 - 52. Solve -4 = -l - 5*t + 19, u*l + 1 = -t for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1348966174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 95*s**6\/6 + 93*s**2\/2 + 3*s - 101. Differentiate c(r) with respect to r.\nAnswer: 1900*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/965 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -5335 in descending order.\nAnswer: 1, -2, -5335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226*u = 54*u + 364597 + 856259. Is 91 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 6 - 19 - 4 + 3 - 3 + 0 + 0 + 2 + (0 - 3 + 1)*(2 + 3 - 3) + 0 + 3 - 2)*(3*q - 3*q + q).\nAnswer: -34*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 242.2 + -242.1974628. What is n rounded to 5 dps?\nAnswer: 0.00254","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, 0.4, 0.8, 3, -843?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57820867?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 - 1)*(-4 + 2 + 0)*(4*g - 3*g + 2*g).\nAnswer: 24*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/22328100 and -29\/52?\nAnswer: 290265300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 990 and 9900.\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 11203?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -700, -1400, -2110, -2836, -3584, -4360?\nAnswer: -5170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-d + 2*d + 0*d)*(3 - 6 + 1) - 2*d - 4*d + d)*(1 - 1 + 5) as z*d + q and give z.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(1\/6)\/i))\/(i*i\/i**(2\/11)*i))**(1\/39)\/((i\/(i**(-1\/9)\/i)*i*i)\/((i*i**(1\/14))\/i))**(-35) assuming i is positive.\nAnswer: i**(1555\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -894 - -897. Let o(y) be the second derivative of m*y**2 + 0 + 1\/2*y**3 - 7*y - 1\/12*y**4. What is o(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*a + 1203, -3*o - 3*a = -7*a - 3604. Suppose o = -d + 9*d. Suppose 2*k - 701 = -3*f, 5*k + d = f - 112. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1942 - 61142 = -25*z. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -1786*q**3\/7 + 8990*q**2 - 445936*q\/7 - 47640\/7 = 0.\nAnswer: -2\/19, 10, 1191\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**4 - 65*r**3 - 235*r**2 - 175*r.\nAnswer: -5*r*(r + 1)*(r + 5)*(r + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1104 + 1108. Solve 5*i + 2 = i - 2*t, t = u*i - 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3435 - -140334?\nAnswer: 144213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17415 - 36497\/2. Let f = 854 + r. Let s = -3\/236 - -3667\/708. What is the common denominator of f and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (90\/135)\/(8\/156). Solve -9 + 35 = m*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1350430 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 660308 and 344?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*((sqrt(495)*-2*-3 - sqrt(495)) + sqrt(495))\/sqrt(9))\/(4*((sqrt(539)*-1*4 - sqrt(539)) + sqrt(539) - sqrt(539))))**2.\nAnswer: 81\/245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4292+3\nAnswer: -4289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 4*p - 34 + 0*p**2 + 18*p - 6*p + 23*p. Let v be m(30). Let t(d) = d**3 + d**2 - 5*d - 5. Determine t(v).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -73 - -126. Let j = h + -42. Calculate the highest common divisor of j and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b + 1 = 25 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/2 of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6805 (base 11) to base 6\nAnswer: 105251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -1111101100?\nAnswer: 1111101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 + 7404*r**2 - 36927*r - 44334.\nAnswer: -3*(r - 2463)*(r - 6)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (3 - 4) + (-8 - 15 - -17)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -1729?\nAnswer: -1729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 14*n - 15. Calculate d(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 11. Let b be (-2)\/16*(-8)\/6. What is the nearest to -2\/3 in b, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/18763 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = 4*g - 2*d - 16, 3*d = 3*g + 12. What is the second derivative of g*m + 3*m + 2*m**5 - 11*m**5 wrt m?\nAnswer: -180*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -322 + 321. Let s be (27\/(-5) - -5) + 148\/(-5). Sort s, 0, 4, d in descending order.\nAnswer: 4, 0, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 t when two letters picked without replacement from fhkgfgti.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*n + 8, 5*w = -7*n + 2*n - 15. Let i = 5 + n. Let m(c) = c**2 + c + 15. Does 8 divide m(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2559 - -4464. Suppose -8*t = -11*t + g. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 - 18044963*y - 54134898.\nAnswer: (y - 18044966)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**5\/20 + w**4\/6 - w**3\/2 - 2*w**2 - 6*w. Let g be (-89)\/(-5) - 3\/(-15). Let r be 4\/g - (-58)\/(-18). Determine k(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5167, -9752, -14359, -18994, -23663, -28372?\n\"Answer: -q**3 - 5*q**2 - 4563*q - 598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131387, -131248, -131109, -130970?\nAnswer: -130831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/((-5)\/((-20)\/6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 559979.\nAnswer: 1\/559979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-493735)\/(-15510) - ((22 - -2) + 3)?\nAnswer: 29\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(-2\/15))**(-11\/2))**(1\/47))**20)**0 assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 166 - 50. Let j = -56 + z. Suppose 0 = 2*p + 10 - j. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 158267439 and 506.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 37\/5 of a tonne?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-34 + 40 + 1 + 1 - -7).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**2\/2 - 1. Let s(g) be the third derivative of 13*g**5\/60 + 16*g**2 - 1. What is r(s(j))?\nAnswer: 13*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (11\/429)\/((-1)\/11*(-11)\/6)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2922, 2672, 1982, 630, -1606, -4948, -9618?\n\"Answer: -37*h**3 + 2*h**2 + 3*h + 2954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4743, 14466, 66603, 168132, 335517?\nAnswer: 585222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 85566643543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3026 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50.323 - 13.087. Let b = 210 + -147. Let o = p + b. Round o to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86 - 86.018. Let y = 0.318 + r. Suppose p = -4*p - 15, 3*f - p = 3. Which is the fourth smallest value? (a) y (b) f (c) -3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1448, 1700, 1958, 2222?\nAnswer: 2492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252963 is divided by 625?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/5))**29\/(f**(2\/5)\/f*f)**(-1))\/((f\/(f*f**1\/f)*f*f*(f*f**(-2\/5))\/f*f*f)\/((f*f\/((f**5\/f)\/f)*f)\/f**(-7))) assuming f is positive.\nAnswer: f**(77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = w - 70*p + 65*p, 4*p - 1 = 3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) -1 (c) -4\/7 (d) 19\/2214 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -185*d + 319*d + 102*d - 8*d**3 + 2*d**3 - 2*d**2 in the form i*d**3 + o*d**2 + s*d + c and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 8:13 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-57)\/(-27132)*34)\/(2\/(-12)*1)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56 + -13. Let h = 71 + n. Let b(z) = 0 + 3*z**3 + 3*z**h + 1 + z**3 - 2*z - 6*z**3. Give b(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110022002 - 312?\nAnswer: 110021030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -7913165 <= -7913164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10230 and 9174?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -710297 (c) -1\/32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130161, 130359, 130557, 130755, 130953, 131151?\nAnswer: 131349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 1 + 9 = 2*v, -44 = -4*v + b. Let k(j) = -j**3 + 10*j**2 + 10*j - 97. Let t be k(7). Calculate the highest common divisor of v and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.7648nm in kilometers?\nAnswer: 0.0000000000227648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 = -3*m + 3*b - b, -2*m - b + 119 = 0. Calculate the common denominator of -43\/6 and 1 - m\/8*2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 4:28 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46\/5 or 10?\nAnswer: 46\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 132.5 + -23.5. Let x = 109.063 - s. What is x rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/6 - (-303)\/6. Let d = 29 + i. Suppose 0 = 2*s - 58 + 2. Calculate the remainder when d is divided by s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23179990?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19357459*u - 39949250 wrt u.\nAnswer: 19357459","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001715147 to seven dps.\nAnswer: -0.0000172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -128a48 (base 11) to base 9\nAnswer: -337374","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/10 and 13\/74?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10, -8, -2, -3 in decreasing order.\nAnswer: 10, 0, -2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-7 - -26) + (7 - -1) - 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -51, -59, -67, -75, -83?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 158, -3, 2 in descending order.\nAnswer: 158, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2406 is divided by 344?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18795 is divided by 631.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -19800 divided by -15\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 2250 = -6*s + 2*h, 0 = -s - 3*h + 437. Let f = 452 - s. Which is the nearest to -2? (a) -1\/6 (b) f (c) 8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h\/(h*h*h**(-8))))\/h*h*h*h\/(h\/h**5) assuming h is positive.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - ((-40)\/24 + 1). Let g be (-8)\/6*36\/24. Let m be (6\/18)\/(1\/g). Which is the biggest value? (a) j (b) m (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of n**4\/66 + 13*n**3\/33 - 68*n**2\/11 - 38*n. Factor j(x).\nAnswer: 2*(x - 4)*(x + 17)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-12))\/(1\/(-6)*-1). Solve -y + 8 = u*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -48 (b) 0.04619 (c) -1\/8 (d) -8\/7 (e) -2\/9 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 821*j + 644*j - 2182*j - 93 + 93.\nAnswer: -717*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s + 3. Let w be h(-4). Suppose 3 - w = -3*j. Solve 0 = -5*g - 3*b - 2 - 3, -j*g + 23 = -3*b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/6443360 and 31\/73220.\nAnswer: 6443360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 784.41039 milliseconds?\nAnswer: 0.000217891775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -137*l**4\/6 - 32*l**3 - 159*l. Find the second derivative of w(t) wrt t.\nAnswer: -548","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1078, -7 in decreasing order.\nAnswer: -6, -7, -1078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -b + 88. Let r(t) = -67*t + 3549. Let p be r(55). Let c = b + p. Calculate the least common multiple of 66 and c.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -0.16, -4, 2370, 3\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -6, -7, -8, -9, -10?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4002 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a kilogram in grams?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/14 + 6496\/49. Does t = 131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35\/(-5) + 4 + 42*17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298*q - k - 10355 = 297*q, -q - 4*k = -10360. What are the prime factors of q?\nAnswer: 2, 3, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0*o = 360. Suppose -6*m + 45 = -3*m. What is the highest common divisor of m and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306.898 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(-3*a**4 + 8*a**4 + 0*a**4) - 5*a**4 + 5 - 5.\nAnswer: 5*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/36 of a week?\nAnswer: 16800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17475465 (base 8) in base 16?\nAnswer: -3e7b35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d**2 + d + 2. Suppose -520*y + 521*y - 3 = 0. Give g(y).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*b**3 - 23*b**3 - 24 + 24.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*d = 774. Let c(j) = 44*j**2 + 35*j + 71. Let b be c(-4). Suppose -5*p - 4*q = -q - b, -3*p + d = 3*q. Is p a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -97*x - 67*x - 324*x - 8296 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 7964431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2389, 18771, 63175, 149611, 292089, 504619?\nAnswer: 801211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -36 (c) 1.7 (d) -9 (e) -3 (f) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + -1 + -2)*-1. Let r = -7 - -3. Sort 0, p, r in descending order.\nAnswer: p, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + c - 16, 4*p = -c + 2*c + 8. Suppose l - 2*u = -3, -3*u - 17 = -5*l - 4. Let n = 13 - l. Solve p*y - y = -n for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -158.3 - -160. Which is smaller: -0.15 or a?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/25 of a millennium?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 145 = -2*q, 0 = -2000*x + 1999*x + 3*q + 67. Solve 0 = -7*z + 71 - x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 189 in -10.083, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61250 - -7350131\/120. What is the common denominator of n and -69\/8?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) -40 (b) -5 (c) 3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a meter in micrometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/10*(0 + 5). Let v(m) = m + 3*m - 7 + m - 3*m**j + 2. Let g(r) = r**2 - r + 1. Let f(s) = 5*g(s) + v(s). Let t(a) = 2*a. Determine t(f(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -24621 minus 2.73?\nAnswer: -24623.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*m - 83*m - 1380 = 0 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 19*r**2 - 12*r - 4. Let n(a) = 57*a**2 - 42*a - 12. Let s(y) = -2*n(y) + 7*w(y). Calculate s(-2).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -109 by 99.\nAnswer: -109\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2. Let g = -100 - -99. Let a(d) = 5*d**2 - 4*d. What is g*a(m) - 3*q(m)?\nAnswer: -2*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - r - 2. Let u(h) = -4*h**3 + 8*h**2 - 13*h - 12. Calculate 8*t(y) - u(y).\nAnswer: 4*y**3 + 5*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -563108 divided by -2873?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 489555.92318 and -0.29.\nAnswer: 489555.63318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6896e (base 16) in base 8?\nAnswer: -1504556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.64 - -2.6. Let h = r + 6. Let x = 2\/41 - -64\/369. What is the closest to -2\/5 in -3, x, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = p - 9. Let m be (-1)\/(-4) + p\/(-24). Is -2\/5 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*j + 12 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*l**3 + 54265*l**2 - 73630820*l + 36801845.\nAnswer: -5*(l - 2713)**2*(2*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 x when two letters picked without replacement from {a: 2, s: 1, j: 1, f: 1, x: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/6529754 and -32\/11575473.\nAnswer: 254660406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**4 + 787632*x**3 - 13388764*x**2 + 34652928*x - 22051792 = 0. Calculate x.\nAnswer: 1, 2, 14, 196891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 466853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1))**(-36))**31\/((v**1*(v*v*v\/(v*v**4))\/v)\/(v**0)**(-49)) assuming v is positive.\nAnswer: v**1118","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 3420?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 1:19 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -7*i + 152. Let u be c(0). Suppose 0 = 5*b + u - 2297. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*b - 1403 = 7*b. Suppose -15*p = -b - 59. Sort 2, p, 0 in increasing order.\nAnswer: 0, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23.025 - 10.547. Let s = t - -0.022. Let a = -12 + s. What is the nearest to 0 in 0.1, a, 5\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 u when four letters picked without replacement from wuwuwu?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 33, -28, 135 in descending order.\nAnswer: 135, 33, 14, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 10*q - 9. Let p be m(9). Suppose 4*w - 34 = -2*f, -4*f - 4*w + 3*w = -61. Solve i - 5*t - 7 = p, -i - 2*i - f = 3*t for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 171885 and 859425?\nAnswer: 859425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 7 - 10. Suppose 0 = -c*y + 5*t + 85, 87 = 3*y + 8*t - 11*t. What is the smallest common multiple of 6 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -1844\/4907?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54.8 + 54.9. Is i bigger than 5\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11011 (base 2) to base 9\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 634157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 37793150609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -50*j**2 - j. Let t(a) = 44*a**2. Calculate 7*r(x) + 8*t(x).\nAnswer: 2*x**2 - 7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 8. Let u be y(0). Let o = 4 + u. What is the tens digit of (-216)\/42*42\/o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -443 - 11244322?\nAnswer: -11245205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tsssstsssss. What is prob of picking 2 s and 1 t?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6995.\nAnswer: 5, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3723035 (base 8) in base 12?\nAnswer: 4155b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22487 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmx when three letters picked without replacement from xmmkvkef.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80937?\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19*j**3*r*w + 2*j**3 - 32*j*w - 2*r*w - 2*w wrt r?\nAnswer: 19*j**3*w - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 + 15*q + 18. Let l(x) = -3*x**2 - 15*x - 19. Let v(b) = 4*d(b) + 3*l(b). What is the remainder when 88 is divided by v(15)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*b - 26 + 554. Suppose -37*r + b*r = 0. Solve 2*a + 2 = 3*z, -z - 2*z + 4*a - 2 = r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3100 not equal to 3108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2290 = -458. Does 25 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 11:19 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -37901 and 0.3.\nAnswer: -11370.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, g: 1, b: 1, k: 4, j: 2}. What is prob of picking 1 g, 1 j, 1 b, and 1 k?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1662 divide 111339042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -5*w**6\/6 + 4*w**5 - 5*w**4\/4 - 70*w**3\/3 + 50*w**2 - 40*w - 6. Let n(a) = 0. Calculate a.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*c**2 - 8*c**2 - 15*c**2 - 63*c**2.\nAnswer: -119*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/8 (b) -0.2 (c) -9\/41 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-96)\/(-3) - -4) + -1. Let a be (-2)\/(-7) + (1 - (-1250)\/b). Suppose 3*m - 83 = a. Calculate the least common multiple of m and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*y - 1 = 0, 2*o + 2 = -0*o - 2*y. Suppose o*u = k + 56, -u + 71 = 2*u - 4*k. Calculate the remainder when 48 is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 69*b + 332. Let u be s(-9). Suppose 4*y + 398 + 142 = 0. Let r = y - u. What is the remainder when r is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/2*1\/6. Let p = 4 - -1. Sort w, -6, p in decreasing order.\nAnswer: p, w, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m - 15. Let q be y(7). What is the derivative of 11*s + q + 2*s - 7 - 3 wrt s?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-2)*(-150)\/15 - 62. Is -66 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - -7. Let n be (8\/(-5))\/((-6)\/a). Solve 3*m - 2*q = -7, 4*m = n*q - 9*q + 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4838.7227 to the nearest ten.\nAnswer: 4840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -6*o + 48. Let n be i(9). Let a be ((-4)\/n)\/((-2)\/(-6)). Solve a*p - p = -3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven quarters of a hour?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 46350 = 3*q, 20*q - 231670 = -5*g + 25*q. List the prime factors of g.\nAnswer: 2, 3, 7, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102232609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 - 1. Let o = 7658\/3 + -2595. Let j = i + o. Which is the biggest value? (a) -2 (b) -1 (c) j (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-234)\/48)\/(-13) + 12\/32)\/6. Which is the closest to 1\/9? (a) 7 (b) -4 (c) r (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.11 (b) 2 (c) 2\/17 (d) 2\/61 (e) -225\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 4:15 PM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 2*m**2 - 4*m - 7. Let v be w(5). Let r = -36 + v. What is the highest common factor of 9 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4266*y + 4266*y + 408*y**2 + y**3 as h*y**2 + b*y + x + m*y**3 and give h.\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -41.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 48*l**3 + 10*l**2 + 6*l - 2. Let m be z(-1). Which is the second smallest value? (a) m (b) 0.1 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 5646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 5*n**2 - 7*n + 9. Let q be v(6). Let o = -6 + 11. Solve -o - 1 = -q*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*g = 4*f - 24, g + f - 21 = 0. Suppose -2*h + g = -0*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1 + (3 + 2 - 3)*(-2 + 0 + 3) + 5 - 2 - 2)*(n + 0*n + 0*n)*(-n - 5*n + 2*n).\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4824 divided by 1206\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 1291.1916.\nAnswer: -1291.1916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 757167*i - 1032235 wrt i?\nAnswer: 757167","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 2:51 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-2)*6\/(-12). Suppose 2*u + 6 = 0, 4*u = -x*d + 4*d - 16. What is the units digit of d\/(41\/(-21) + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4902*a**4 - 4168*a**2 - 24*a wrt a.\nAnswer: -117648*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -f + 16*f + 0*f as h*f + z and give h.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, b: 5, k: 7}. What is prob of sequence cbbk?\nAnswer: 245\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 1:36 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d47 - 1d4?\nAnswer: -1f1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -95*z**2. Let c(u) = -16*u. Give c(y(t)).\nAnswer: 1520*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16601479*a**3*k**3 - 66*a**2*k**2 - 12*a**2*k + 806*a*k**3 wrt a.\nAnswer: 99608874*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 459523 to the nearest integer?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-228))\/(278\/(-3336)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -5*v**3\/3 - 2*v**2 - 31. Let s(n) = -4*n**2 - 3*n. Give 2*c(l) - 3*s(l).\nAnswer: 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/11 and -107\/1146.\nAnswer: 12606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-11 - -20)*(-104)\/(-18). Is -0.1 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 0*z = 0, -57*j - 3*z = -62*j + 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 31 = -h, -7*h + 2*h + 55 = 5*u. Let a be 9 - u - -7*1\/1. Solve t + a = 4*t - q, -5*q + 6 = -3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 + 41. Suppose x = -12*k - 19 + 55. Suppose 0 = p - k*p + 168. Does 19 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(99\/12)*6\/(-72)*-9.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2293335 divided by 369?\nAnswer: -6215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 4*w - 9 = 0, -2*o - 5*w = -6*w + 9 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgv when three letters picked without replacement from {g: 5, v: 4, j: 2}.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 746494 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 104 - 44. Let h = f + -30. Let u = 7 - -8. What is the highest common divisor of h and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 552*b + 60. Give d(-1).\nAnswer: -492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1204\/154 + 2\/11. Is d\/(88\/12791) - 4\/(-22) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*p - 9. Suppose -6*u = -3*u - p*u. Let i(h) = -h + 3. Give i(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 10:13 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 + 53 = 11*v. What is the greatest common factor of v and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*s - 23*s - 13*s)*(581*s - 1081*s + 679*s).\nAnswer: -2506*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - 5*t - 94, 4*t - 34 + 446 = 8*u + 2*t for u.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192876 divided by 36.\nAnswer: 16073\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 w when two letters picked without replacement from {z: 1, j: 2, w: 2, l: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -17. Suppose -q = -c - 0*c. What is the greatest common factor of c and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 2*x - 3456, -2*u = 2*u + 4*x - 3464. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = z + 32. Let s(f) = f**3 - f**2 + f - 33. Let k be s(0). Let a = z - k. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 0.081?\nAnswer: 7.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94083 divided by 8553.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -119, 625, 1, -4 in decreasing order.\nAnswer: 625, 1, -4, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0459 minus -6690?\nAnswer: 6689.9541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*f - 6 = 100*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 14*c - 28. Let s(f) = f + 1. What is 3*d(v) + 84*s(v)?\nAnswer: 126*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 + 67. What is the remainder when 201 is divided by k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.256 - 0.26. Let p = -140 + 139.704. Let x = p + w. Which is the nearest to -1\/4? (a) -3\/7 (b) x (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.598 to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2578000 rounded to the nearest one hundred thousand?\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/18)\/(22\/198).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21388 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 9*c**2 - 17*c + 5. Let i(l) be the third derivative of -l**5\/12 + 3*l**4\/8 - l**3\/2 - 20*l**2. Let h(z) = -5*i(z) - 3*q(z). Let h(d) = 0. What is d?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5 + (sqrt(112) - 2*sqrt(112))**2*-4)*3.\nAnswer: -1368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h + 8767 - 2345 = 0. What are the prime factors of h?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -4. Let x be 1 - 3 - (-2 - h). Let k = 0 - x. Let n(y) = -y**3 - y**2 - y + 2. What is n(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 15 = 3*q. Let v(f) = 3*f**3 + 6*f**2 - 6. Let b(o) = -4*o**3 - 7*o**2 + 7. Let i(n) = q*v(n) - 4*b(n). Let u = -352 + 355. Calculate i(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28256000 rounded to the nearest 1000000?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.95 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(1*22\/2)\/(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - 5\/((-5)\/(-2)). Suppose -3*q - 15 = 3*f - 6*f, -5*q - 9 = 3*f. Let d = f + z. Solve -2*s + 22 = 3*p, 0 = 5*p - d*p + 4*s - 24 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 40\/12*(6 + 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 - 3*k + 3. Let a be i(2). Suppose -4*h - a*w + 30 = 0, -4*h + 5*w = -5*h. Solve -7*g + 2*g + h = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**3 - 378 + 192 + 184 - 5*x**2 + 7*x**2 + 12*x**2 - x to q*x**2 + v*x**3 + w*x + c and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22179 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59279 and 63019.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0051217807 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/92 and -25\/164.\nAnswer: 3772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a kilometer in meters?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5696*x + 8 = -5698*x - 4*w, 5*x + 5*w = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + 4\/(-1 + -1). Let a(h) = 29*h**2 + 8*h + 4. Let n be a(s). What is the units digit of n\/45 - (-4)\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b. Let x(a) = -2*a + 79458. What is x(u(k))?\nAnswer: -2*k + 79458","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-82)\/4*(-2)\/(-4). Let s = o + 21\/2. Solve 1\/2*u + 3\/4*u**2 - s = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 12*t = 3*v - 14, -12 = -2*v - 2*t. Solve 2*x - i = 5*x - 1, -v = 4*x + 3*i for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 2*d**2 - 2*d + 4. What is f(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5174, -21027, -47450, -84443, -132006?\nAnswer: -190139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by -1.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 81. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.3, 2, -49 in descending order.\nAnswer: 2, 1, -0.3, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -61 divided by -2\nAnswer: 61\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8551\/7011 - -2\/779. Let f = -44\/9 + 647\/90. Calculate the common denominator of j and f.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/37)*a\/((a\/((a*a*a**(-8))\/a))\/a*a*a*a*a) assuming a is positive.\nAnswer: a**(-368\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28427 in 0, 7\/5, -2, 3\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222629?\nAnswer: 11, 37, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x - 1. Let d be y(-5). Let s = -17 + d. Suppose -s*t = 5*f - 28, -5*t + 2*f + 35 = -93. Solve -3*r = 5*a - t, -6 = -3*a - 0*a + r for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*16\/(-48)*(-3)\/90?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.7 plus 948?\nAnswer: 943.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 1:10 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 342\/(-19)*(-777)\/(-666)*(24\/14)\/3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 26969 - 8814. Let z be -2 - (2 + -5 + -2). Suppose 3*h = -0*x + 3*x + 2718, -z*x = 4*h - w. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4*d**3 + d**2 + 4*d + 1. Let l be k(-3). Suppose 5*f - l = 329. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(k**3 + 4 - 4) - 3*k**3 + 0*k**3 - 5*k**3 - 2*k**3 + 2*k**3 + 2*k**3.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j + 5. Let h(d) = -7*d - 21. Let z(w) = -21*g(w) - 5*h(w). Suppose 0 = -5*m - 1 + 11. Let k(y) = -y**2 - 9*y**2 + 8*y**m. What is z(k(n))?\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22764*j**2 + 23285*j**2 - 49561*j**2.\nAnswer: -49040*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 244213629, 488427257, 732640885?\nAnswer: 976854513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(242) - ((sqrt(242)*-3 - sqrt(242)) + 1)**2 - (sqrt(242) + sqrt(242) + (-3 + sqrt(242))*-1 + sqrt(242))).\nAnswer: -3874 + 77*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21087787, -42175573, -63263359, -84351145?\n\"Answer: -21087786*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 2*z = -2*x - 14, -2*z = -4*x - 12 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1581 and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, f: 4}. What is prob of picking 2 f and 1 z?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(66) + sqrt(66) + -6*(sqrt(66)*-3 - sqrt(66)) - sqrt(66))\/(sqrt(54)*-3))**2.\nAnswer: 171875\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5346 and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 25*z - 44. Let t be a(23). Solve -t = 2*f + q, -8*q + 4*q + 8 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**5\/20 + s**4\/3 - s**2\/2 - s. Let m be d(-4). Let h be (m - 3\/3)\/2. Do -8 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/20 + 54\/10. Let y(c) be the second derivative of c**4\/12 - 7*c**3\/6 + 3*c**2 + c. Let g be y(w). Solve -1 = q + 3*u - g, -2*q + u = 9 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a - 9*a - 3*a)*(2 - 5*a**2 + 4*a**2 + 0).\nAnswer: 6*a**3 - 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 598148582?\nAnswer: 2, 299074291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -45757 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -281*x + 663. What is r(6)?\nAnswer: -1023","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 419379 * -31\nAnswer: -13000749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-3))\/(8\/6). What is the closest to -0.1 in 3, m, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 413001 (base 8) in base 12?\nAnswer: 67141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -100121 + -5?\nAnswer: -100126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2058227 to the nearest integer?\nAnswer: 1435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 4 + 1)*(-2*q + 4*q - q + (0 + 0 - 2)*(2*q + 3*q - 6*q)).\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (10 + (13 - 13)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 427665, 427670, 427675, 427680?\nAnswer: 427685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(((y*y**(-7))\/y)\/y)*y)\/y*y**4)**(3\/11)\/((y**(-2\/15)\/(y\/(y*y**(2\/9))))\/((y*y**(-2\/7))\/(y\/((y*y\/y**(-1))\/y*y)*y*y))) assuming y is positive.\nAnswer: y**(14452\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + (-18)\/(-7)*(-1 + 43) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.029 and 1069.\nAnswer: 31.001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**2 - 12*l - 4. Let u be n(-7). Let v = -4138\/15 + u. Which is the closest to 2\/9? (a) -0.2 (b) 2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*w = 129*w - 5*j + 35, -j = 5*w - 28 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 560 and 760.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 5 = -5*o + q, -2*o - 3*q - 3 = 0. Let j be (16*3\/o)\/2. What is the greatest common divisor of j and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -121, -1, 4, -3, -283 in descending order.\nAnswer: 4, -1, -3, -121, -283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**7\/2520 - s**4\/4 - s**2. Let r(g) be the second derivative of x(g). Let p(v) = -v**2 + 4*v. Calculate r(p(u)).\nAnswer: u**4 - 8*u**3 + 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -90 (b) -6617 (c) 3 (d) 5 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 750*v**2 - 2246\/3*v + 748\/3 - 754\/3*v**3 + 2\/3*v**4.\nAnswer: 2*(v - 374)*(v - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, k: 3, m: 2, o: 3, u: 3}. What is prob of sequence bmk?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 177\/6918074 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3*2.1.\nAnswer: -2.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 2*z - 1. Let p(d) = -172*d - 8. Let v be p(1). Let y = 182 + v. Let h(l) = 3*l**2 + 5*l + 2. What is y*h(b) + 5*q(b)?\nAnswer: b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 10*c**2 + 8*c - 1. Let w be n(-8). Let v = -132 + w. What is v rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2221, 2217, 2211, 2203?\n\"Answer: -k**2 - k + 2223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -11.71?\nAnswer: -11.71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -5 (b) -72 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**4 + 60*d**2 + 9*d + 10*d**3 + 3 - 61*d**2 - 9*d - 10 as h*d**2 + i + s*d + p*d**3 + j*d**4 and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 4:16 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 22*q**2 - 52*q - 38. What is the remainder when r(-21) is divided by 26?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mze when three letters picked without replacement from {m: 1, u: 2, z: 1, x: 2, e: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 + -35. Calculate the remainder when x is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**2 + 648*r = 0 for r.\nAnswer: 0, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -736\/52217 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17887309 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3510000 rounded to the nearest 100000?\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.48*1.32.\nAnswer: 0.6336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -263 - -180. Let t = 228 + o. What are the prime factors of t?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1))**(-3\/35)\/((n*n*n\/n**(2\/9)*n*n)\/n**(-1\/7))*(n*n**(1\/14)*n)\/(n*n*n**(-1)\/n)*n**3*n\/((n*n**(-3\/7))\/n) assuming n is positive.\nAnswer: n**(1049\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4))\/(3\/(-15))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 0 - 2*u + 5*u**3 - 11 + u**2 + 5*u + 8. Let j be a(1). Let q be 6 - (3 + 3 + -6). Is q at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 828, 1\/3, 5 in ascending order.\nAnswer: 1\/3, 5, 828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 925214?\nAnswer: 2, 462607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*2\/8*-2. What is the smallest common multiple of 4 and (j\/3)\/((-2)\/(-28))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.33 + -0.94. Let h = -0.47 + i. Let v = -0.08 - h. Which is the closest to 0.3? (a) -4\/3 (b) -0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103.5559 minus -3555.92727?\nAnswer: 3452.37137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -1\/3, -25 in descending order.\nAnswer: 9, -1\/3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 16 + 2*j)*(0 + 1 + 0) + 7*j - 5*j + 12*j + 3*j - 5*j + j - j + 0 + 0 + (-j - 2*j + 5*j)*(-2 - 1 + 2) - 2*j - 3*j + 3*j.\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -84103870*s**3 + 3067*s**2 + 215 wrt s?\nAnswer: -504623220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {l: 7, k: 12}?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -334104030 + 4?\nAnswer: -334104021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -8. Let w be 156\/(-9) - l\/6. Let k = w + 29. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(20\/84))\/(3\/90). Suppose 118*d + 2344 = m*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l - 1. Let r be c(-1). Let j be (r + -2)\/((-2)\/5). Suppose -2*q = 3*q + 5, 0 = j*x + 5*q - 15. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -411*y + 3996 = -4224 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 2:08 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1ac (base 14) to base 12\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yqy when three letters picked without replacement from qlyyjly?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 667759?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express f + 15*f**2 - 3 - 7 + f + 2 + 6 as n + m*f + o*f**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -72 + 260. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12598.91140022 - -12596.7114. Let l = -2.8 - -0.6. Let a = m - l. What is a rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1367248 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.97, -5, 2\/5, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 20. Suppose -p = -c*g + 4*g, -p = -3*g. Suppose p = 6*h + 11 - 23. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i**3 + 2*i**2 + 2*i - 2. Let t(a) = a**2 + a - 1. Let c(x) = -k(x) - 2*t(x). Suppose c(l) = 0. What is l?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 + 3)*209*(-16)\/(-2128).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47 - 113 - -57) + (3 - 0 - (-9 - -11))?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -13.6. Let l = -1.76 - 0.54. Let p = l + n. Round p to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -135217525*u**2 - 402977258 wrt u?\nAnswer: -270435050*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240734 is divided by 30055.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -25*2\/(-6)*3*-1. Let x(n) = -n**3 - 26*n**2 - 26*n + 20. Is 3 a factor of x(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -82303.58 and 2.2?\nAnswer: -181067.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighty-seven halves of a litre?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = -3*g + 6*g. Let n = -29 + g. Calculate the highest common factor of 24 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**5\/20 - x**4\/6 + x**3\/2 - 3*x**2\/2 + 3*x. What is the tens digit of u(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.5 + -7. Let d = -2 - -1. What is the nearest to d in -2\/5, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fee when three letters picked without replacement from epfcpefpcpff?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 4*w - 45797, -u - w = 2*u - 27468. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 181\/1360 - 6\/85. What is the common denominator of a and 35\/24?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {g: 1, h: 11, s: 6, x: 1, v: 1}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 0. Suppose -7 = -a*u + 61. Does 17 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 6*z. Suppose 1 - 2 = -b. What is the first derivative of z + 0*m**2 + b + 3*m**2 + m**2 wrt m?\nAnswer: 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*x + 86 = 3*x, 5*v - 3*x + 342 = 0. Suppose -3*u + 3 = 0, -3*u + 0 - 42 = c. Let t = c - v. Calculate the remainder when t is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + -2 - -5)*-8. Let g = -11567 - -11565. Which is the fourth smallest value? (a) w (b) 1\/3 (c) -5 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.2 - 4.46. Let q = 0.14 - h. Sort q, -0.6, -1 in increasing order.\nAnswer: -1, -0.6, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1399256 is divided by 600.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(19) + 1 - sqrt(19))**2 - 3*(sqrt(19) + 0 + sqrt(19))) + 4 + (3 + 2 + sqrt(2736) + sqrt(2736))**2 + -2.\nAnswer: 234*sqrt(19) + 10980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1027216 and 11904?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2 - b + 1. Let h(t) = -t**2 - t + 1. Let o(s) = 11*h(s) - 6*u(s). Let j(w) = -w + 1. Calculate -15*j(y) + 3*o(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/314054748 and 89\/134594892.\nAnswer: 942164244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34008?\nAnswer: 2, 3, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -3 + 1 + 5. Solve 0 = 4*t - 0*p - p, -p = m*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -h**4\/12 + 5*h**3\/2 + 15*h**2. Let u be f(7). Let k be (-4)\/(-7) + -10 + 11325\/1190. Which is smaller: k or u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 0) + -18 + -4 + 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4496752, -4496763, -4496774?\nAnswer: -4496785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*l + 3*n - 9, 21 = 3*l + 3*n. Let o be 13\/(4 + -2 - 1). Let d(b) = -17 + 2 - o*b + 2. Let g(m) = -4*m - 4. What is l*d(u) - 7*g(u)?\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*5*(1 + (sqrt(11) - (sqrt(99)*1)**2) - (sqrt(110)\/(sqrt(10) - sqrt(90)*2))**2)*-4.\nAnswer: -60*sqrt(11) + 29532\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 144279 a multiple of 369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 65*j**4 + 2*j**3\/3 + 532*j**2 + 3*j - 241. What is the first derivative of d(s) wrt s?\nAnswer: 1560*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -117c (base 14) to base 2\nAnswer: -101111101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1518 + 312 = -105*c + 1508 + 2431 for c.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*o + 24*o + 11*o**2 + 5 - 5 as s*o**2 + i*o + d and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 4*g + 12. Let l = 5 + g. Let x = l - -1. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 + -38. Suppose -5*k - 4*z = -0*z - 40, 4*k + 4*z - 28 = w. Calculate the smallest common multiple of 14 and k.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, m: 4, g: 1, q: 2, p: 1, o: 1}. What is prob of picking 1 q, 1 g, and 1 t?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2242 and 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 4*h + 15 = -g, -2*h = 3*g + 17. What is the second biggest value in 118, 3, g, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1017 divided by 5069\nAnswer: -1017\/5069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9234889 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g + 19. Let z be y(-12). Let x = 3363 - 3350. Which is the second smallest value? (a) 0.1 (b) z (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/9 - (-7)\/3. Suppose 3 = g*f - 9. Solve -f = r + 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 3*c + 2*c)*(-332*c**3 - 26 + 26 - 1376*c**3 - 7045*c**3).\nAnswer: 17506*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -181*d**2 + 12*d + 5. Let p(v) = 184*v**2 - 11*v - 4. Let a(n) = -7*p(n) - 6*t(n). Find the second derivative of a(y) wrt y.\nAnswer: -404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of c**2 - 1\/6*c**4 + c + 0 + 0*c**3. Determine t so that b(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -8*k**2 + 10*k - 1. Let y(z) = -7*z**2 + 10*z - 2. Let m(c) = 6*s(c) - 7*y(c). Let f be m(11). Solve 3*b = -3*g - 3 - 6, 3*g = 4*b + f for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -6*i + 4*a + 3762, -3*i + 5*a - 5698 = 0. Let r be i\/(-155) - (-1)\/(-5). Let t = 11 - 7. What is the highest common divisor of r and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 16) in base 11?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 256688240\nAnswer: -256688240.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, c: 5, v: 7}. What is prob of sequence vccc?\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9305041 and 46759?\nAnswer: 9305041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 193.66\nAnswer: -77.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1673702*c**3 - 1417960*c**2 wrt c.\nAnswer: -10042212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 11*l - 15. Suppose 57 + 135 = -16*p. Calculate m(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 10*d + 2. Let t be b(10). Suppose t = -n + 4, -5*n = 3*u - 16. Suppose 0 = -4*m - 2*j + 186, 0 = u*m + 2*j - 33 - 61. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5242911 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 times -25?\nAnswer: -37.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2185\/9 - 243. Suppose 4*t = -3*b - 1, -2*b - 18 = 2*t - 4*b. Let f = t + 4. Which is smaller: f or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 + 53. Let w = 4 - 3. Let q(f) = 9*f - 1. Let b be q(w). Solve -5*k + b = -y for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 1. Let j = -5 + i. Suppose 0*t = -j*t + 2. Which is the closest to t? (a) 2\/5 (b) -1 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (10 + 2 - (-8 - -16)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u - 7. Let k be a(6). Let g = -1680652\/9 - -186739. What is the closest to k in -4.4, -0.1, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1904040 is divided by 542?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132652.\nAnswer: 2, 13, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -11545, 4\/7, -0.217, 1 in increasing order.\nAnswer: -11545, -0.217, 4\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xq when two letters picked without replacement from {x: 2, q: 2, e: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 = 77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 27, 108, 263, 516, 891?\nAnswer: 1412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8627433.\nAnswer: 3, 2875811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.98 + -45.69.\nAnswer: -35.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1)**12)**26*j**(-1)\/(((j\/(j*j*(j**(-2\/7)\/j)\/j)*j*j*j)\/j)\/j)*j\/(j\/(j*j\/(j**(-2\/9)*j)))*j*j**(-1\/6) assuming j is positive.\nAnswer: j**(39157\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 483?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 377*g - 2. Let u(p) = 4752*p. Determine m(u(f)).\nAnswer: 1791504*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1222000 - -12?\nAnswer: -1221211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 87, 5, 3\/5, -1, 1, -3\/4 in increasing order.\nAnswer: -3, -1, -3\/4, 3\/5, 1, 5, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 79*b**2 - 164*b - 122. Give a(-81).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, n: 4, w: 1, t: 6}. Give prob of picking 1 w and 1 t.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*o**3 - 13*o**2 - 468*o?\nAnswer: 174*o - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 166004713 + -3?\nAnswer: 166004710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 21*i + 29. Give x(-3).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -169242\/11 = -15385?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = g - 0. Let u be 2 + -4 + g + 2. Is (1 - -32)*u\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*w**2 - 105*w**2 + 24*w**2 - 39*w**2 - 36*w**2 + 5*w in the form k*w + j + z*w**2 and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 63059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1486*s**3 + 486*s + 2?\nAnswer: 8916*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 551297588?\nAnswer: 2, 277, 497561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59480.952 + 58901. Let x = -584 - y. Let l = -4 - x. What is l rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6507.57 milliseconds to minutes.\nAnswer: 0.1084595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 13*v = -103, 2*m + 7*v + 11 = 4*m for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x + 3*c - c + 8, -6*x = x + 7*c + 70 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(2)*6)\/(sqrt(162) + (sqrt(162)*1 - sqrt(162) - sqrt(162)) + sqrt(162)).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/13)\/(f\/(f\/f**(-4))))**(-37\/2))**(-20) assuming f is positive.\nAnswer: f**(18500\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4 + (sqrt(130)*-3*-5 + sqrt(130))\/((sqrt(40) - sqrt(1440))\/sqrt(4)))**2.\nAnswer: -288*sqrt(13)\/5 + 5353\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 17*c - 22. Determine j(16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14296, 28959, 43666, 58423, 73236, 88111, 103054, 118071?\nAnswer: 133168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 3 + 17. Let k(u) = -u**2 + u - 6. Let g be k(2). Put g, x, -1 in increasing order.\nAnswer: g, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*r = 638341, 2603193 - 49820 = 4*c + r. Suppose -9*a - c = -200043. What is a rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -385 or -387?\nAnswer: -387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 303\/73 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 0*m - 17*m**2 + 18*m**2 + 3)*(-3 + 3 + 2*m**2).\nAnswer: 2*m**4 - 4*m**3 + 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in -4, -0.9, -200\/7, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 440 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 2*x**5\/15 - 7*x**4\/3 + 69. Suppose v(n) = 0. What is n?\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 34\/(-8) - (-21)\/(-28). Let t(g) be the second derivative of g - 1\/2*g**2 - 1\/20*g**5 + 0 + 5\/6*g**3 - 1\/3*g**4. What is t(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + (-5)\/(-3))\/((-3)\/(-9)). Let d be (2 + -17)*(4 - f)*3. Find the second derivative of -d*o + 9619*o**2 - 50*o**4 - 9619*o**2 wrt o.\nAnswer: -600*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 3:35 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -155\/763 + 108709\/260946. Find the common denominator of s and 101\/342.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 7*w**3 - 33*w**2 - 3*w - 27. Let n be u(8). Suppose 0*g - g + 5*f = -n, -4*f = g - 1421. Does 49 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 6, y: 2, k: 9}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gglggglg. Give prob of sequence lggg.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (0 - -10) - 6*-2. Let y = 7 + -1. Solve b = y*b - q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7524.\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2141 and -0.39.\nAnswer: -2141.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 - 3*t - 9. Let m(r) = 2*r - 6. Let a = 1 + 4. Let w be m(a). Let x(k) = -3*k**2 + 2*k + 10. Let l(o) = w*p(o) + 3*x(o). Calculate l(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12054 is divided by 754.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 18019*p**2. Let g(s) = s**2. Calculate g(f(r)).\nAnswer: 324684361*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 17*y - 4. Is z(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1036\/777)\/(12\/(-117)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yx when two letters picked without replacement from {h: 2, x: 2, f: 3, y: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 q when two letters picked without replacement from ttttqqvteteqq?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -1. Let f = d - -2. Let t = 29 - 31. Put f, -0.2, t in ascending order.\nAnswer: t, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 s, and 1 j when three letters picked without replacement from {g: 2, j: 1, d: 3, u: 5, s: 5, x: 4}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = -3*g - 1296. What is the hundreds digit of 0 - 2 - g - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*f - 2665250 + 2665360 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1 (b) -1478 (c) 0 (d) -43 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -4*l + 6, -l - 5 + 2 = 2*x. Suppose -p - 6*d + 3*d + 16 = 0, -12 = p - 4*d. Put p, 15, x, 1\/9 in descending order.\nAnswer: 15, p, 1\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -13794, -1 in ascending order.\nAnswer: -13794, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2494466 divided by 9\nAnswer: 2494466\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + sqrt(500) + sqrt(500)) - (sqrt(500) + -2)*-5 - (2 + 1*sqrt(500) + -2*(-2 + sqrt(500) - sqrt(500))))**2.\nAnswer: 1600*sqrt(5) + 32100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 938\/21 + (-1184)\/(-222)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -14*c - 4\/9*c**3 - 5 - 4\/3*c**2 + 1\/30*c**5 + 1\/18*c**4. Let n(t) be the first derivative of z(t). Let n(j) = 0. What is j?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + 28. Suppose v + v - 24 = -t*y, -y = -2*v + 15. Solve -3*z - 3*m = v, 9 = -m - 2*m for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.125195 bigger than -9\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of 2*s**4\/3 + 9*s**2\/2 - 6*s. What is the first derivative of j(q) wrt q?\nAnswer: 16*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38.9999913 - 39. What is n rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 7319513118596.\nAnswer: 7319513118598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 455444 and 176.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from ssszssszss?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 17 - 77\/(1 - -6). Solve -12 = -o*c - 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 7.7. Let m = -273 + 271. Which is the closest to 0? (a) m (b) 1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -12*z + 14. Let w(p) = -11*p + 8. Let l(o) = -2*n(o) + 3*w(o). Let b(t) = 8*t + 5. Let u = 157 - 160. Calculate u*l(i) - 2*b(i).\nAnswer: 11*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*c - 17275 = 0, -c + 13124 = 5*u - 4151. What is u rounded to the nearest one hundred?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1261 + 24\/6*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**3 + 0*p**3 + p**3 + (-10*p**2 + 14*p - 14*p)*(5*p - 4*p - 15*p) in the form i*p + h*p**2 + c + w*p**3 and give w.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96562.\nAnswer: 2, 48281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(49\/(-2)) + (-8)\/(-28). Let t = 0.23 - -0.07. Let g = 16 + -13. Which is the closest to g? (a) t (b) 0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of k**6\/300 - k**4\/60 + k**2\/2 - 2. Let u(i) be the second derivative of j(i). Factor u(r).\nAnswer: 2*r*(r - 1)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43626419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1822 - -2849. Does 48 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {x: 6, h: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-13 - -5) - 6\/10. Let 2\/5*j**5 + 8\/5 - 14\/5*j**2 - a*j**3 + 6\/5*j**4 + 0*j = 0. Calculate j.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/3)\/((-6)\/(-54)). Suppose -2*v = -4, p*s - 94 = v + 3. What is the highest common factor of s and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 45, 56, 73, 102, 149, 220?\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3 = 7. Suppose 0 = -a*b + b + 28. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xllnnggsll. What is prob of picking 3 l and 1 x?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yuy when three letters picked without replacement from uyuyuzyzwd?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 18 = -j, j + 12 = 2*u + 3*j. Calculate the common denominator of -67\/8 and (-63)\/u*(-15)\/(-153).\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -2, 5 in ascending order.\nAnswer: -2, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.1 + 2.1. Let v = -7.06 - -7. What is the closest to 1 in -1, p, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13\/(-104) + (-126)\/16. Put 1, m, -3 in increasing order.\nAnswer: m, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**3\/z)\/z)**(-13\/3)\/(z**6)**11 assuming z is positive.\nAnswer: z**(-211\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 6)*(-2 + 9*c**2 - 10*c**2 - 2) + (7*c + 3*c - c)*(-2*c - 14 + 14).\nAnswer: -21*c**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(1 - -9))\/(1\/16)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 2:39 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -57, -234, -529, -942, -1473?\n\"Answer: -59*v**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**3 + 5*n**2 - 2*n + 4. Suppose -9 = -2*y + 1. Let p be z(y). Suppose -594 = -5*f - 3*j + p, -2*j = -3*f + 649. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*c - 833 = -5*b, -5*b + 4*c = -1041. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2174519189.\nAnswer: 3359, 647371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s**3 + 2*s**2 + 6*s + 198. What is l(-6)?\nAnswer: -846","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3993316033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/((-137)\/((-5617)\/82))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/26)\/((14\/20)\/(686\/(-147))).\nAnswer: 40\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 + a. Let y(v) = v**2. Let s(r) = l(r) + 4*y(r). Suppose 75*c = 74*c - 5. Let u be (10 + -2 + c)*-1. Give s(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3. Let d(x) be the first derivative of -3*x**2\/2 - 6*x - 36. Calculate 3*d(b) - 6*n(b).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 22. Determine u(6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.2202673nm?\nAnswer: 0.00000002202673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence on when two letters picked without replacement from {p: 1, g: 1, e: 1, n: 5, o: 1}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 2*l - 48. Let t be 6*8 + 0 - -2. Suppose -3*n + t = -l. Calculate the smallest common multiple of 8 and n.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -6*j**2 - 390*j + 3653. Determine n(10).\nAnswer: -847","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 + 172683*m - 518022.\nAnswer: -3*(m - 57558)*(m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 29404913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 5*v + 21 = 1, -4*y - 7*v - 4548 + 4574 = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 623 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 greater than -4510897?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5*-0.019\nAnswer: 0.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-571*k**2 - 825*k**2 + 253*k**2)*(-1 - 1 + 3 - 3 + 1 + 4 - 2 + 2 + 1 + (-3 - 1 + 2)*(3 + 2 - 3) - 4 - 1 + 1).\nAnswer: 4572*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-4 + (24 - 9))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 58235?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 10*s - 4. Suppose 3*w + 324 = s*w. Calculate the remainder when w is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 43568749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffs when three letters picked without replacement from {f: 2, s: 2, q: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 2, l: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -413652 times -148?\nAnswer: 61220496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-58))\/(3\/(-87)). Let x = -14 + 25. Put x, m, -2 in decreasing order.\nAnswer: x, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (4 + -2) - (-11 - -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13\/1*(-4 + 5). What is the greatest common factor of q and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2 - 3)*(0 + y**4 + 0) - 45229*y**4 - 110474*y**4 + 5803517 - 5803517 as q*y**4 + m*y**3 + n + l*y**2 + i*y and give q.\nAnswer: -155701","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 6:39 PM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -21687, 3 in descending order.\nAnswer: 34, 3, -21687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5*w - 2 = -p, -2*w = 4*p - 12. Let t(l) = l**3 + 3*l**2 + l. Let f be t(w). Solve -4*h - 5*r - 10 = 0, f*h + r + 23 = -3*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62451*q**3 + 450*q**2 + 49 wrt q.\nAnswer: -374706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 175 = 166. Solve -3*h + 5*l - b = 3, 5*l = 4*h + 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**3 + 5*g. Let b(c) = -15*c + 3*c + 8*c + c. Let p(m) = 2*m. Let j = -3 - 2. Let i(z) = j*b(z) - 7*p(z). Give -5*i(w) + x(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.05968 rounded to 1 decimal place?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -29. Let t = -7 - y. Let f = -0.11 - -1.11. Which is the nearest to f? (a) t (b) 2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -8, 19, 82, 193, 364, 607, 934?\nAnswer: 1357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(-1)\/7*(-106 + 104). What is the second biggest value in -5, o, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -5*g + 36, 3*d = -3*g + 2 + 10. Suppose 0 = -2*u + u - g. Let h(p) = 2*p + 3. Determine h(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157998 = 4633*z + 482308 for z.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-2)*(-28)\/6. Let h(k) = k + 4. Let f be h(-5). Let x be (-48)\/60*(-5)\/(-2). Sort x, f, o in descending order.\nAnswer: f, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 11. Let o be r(11). Suppose n - 5*n + 20 = o. Solve 4*f - n = -1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-2))\/((-4)\/(-8)) - (17 + -17). Suppose -14*k + 12*k = 0. Suppose -2*z + k = -6. Put z, 10, i in increasing order.\nAnswer: i, z, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 770386.692037 and -677?\nAnswer: 771063.692037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgllglcmgmcgmgl. Give prob of sequence lg.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2707213459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 + 22. What is the units digit of (p\/(-4))\/((-21)\/(-280)*-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1478 is divided by 77?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 + 62 - 13) + 85 + -84?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 - -25.93. What is the nearest to -3\/4 in 1\/3, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.124 (b) 1 (c) -1.1 (d) -1 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12166, -12147, -12114, -12067, -12006, -11931?\nAnswer: -11842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*y + 20*y + 32*p - 631, 2*y = 4*p - 74 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/60*(-16)\/5. Let d be 3 + (-3 - -2 - -3). Suppose -a = -4, -3*z - d = -0*z - 2*a. Which is smaller: z or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 396 divided by -9.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1284 (base 14) to base 9\nAnswer: -4413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 2*j - 22. Suppose c - 3*c + 4 = -h, 0 = -3*h + 3*c. List the prime factors of j*(-6)\/(-16)*h.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 7 + 63)*(-3 + 3 + j**2)*(-4*j**2 - j**3 + 4*j**2).\nAnswer: -89*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.201 and 0.1.\nAnswer: 0.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c - -b?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 47*p**2 - 10*p + 5. Let x be i(5). Let k be 1 + 4 + -3 + 1 + x. Suppose -h - k + 261 = 0. What is h rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -620*x**5 - 4*x - 18 wrt x?\nAnswer: -12400*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -186594.45 to the nearest 100.\nAnswer: -186600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xmmmmmmmmmxmmmxxxmmm. What is prob of sequence xmxx?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 6:40 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 10, b: 2}. Give prob of sequence bb.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p + 18. Let z be t(0). Suppose -4*f - z = 2, -5*w + 3*f + 10 = 0. Suppose 3*g = -12 - 3. Put -9, w, g in descending order.\nAnswer: w, g, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -25. Let q be t\/(2*(-12)\/(-16)) + 1. Suppose 53 = x - 3*w, -2*x + q*w + 103 = -0*x. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 77\/14 - -15?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.014 and -1021415.828.\nAnswer: -1021415.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1370.\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2663197083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**4\/6 + h**2. Suppose -25 = 7*u - 25. Let z(n) = -n - 4*n + 7*n + u*n. Give z(b(x)).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -4 + 22 + (-4)\/(-4) is divided by (-2)\/(-9) - (-176)\/18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/425 + -25901\/3400. What is the common denominator of m and (-190)\/36 + (-2)\/(-6)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 divided by 159?\nAnswer: 277\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/5 + (4 - (-164 + -1)). Suppose -y + 119 = -7*j. Solve -j*z - 34 = 1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 100*v - 757. What are the prime factors of o(-130)?\nAnswer: 151, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2910 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.927325571 rounded to four dps?\nAnswer: -1.9273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56337 - -56339.9991. Let i = s - 3. Round i to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -p**5\/5 + 915*p**4 - 1674450*p**3 + 1532121750*p**2 - 700945700625*p + 3120. Suppose v(j) = 0. What is j?\nAnswer: 915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -10, -27, -50, -79, -114?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 5:23 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.2, 1, 0, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*v - 1. Let q be v\/((-22)\/12 - -2). Let o(d) = -3 - 3*d**3 - 35*d + 4*d**3 + 5*d**2 + 31*d + 10. What is o(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 13 = -3*h - 3*a, 0 = -3*h - 4*a + 21. Solve 4*u + 3*s = 0, s = h*s for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*l + 87*l - 3361 - 5379 = 36*l for l.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 + 4 = 3*u - 5*s, -5*u + 5*s + 70 = 0. Let b be 28\/(-126) + 178\/18. Are b and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3082 rounded to 2 dps?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + 179883352.38.\nAnswer: 179883351.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**3 - 1422290*u**2 + 1422277*u + 17067468 = 0.\nAnswer: -3, 4, 1422289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 0*z**2 - z**2 - z**2. Let u(h) = 8*h**2. Calculate u(r(n)).\nAnswer: 32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -2401*y**3\/3 + 98*y**2 - 4*y + 18. Factor h(s).\nAnswer: -(49*s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ghkclbh. What is prob of picking 1 l and 3 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -5*i + 20, 46*i - 47*i = 5*z - 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1895329 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23009 - -23012. Put -2, 0.2, d, 1\/4, -1\/14 in ascending order.\nAnswer: -2, -1\/14, 0.2, 1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 211957, 211731, 211505, 211279, 211053?\nAnswer: 210827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 82, -5, 3 in ascending order.\nAnswer: -5, 3, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 67\/28? (a) 0.06 (b) -0.1 (c) -2\/19 (d) 6 (e) 3 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 + 102. Is 47 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 862 - 559. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -0.04 (c) -0.4 (d) -4 (e) -0.18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + (-2 + sqrt(208))**2 + -2 + sqrt(325).\nAnswer: -7*sqrt(13) + 210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47 + 14*q + 25 + 25)*(-4 + 3 + 3*q - 4).\nAnswer: 42*q**2 - 61*q - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*u**3 - 299*u**3 + 53*u**3 + 57*u**3 + 60*u**3 + 67*u**3.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4678933209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - t - 2*t)*(-2563 + 14582 + 5544 - 3150 + 5221).\nAnswer: 19634*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -164388 + 246647. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-75)*1)\/(3\/(-5)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-18) + 4\/18. Let j(l) = 3*l**2 - 51*l + 197. Let i be j(11). Which is the closest to m? (a) -4 (b) i (c) 2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 187\/7, -26, -2, 5, -0.15 in increasing order.\nAnswer: -26, -2, -0.15, 5, 187\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.485208 and -1.\nAnswer: -0.485208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 - 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 6\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55275.122556 + 55275. Round b to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63.9 + -61.5. What is the nearest to q in 7, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-1))\/(-1) - 19. Let r be 2\/(-1) + a\/(-2). Let j be 2\/2*0\/2. Solve j = -4*t + 2*t - r for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4\/9)\/(f*f*f**(-9)*f) assuming f is positive.\nAnswer: f**(50\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-30))\/(6\/(-25))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 17*(-42 + 6168\/144 - 51\/18)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -7257621, 0, -5.\nAnswer: -7257621, -5, -1\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**4 - 6*d**3 - d**2 + 24*d - 16 = 0?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-5 + 15) - -5) + 3 + 45 + 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2097 + 1.2.\nAnswer: 2098.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4449467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 134\/3 - 664\/15. Let d = 0.1659 + 0.0341. What is the nearest to -1 in o, 7, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2657 divide 1086813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -990*u**2. Let w(v) = 555*v**2 + 98*v. Calculate w(c(a)).\nAnswer: 543955500*a**4 - 97020*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2836145.699521 - -2836135. Let i = 10.7 + v. What is i rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 316.9731 millilitres to litres.\nAnswer: 0.3169731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153)*2)\/sqrt(9) + (sqrt(119)*1 - sqrt(119))\/sqrt(7))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 4)*(0*d**2 + 2*d**2 + 0*d**2) + 37*d**2 + 3*d**2 + 42*d**2)*(-4 + 3 - 1).\nAnswer: -172*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 36, -0.026, -1\/4 in decreasing order.\nAnswer: 36, 8, -0.026, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/30)\/(-1))\/(7\/(-42))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/7 + (-18)\/14. Suppose -3096*l = -1473*l + 4869. Sort 5, 1, a, l in increasing order.\nAnswer: l, a, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231 + 67 = -38*c + 32 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 57a5 (base 12) in base 3?\nAnswer: 111101222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f + 5192 = 6*f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 12*v - 4. Let u(b) = -18*b + 6. Suppose -4*a + 0*m = -2*m + 14, 13 = -5*a + m. Let n be -2 + (a\/(-3))\/(8\/(-36)). Give n*u(c) - 8*q(c).\nAnswer: -6*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67753034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 2*q**2 + q**2)*(2 - 6 + 2) + 327*q**2 - 3*q**2 + 427*q**2.\nAnswer: 747*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 7*q**2 + 12*q + 1. Determine g(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -555.98 and -3.6.\nAnswer: 2001.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -488, -409, -326, -233, -124, 7, 166?\n\"Answer: a**3 - 4*a**2 + 84*a - 569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4996, 4, 2, 31, -2 in ascending order.\nAnswer: -2, 2, 4, 31, 4996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9.2481 * 0.4\nAnswer: -3.69924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 48*y**2 - 6 - y**3 + 10*y - 3*y - 55*y**2. Let a be l(-8). Suppose -4*m + 4*c = -36, m + 0*m = -c - 1. Is m greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 65*p - 379. Let c be i(-49). What is the greatest common divisor of c and 360?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**2 - 48*q - 216. Let h be k(-6). Let g(f) = f**3 + 4*f**2 + 2*f + 5. Let i be g(-4). Let j be i\/16*2\/1. Which is greater: h or j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20392806 to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -1\/120*d**6 - 2 - 1\/10*d**5 - 5\/24*d**4 + 0*d - 1\/6*d**3 + 4*d**2. Let v(k) be the second derivative of a(k). Give v(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*c**2 + 0 + 2\/7*c - 2\/7*c**4 - 2\/7*c**3.\nAnswer: -2*c*(c - 1)*(c + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1718268634*s + 3 + 1718268632*s - 3.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(5) - sqrt(25)\/sqrt(5)) + -5)*3 - (sqrt(10)\/sqrt(2) + -2 - (sqrt(5)*-2 + 5)).\nAnswer: -3*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19931*d = -19932*d - 5*y + 116, -d = -10*y + 244 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and 59.38?\nAnswer: -3.5628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 - 5)*((-2*w + 0 + 0)*(1 - 1 + 1) + 2 - 4*w - 2 - 9*w + 2*w - 9*w) to o + b*w and give b.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5\/2)\/(g*g**(-4\/5))*g**(1\/16)*g\/g**(-9) assuming g is positive.\nAnswer: g**(589\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.3 times 15?\nAnswer: 199.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367031 is divided by 122330.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from soysosqqfosqssqssqq. What is prob of picking 1 y and 2 o?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.89197 rounded to 1 dp?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 11, 0, 0.3, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*o + 5*s - 3, 4*o - 4*s + 20 = 0. Is -37\/13 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57280 times 20?\nAnswer: -1145600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -95*j - 9. Let z be w(-2). Let m = z - 1631\/9. Let x = -4 + 2. Put 3\/2, m, x in descending order.\nAnswer: 3\/2, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-636)\/(-530)*(46\/6 + -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -45, -49, -55?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2160)*-1)\/sqrt(5) - ((sqrt(21)*1)\/sqrt(7) + -5))**2.\nAnswer: -130*sqrt(3) + 532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 901 and 2650?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*w**2 + 25612*w - 25612*w.\nAnswer: -53*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -20 - 22 - 7*a - 28*a + 41. What is the remainder when q(-2) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -4*n - 18, -35 = 4*n - 27 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 482.8507g to kilograms.\nAnswer: 0.4828507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 17*z - 2. Let u(r) be the first derivative of -r**3\/3 - 13*r**2 - 116*r + 95. Let g be u(-7). What is l(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49 and 4213209.\nAnswer: 29492463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -6*d**5\/5 + 20494*d**4\/5 - 14354222*d**3\/5 - 5588959958*d**2\/5 - 2594425716*d - 740715840 = 0.\nAnswer: -272, -2, -1\/3, 1845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 4*j**2 - j - 14. Let m be (3\/(-4))\/(3\/((-60)\/(-5))). Let s = m - -9. What is the units digit of y(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q + 27. Let t be h(-5). Let k be ((-110)\/(-33))\/((20\/(-6))\/(-5)). Solve -t*i - 13 = -k, 0 = -u - 4*i - 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 11 = 2*u - 3, -4*f = 20. Let o be ((-7)\/(-21))\/(u\/9). Suppose -1 - 4 = p, -o*a + 55 = p. What is the lowest common multiple of 6 and a?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 66.541 nanometers?\nAnswer: 0.000000000066541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 166349.39 and -202?\nAnswer: 166551.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -101 at least 63.88267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17466*z + 17119*z = 34140*z + 60520 for z.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -12651 (base 7) to base 13\nAnswer: -172b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -226991380 to the nearest one hundred thousand.\nAnswer: -227000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjssjhrhrhshls. What is prob of picking 1 s and 1 r?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*((-1 - (-1 + 0)) + 140) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -254045?\nAnswer: -254045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(15\/22) + (-1 - 3)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 1108\/7?\nAnswer: 1108\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3886 = 6834. Suppose -10*s = -6*s - f. Round s to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.26? (a) 1 (b) -3 (c) 0 (d) -3\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 6*h + 1 - 233*h**3 + 0 - 2*h + 234*h**3 + 6*h**2. Suppose -l = 3*o + 13, 5*l - 28 = 4*o + 2. Calculate s(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3770 and (1 - 59)*53\/159*(-156 + 0)?\nAnswer: 15080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/1 + -1*22. Let x = -23 - y. Let b(q) = -q**3 - 6*q**2 - 5*q + 5. Calculate b(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l*l**(-1\/7))\/l))**20\/((l*(l\/l**12)\/l)\/l**(-16\/3)) assuming l is positive.\nAnswer: l**(599\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 39 - 41. Let t(r) = 391*r**2 - 210*r**o - 205*r**2. Let c(m) = -2*m + 2*m - m**2. What is t(c(n))?\nAnswer: -24*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -16580 to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 4)*(-3 + 4 - 5)*(104*n**3 + 48*n**3 - 51*n**3) to the form p + y*n**2 + f*n**3 + c*n and give f.\nAnswer: 1212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(16\/(-4)) + -2 + -10. Let f(z) = -z - 24. Determine f(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 99 = 87 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 104302 (base 6) in base 5?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 71 + 96 = -5*t, 2*z - 5*t = 25 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-208)\/13 + -27 + (-19589)\/(-456).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xyvwhff. Give prob of picking 1 f and 1 y.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*k - 3 - 18 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 6:54 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 + -9 - 10) + -1 + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/(-10)*(1 - -1). Suppose -4*t = p*f - 13, 3*f + 15 = 2*t + t. Suppose 4*n - t*i = 13 + 11, 0 = -3*n + 5*i + 20. Solve n*k + 20 = k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 5:25 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22241.743 + -22649.74441. Let r = d + 408. Round r to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*s + 468995637 = -205254363. What is s rounded to the nearest one hundred thousand?\nAnswer: 11600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16760620 divided by 1676062\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h = 39*h + 240 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 6108*b**2 - 179*b + 178. Is i(1) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 59*b - 319. Give t(-53).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o - 4*h + 368 = 0, 2*h = -48*o + 39*o + 277 for o.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2916 and 17270496?\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -65111 (base 7) to base 6\nAnswer: -202522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -96*r + 2. Let z be n(5). Let i = 130 - -557. Let a = z + i. Calculate the highest common factor of 19 and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/8 + 5\/(-20). Let t(y) be the second derivative of j - y**3 - 1\/2*y**2 - 3*y + 1\/12*y**4. Calculate t(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-2\/29)*s\/(s*s**(-2\/11)*s) assuming s is positive.\nAnswer: s**(80\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w = g + w, 4*g + 4*w = -24 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -384 + 778. List the prime factors of x.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 3088 = 3032. Is 69 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 145 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30258628 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14584656 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*i**2 + 17*i**2 - 32*i**2)*(0*i**2 + 3*i**2 - 5*i**2 + (-i + 3*i - 3*i)*(4*i + 3*i - 5*i)) in the form f*i**2 + y*i + g*i**3 + u + q*i**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2286.077176 and -82?\nAnswer: 2204.077176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 37 - 205 = 0. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14557520 divided by 2911504.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162 and 762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5485979 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 254851 and 37231.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61239814 - 61239814 + 49*a.\nAnswer: 49*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10 - 8 + 3*a + 9*a**5 - 2 wrt a.\nAnswer: 180*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 12*a + 45. Let v be o(-12). Let z = -98 - v. Let f(j) = 16*j**3. Give f(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 0. Let h(b) = 2*b - 12 - 2*b + q - b. Determine h(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8028 and 5004.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + -4)*-6.\nAnswer: -60*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 8:04 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*y + 51*y + 2660 = -139*y for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10\/1193 - -106237\/7158. Let g be 0 + 2 - (-394)\/8. Let n = 1237\/28 - g. Find the common denominator of d and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 17*j - 11. Let y(h) = 3*h - 2. Let g(l) = -4*t(l) + 22*y(l). Let q(z) = z**2. Determine q(g(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-42)\/(-70) + (-2922)\/(-30). Suppose 181*y - 183*y + b = 0. Calculate the greatest common factor of y and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, p: 1, g: 2, v: 1, f: 1, d: 1}. Give prob of sequence dpv.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -1734927*v - 2. Let l(u) = u. Calculate p(l(n)).\nAnswer: -1734927*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -46*s**3\/3 + 2*s + 139. Let i(m) = -m**2. Calculate y(i(r)).\nAnswer: -46*r**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, j: 14}. What is prob of picking 2 a and 2 j?\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 10. Suppose b + b = -2*j - 2, 26 = 2*b - o*j. Solve t - w + 7 = -b, 3*w = -2*t + 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3150*r**2 + 30*r + 19. Is t(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 420072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 5*p - 165. Let h(w) = -11*w + 4. Let o be h(-13). Let z = o - 138. What is the remainder when p is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, s: 2}. What is prob of picking 2 s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/536 and 95\/868?\nAnswer: 116312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4 - 4*z + 5957*z**2 + 19*z - 1 - 1120*z**2. Is t(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*i**3*w - 15*i**2*w - 2*i*w - 582*w wrt i.\nAnswer: -9*i**2*w - 30*i*w - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 873793517?\nAnswer: 37, 41, 576001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 u when four letters picked without replacement from {d: 2, v: 4, u: 9, w: 1}?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) 0 (b) -3 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from duddddcdbdublu. Give prob of sequence bd.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -8557667\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/14 + (-6)\/21. Suppose -6 + a = 2*q - 5*p, 0 = -q + 4*p - 6. What is the second derivative of -12*f - f**2 + 9*f - q*f**2 wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-six fifths of a millennium?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ak when two letters picked without replacement from kkkkkdkkdkddka?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (39\/15 + -3)\/(3\/60). Calculate the least common multiple of 48\/22 - 3\/((-132)\/r) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -u - u. Suppose -5*n = 3*p - 123, -2*n = n - u*p - 67. Solve -m - n = 5*c, -12 = m - 0*c + 2*c for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 658 divided by -158?\nAnswer: -329\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10\/3393 or -1?\nAnswer: 10\/3393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 780*f**2 + 14*f - 12. Let u be g(-8). Suppose 0 = 6*q - 166898 + u. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-126)\/(-12)*5296\/24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 565*g**2*i + 532*g**2 wrt i?\nAnswer: 565*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5561*l - 9. Let k(o) be the third derivative of -695*o**4\/6 + 5*o**3\/6 - 26*o**2. Let y(w) = 2*f(w) + 5*k(w). Is y(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4 - 10*b**3 + 48*b**2 - 8*b - 64.\nAnswer: -2*(b - 2)**2*(b + 1)*(b + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -20992.705 and -0.101.\nAnswer: -20992.806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -10, 3*z - z = -3*x + 2. Let j(s) be the third derivative of s**6\/120 - s**5\/12 + 5*s**4\/24 + s**3\/6 - 2*s**2 + 421. What is j(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -477*c**2. Let v(s) = 30*s**2. Give q(v(z)).\nAnswer: -429300*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+9471\nAnswer: 9470.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by 12208575\nAnswer: 1\/393825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -24190 - 6316*o**3 - 4*o**5 + 59220*o**2 + 81557 - 11798 + 102607 + 268*o**4 - 169344*o = 0. Calculate o.\nAnswer: 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 10*m = 273. Let z = m + 35. Solve -4*a + 2*n = -10, 0 = -5*a - n + 4*n + z for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14167 + -6603. Let r = j - 2927. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -202, 0.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {g: 3, w: 2, p: 9, x: 4}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (3 + -10 + 5)*-296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = y - 12. Suppose 5*c - y = 4. Suppose -c*q + 0*q = -574. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 7:29 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - m + 1181, -4*f = -0*f + 3*m - 1175. List the prime factors of 5 + -7 - f\/(-2).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 - -31. Let b be (-20)\/(4 + c) + -15. Let g = b + 19. Solve g*z = -4*z + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.8 - -86.8. Let c = -29 + t. Let j = -24 + c. Is j > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + q + 9 - 3 = 0, 0 = 2*d - 4*q - 6. Let u(h) = 9 + h - d*h - h. Let i(n) = -2*n + 5. Determine -7*i(v) + 4*u(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 9, -103.\nAnswer: -103, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 - -39. Is 17\/(l\/((-68)\/(-4))) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10303138 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12174 and 23754.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-693))\/((644\/28)\/(-69))\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, q: 7, a: 5}. Give prob of sequence au.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 731341 (base 9) to base 15.\nAnswer: 8890a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + -26 - (0 + (3 - 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -325571 and -325571 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 - 3)*(0*s - s - 4*s) in the form j + b*s and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1345203 - -1344624.303. Let d = -579 - g. Let a = d + 0.3029737. Round a to six dps.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 8*h**2 + 8*h - 10. Let q be j(7). Let t(p) = -11*p**2 + 19*p + 40. Let v(y) = -3*y**2 + 6*y + 12. Let i(f) = 2*t(f) - 7*v(f). Determine i(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4330*g - 177534. Calculate v(-41).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 15. Suppose o*a + 18 = a. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 r when three letters picked without replacement from {v: 3, d: 2, r: 2, s: 3, o: 1, c: 4}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-2)*7\/(-14) + 1)*-2\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 + -3. Let i = 43 - s. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2.8 (b) 2 (c) 125658\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-one halves of a millennium?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -21a21a (base 11) to base 8\nAnswer: -1254154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.28 - 0.02. Let s = t + 0.1. Let q = s + 0.2. Which is the second smallest value? (a) q (b) 1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 - 25*o + 24.\nAnswer: (o - 24)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 387 + -3?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -47459 and 5?\nAnswer: 47464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15979186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10.77 - -0.23. Let w = -15 + b. Let a = -0.7 + 0.2. What is the third smallest value in a, 4, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 2150971092.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(684)*2 + sqrt(684).\nAnswer: -1 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -8*l + 60. Let k be n(7). Suppose 5*o + k*r = -19, 6*o + r - 2 = 7*o. What is the smallest value in 3, 1\/8, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -69\/7*u**2 - 3\/7*u**5 - 30\/7*u + 48\/7 + 33\/7*u**3 + 3*u**4 = 0. What is u?\nAnswer: -2, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(5\/3)*(-238)\/357?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -177732 >= -179863?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-110959)\/34 + 9\/(-6). What is the tens digit of (-4)\/(-12) - (q\/3)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47320 divided by -104.\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 320*g - 313*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5*b - 34, -12 = b - 2*b + 3*s. Solve 20*w = b*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 7:04 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 96154, 96161, 96182, 96223, 96290, 96389, 96526, 96707?\n\"Answer: d**3 + d**2 - 3*d + 96155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 525469*a**2*z**2 + 2*a**2 - 384490 wrt z?\nAnswer: 1050938*a**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14.47 (b) 5\/2 (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/(-1))\/(0 + (5 - 7)). Let t(x) = x**2 + x + 6. Let c be t(f). Suppose s + c*z - 22 = 3*z, -32 = -2*s - 3*z. Is s at least 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -6*k**3 + 3*k**2 - 3*k - 2. Let y = 26 + -23. Suppose -4*u - y = 9. Let x(i) = 5*i - 15*i**3 + 41*i**3 - 5*i**2 - 15*i**3 + 3. Give u*x(z) - 5*v(z).\nAnswer: -3*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*g + 8, 2*g - 7*g = -p - 14. Let k be ((-20)\/16)\/(g\/(-12)). Is 5 equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.51 - -0.01. Let k = c + 0.6. Let f = -0.1 + k. What is the closest to f in -2\/7, 5, 0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6 times -2760658?\nAnswer: 4417052.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -607\/17, -2\/5, -2, 2\/31, 148 in ascending order.\nAnswer: -607\/17, -2, -2\/5, 2\/31, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 19 = -4*v. What is the lowest common multiple of (2\/(-7))\/((-3)\/231) and v?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*r - c, r + 4*c - 1 = 5. Put r, 4, 2 in ascending order.\nAnswer: r, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6902, -13806, -20710, -27614, -34518?\n\"Answer: -6904*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 14*c - 3. Let u(t) = 37*t - 11. Let a(v) = -5*j(v) + 2*u(v). Determine a(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s\/(s*s*s\/s**(-2\/5)*s)*s*s)*s**(-4\/5)*(s\/s**(-7))\/((s\/s**1)\/s*s*s))**8)**(-2\/41) assuming s is positive.\nAnswer: s**(-608\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-172)\/(-44) - 4)*1. Which is the third smallest value? (a) u (b) 0.4 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-135)*30)\/((-86)\/(-3))?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -249 - 16*x**3 - 8*x + 20*x**2 + 4*x**4 + 249 = 0. Calculate x.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 4. Let n = 11 - 6. What is the remainder when 4 - (-6 + 3)\/m is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 644\/42 + 77\/21 + -4\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -588?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11303639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 5824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of 559*s**7\/30 + 853*s**3\/3 + 3225*s**2. Find the first derivative of t(l) wrt l.\nAnswer: 15652*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0*g - 3 = 5*g, -3*x + 4*g + 21 = 0. Let c be x - (-1 - -2)*-1. Suppose 155*a + 30 = 3*d + 150*a, 72 = -4*d - 12*a. Solve d = c*f - 0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3949 is divided by 162.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 6*p - 7. Calculate h(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/(-6))\/1)\/2*(-8)\/50.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1266 - -1265.7987. Let y = 0.2014099 + t. What is y rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113153 is divided by 290.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l - 136. Let q(t) = -227*t. Determine q(c(n)).\nAnswer: 454*n + 30872","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (20 - 24) + (-936)\/(-1). Suppose -c = 9*v - 7322. What are the prime factors of v?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72\/7 - 323\/28. Let y = 9.9 - 0.9. Let f = y + -8.9. Which is the third biggest value? (a) w (b) f (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -279538 and 0.02.\nAnswer: -5590.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 124145 (base 6) in base 7?\nAnswer: 44636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4847231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 321*u**2. Let b(m) = -m - 7. Determine x(b(k)).\nAnswer: 321*k**2 + 4494*k + 15729","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, -43, -210, -539, -1084, -1899, -3038, -4555?\nAnswer: -6504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -5. Suppose -u*g = -2*h + 82, -5*g + h + 11 = 118. Let c = g + 33. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73 (base 10) to base 16\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2\/13, 3, 0.4, -5.6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2492919 greater than or equal to -56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 731*r - 189*r + 1130*r + 45*r**5 wrt r.\nAnswer: 900*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b + 12*b = -11*b. What is the smallest value in b, 0.2, 4, 1.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10560 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 8*r + 5. Let y(k) = -k + 1. Let n(u) = f(u) - 5*y(u). Let h(j) = -16*j + 8*j - 22*j + 18*j. Determine h(n(i)).\nAnswer: -156*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 994202?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**2 + 426953176*k - 11393063406030436 = 0. Calculate k.\nAnswer: 53369147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-20\/7)\/(c**(9\/8)\/c) assuming c is positive.\nAnswer: c**(-167\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3413397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-78)\/90 - (-4)\/20. Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 4*b - 1. Let r be s(-5). Let q = 15 + r. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60397 divided by 6?\nAnswer: -60397\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 561 or 212?\nAnswer: 561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2815439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 10, j: 2, s: 3, v: 5}. Give prob of sequence svh.\nAnswer: 5\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 11:35 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36545*w**2 + 46943.\nAnswer: -73090*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (3 + (1 - -2) - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -41, 27?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 312340*t*v + 62*t + 45137386*v wrt t.\nAnswer: 312340*v + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/(-7)*(-6)\/(-30)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 801845 and 4819.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 2*d + 40. Let y = 57 + d. What is the remainder when y is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.9 - -12. Let f = q + -3. Let h = 54.2 - 54. Which is the second smallest value? (a) h (b) 1\/4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1778*l - 44*l - 80168 for l.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**8\/112 - u**7\/70 + u**6\/40 + u**5\/20 + 3*u**2\/2 - 6. Let f(x) be the second derivative of n(x). Factor f(c).\nAnswer: -3*c**2*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -102*s + 104. Give b(2).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 21a2 (base 11) to base 5\nAnswer: 43040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -68 + 90. Suppose 6*x + a + 20 = 0. Let q(c) = -c - 8. Let z(n) = 1. Let h(g) = -q(g) + z(g). What is h(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1055, 4858, 20961, 52348, 104113, 181350, 289153, 432616?\nAnswer: 616833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16 (b) -14 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 30*h - 116. Determine i(-19).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - p + 10*p)*(-2 + 3 + 1)*(-90 + 50*p + 90).\nAnswer: 1300*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1341 + 1248. Sort s, -2.1, 0.3 in decreasing order.\nAnswer: 0.3, -2.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 34*a**2 + a. Let l(s) = -169*s**2 - 4041*s + 4072324. Let r(v) = 4*l(v) + 20*p(v). Suppose r(d) = 0. Calculate d.\nAnswer: 2018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 7:01 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1751.\nAnswer: 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25 and 2.72.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 146489 = 10401. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*((x\/(x\/(x\/x**(-2\/13)))*x)\/x*x)\/x)\/(x*x**10))**(-1))**(34\/3) assuming x is positive.\nAnswer: x**(3910\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3637 divide 435996286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 bigger than -2\/87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w**2 + 6 + 4*w - 11*w + 9*w)*(-2*w - 2 + 2) + (2 - 2*w**2 - 2)*(-2 + 2 - w) to k*w**2 + j + o*w + s*w**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-4))\/(2\/8). Suppose -5*o + 4 = n + 7, -5*n + 8 = 2*o. What are the prime factors of (v - n - -3) + 18?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*u**3 - 72\/5*u**2 + 1\/5*u**4 + 0*u + 0.\nAnswer: u**2*(u - 9)*(u + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 3*i**2 + 6*i - 3. Let m be z(4). Suppose m*n - 16 = n. Suppose 8 = 6*o - n. Solve -w - 3 = -2*v, 0 = -v + 3*v - o*w for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -218 - 446. Calculate the common denominator of u\/32 - (-1)\/2 and -85\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -116 + 60. Let j = 69 + p. What is the units digit of (-3*1)\/(j\/(-416))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*z - z. Suppose 2*w = -2*l + 2, 0*l = -4*w - l - 8. Let d(b) = -b**3 - 3. Let t be d(w). Solve -y - z*c - t = 0, -5 - 26 = 4*y + 3*c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 60*g - 62*g. Suppose 5*f = 10, 0*d + 4*f = 2*d - g. Calculate the remainder when 69 is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (-3 + 7)) + (2 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -806\/5, 0.1, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 3*j + 4, h - 3*j - 5 = 0. Suppose 0 = -h*w + v + 144, -4*w - v = -0*w - 288. Solve -74*f + w*f = 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 m when two letters picked without replacement from mympemj?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 - -45. Let o be -4 + r\/(-39)*27. Put o, -5, -3\/5 in increasing order.\nAnswer: -5, -3\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16 - -27?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 2*q**2 + 174. Calculate h(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 5)*(2 - 2 - 2*h)*(-11*h**2 + 7*h**2 - 7*h**2) in the form n*h + k + g*h**2 + u*h**3 and give u.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1229, -2492, -3753, -5012?\n\"Answer: s**2 - 1266*s + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s + 1 + 12*s**2 - 4*s**2 - 9*s**2. Let o = 25 + -37. Let b = 17 + o. What is a(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of 7*x**4\/24 + 11*x**2. Let r(k) = -2*k. Determine r(y(w)).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3930170584 to the nearest integer?\nAnswer: 1578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -11. Solve -n + 5*n = l for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 5*o + 32, 0 = -0*o - o. Suppose 12 = -3*g, 3*n - 7*n + i = 5*g. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1535, -10, -4, -994, 3, -5 in decreasing order.\nAnswer: 1535, 3, -4, -5, -10, -994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 436497516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6306677 + 7183323. What is c rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-792)\/(-80))\/(-11)*5\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 s when four letters picked without replacement from {v: 3, s: 2, u: 12}.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*v = 4, -101*v + 98*v + 12 = 0. Let t(z) be the third derivative of -7*z**2 + 0*z - 1\/60*z**5 + 2\/3*z**3 + 1\/8*z**p + 0. What is t(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 6*i**2 + 6*i + 3. Let t be (-6 + 9)\/((-6)\/8). List the prime factors of d(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 0.052?\nAnswer: 0.0208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.041591*-0.59\nAnswer: -0.02453869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 8*s**3 - 3*s**2 + 3*s - 3. Let h = -71 - -68. Let k(u) = -15*u**3 + 5*u**2 - 5*u + 5. Determine h*k(i) - 5*x(i).\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 2*o**7\/35 + o**4\/12 - 31*o**3\/6 - 33*o**2. Find the second derivative of w(h) wrt h.\nAnswer: 144*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1134505535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 5*a - 2*y, -95 = a - 3*y - 126 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -194 + 324. Calculate the highest common factor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1681, 9, -4 in decreasing order.\nAnswer: 9, -4, -1681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 41 - 13?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18\/(-4))\/((-9)\/51). Let t = 27 - d. Which is the third biggest value? (a) t (b) 1\/12 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -8. Suppose -2*y + 29 = 5*g, -y + z*g - 13 = -0*y. Suppose -k - 2*u = u - 95, y = u. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqfqqfff. What is prob of sequence eff?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -10314.\nAnswer: -5\/10314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7946 (base 10) in base 13?\nAnswer: -3803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -2 - (-2 - -7 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 9 + 5. Sort c, -6, 0 in decreasing order.\nAnswer: 0, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 358.2 (b) 4 (c) -39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-138*w**2 - 12*w**2 - 203*w**2)*(-3 + 2 - 1)*(1 - 2 + 2) as j*w**2 + b + r*w and give j.\nAnswer: 706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54442 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence la when two letters picked without replacement from lzllpzlnllpplllllaz.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2443 a factor of 434453348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25393\/6587 - -2\/941. Calculate the common denominator of l and 2\/(-15)*(-516)\/(-16).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+17293890819\nAnswer: 17293890819.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -12 (c) -1 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 (base 9) in base 3?\nAnswer: 112222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3\/8, -6, -3 in descending order.\nAnswer: -3\/8, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 187998 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-396)\/44 - ((-24 - -98) + (-3 - 2))\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (25 - 5) - -6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 16, 0.1, -1?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (1009\/2)\/((-3)\/18*-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2 + 41*o + 14. Let u be t(21). Let x(g) = -4*g - 2. Let y(a) = 13*a + 7. Calculate u*x(m) - 2*y(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + 0. Let s(j) = -j**3 + 21*j**2 - 53*j - 10. Let h be s(18). Let d be ((-2)\/h)\/(33\/66). Which is the nearest to d? (a) y (b) 2 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1760, -0.2, -472\/5 in increasing order.\nAnswer: -472\/5, -0.2, 1760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 950.001594 + -950. Round k to four dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 1.9979\nAnswer: 0.99895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3415\/6 - (-4)\/(-24). Suppose -6*q + 2153 - u = 0. What is the highest common factor of 24 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnzwnnwn. What is prob of picking 1 w and 1 n?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-5) - (-2)\/5. Suppose -4*w + 42 = -2*k, -2 = k + l. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29300 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1537*w - 3*w**2 - 788*w - 617*w.\nAnswer: -3*w*(w - 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9637957?\nAnswer: 7, 28099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 13 - 17, -3*x + 264 = 4*t. What is the greatest common factor of 46 and t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14737 + 14733.7105. Round h to 2 decimal places.\nAnswer: -3.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*a = -2. Solve a*j + 15 - 5 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 186*j - 11*j**2 - 186*j to y*j + m*j**2 + n and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -1164*z**2 + 476*z**3 - 684*z + 309 - 16*z**4 + 573 + 90 = 0.\nAnswer: -1, 3\/4, 3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -660391793*z**2 + 1320783583*z**2 - 660391792*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 11 + 21 = 0. Calculate the common denominator of (65\/30)\/((-1)\/(27\/p)) and 285\/(-240) - 1\/(-1).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -24*x**2 + 41*x + 13. Let t(m) = -30*m**2 + 51*m + 16. Give -11*d(i) + 9*t(i).\nAnswer: -6*i**2 + 8*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1905073*m**4*p + 2*m**4 + 13*m**2*p + 2*m**2 - 2*m*p - 95851*m + 2 wrt m?\nAnswer: 45721752*m*p + 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4*j = 2*r - 16, -2*r = 2*j - 8. Suppose f - 18 = -r*f. Let c = -8 + 18. Calculate the remainder when f is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 3*y + 6*d + 18, d - 24 = -4*y. Solve -6 = -2*s - x, -4*x + 2*x = y*s - 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**5\/20 + 5*r**4\/12 + r**3\/2 + 7*r**2\/2 - 443*r. Let w(u) = -u**3 + 5*u**2 - u. Let q be w(5). Calculate c(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11766*c + 26705*c + 33286*c + 11017*c - 3.\nAnswer: 59242*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvxo when four letters picked without replacement from zzzxzzvxzzozxxz.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 31116 divided by 3?\nAnswer: 10372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + n**3 + 6 + (1 - 1 - n)*(0 + 0 + 2*n**2) + n**3 + 0*n**3 - 3*n**3.\nAnswer: -3*n**3 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (41 - 38 - (1 - 0))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1051 (base 6) to base 4.\nAnswer: 3313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1466?\nAnswer: 2, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 18, d: 1}?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000844461 rounded to six decimal places?\nAnswer: 0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 18*l**2 + 4*l + 13. Let u(x) = x**3 + 8*x**2 + 7*x + 18. Let n = 65 + -72. Let p be u(n). Is d(p) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c + 11. Let h be r(1). Is (0 - 2)*((-18021)\/h - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1078614 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.11 and 0.4.\nAnswer: 0.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 317 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (24 + 2 - 0 - -2). Which is smaller: 3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6538 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 912 or 931?\nAnswer: 912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -16. Let y(t) be the second derivative of -1\/10*t**5 - 1\/7*t**7 + 0*t**2 + w*t + 0*t**4 + 0 + 0*t**3 - 4\/15*t**6. Solve y(r) = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/60)\/(2698\/(-90) - -30).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4323863?\nAnswer: 61, 73, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*n + 22 + 43*n + 24*n - 17*n**2.\nAnswer: -17*n**2 - 17*n + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2140 and 91592?\nAnswer: 457960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b - 6. Let q be d(7). Suppose 12 = -2*m + 4*m. Let l(o) = 2*o - 9. Let r be l(m). Solve q = r*i - 2*w, -6 + 18 = -2*i - 4*w for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*o = -3*o + 3, z - 2*o = -1. Solve z + 1 = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3*r - 10 = 0, 2*b - 3*r = b + 10. Solve b*s = -10 - 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -105.7 - -107. Which is the third smallest value? (a) -2 (b) 0 (c) 3 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from urwhuuuhuuusus. What is prob of sequence whr?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**3 - 3*k**2 - 3*k**2 - 3*k - k + k**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 8:53 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(12)\/(sqrt(6)*-1))**2 + 2*sqrt(162) - (sqrt(72)*-1 + sqrt(18) + sqrt(18) + sqrt(288) + sqrt(18) + 4).\nAnswer: -2 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55261626 is divided by 18420514?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5406551.\nAnswer: 37, 47, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 820555*k + 820556*k - 1641112*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 32 = -5*y, -6*a = -2*a + 3*y - 64. Suppose 0 = 3*x - 56 - a. Let s = -10 + x. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = q + 21. Let h = q - 3. Let x be (-2)\/(-4)*192\/8. Solve h*t + 0 = x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 3024?\nAnswer: 3024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-3)*(-382)\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d + 4*d + 7*d - 21*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 8, -51430, 40?\nAnswer: -51430","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 61, -0.5193, -3\/5, 2?\nAnswer: -0.5193","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 - 69. Let z = w - -56. Calculate the remainder when 235 is divided by z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1947\/9 + 2\/(-6). Calculate the highest common divisor of s and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 15*p**2 - 16*p + 33. Let h be b(14). Let a be (h\/2 - 2)\/((-14)\/(-28)). Is a > 2\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(1539)*1)**2.\nAnswer: 153900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 29, 0.01, -1.71, 5, 2?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72 + -86. Which is greater: k or -16?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(448)*5 - (sqrt(448) - (0 + 3*sqrt(448)))) + -5)*-5*-2)**2.\nAnswer: 64000*sqrt(7) + 2869700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 4*i + 300, -3*o - i = 43 + 178. Put 3, -1, -3, o in ascending order.\nAnswer: o, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**4 - 2*t**4 + 0*t**4)*(-3*t - 232 + 232) + 2*t**5 + 11*t**5 + 2*t**5 + 4*t**5.\nAnswer: 22*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -384\/265 - -204\/53. Which is the nearest to z? (a) -4\/7 (b) -5 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12312 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*(sqrt(133) - (sqrt(133) - sqrt(133)*3) - sqrt(133) - sqrt(133)))\/(sqrt(70)\/(4*(sqrt(10) + sqrt(40)\/sqrt(4)))) + 3.\nAnswer: 3 + 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-87 - -35) + -7 + 1 + 0?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 972 - 1395. Let r = d - -561. Is r a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c - 3. Let y(m) = -7 + 3 + 5 + 5*m - 3. Let a(k) = -4*d(k) + 5*y(k). Give a(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 504415 is divided by 168134?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3899279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and -1980690522.\nAnswer: -1980690522.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -0*f + 2*c + 109, -2*c = 4. Suppose -z + 70 + 134 = 0. Suppose 5*r = z + 1. Calculate the remainder when r is divided by f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 133\/5 + -527\/20. Let v = 0 + 0.4. Let f(x) = x**3 - 3*x**2 - 6*x + 1. Let m be f(4). What is the biggest value in m, l, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 8:59 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwwwwwuwuu. What is prob of sequence uuu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 991531275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 8 = 0, -4*v - 134 + 632 = 5*k. Is v + 0\/(-4) - 0 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -92, -108, -134, -170, -216, -272, -338?\n\"Answer: -5*t**2 - t - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + -7 + -46 - (1 + 2). Let v = t + 50. Let z(o) = o + 7. Let p be z(-7). Which is the fourth smallest value? (a) 6\/5 (b) v (c) 3 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 14*a**2 + 27*a + 8. Let i = -27 + 17. Let f be d(i). List the prime factors of (-15)\/(-10)*f - 1.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -365196 divided by 52.\nAnswer: -7023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-7)*q**(2\/7)\/q)**(-11)\/((q*q**(-2\/13))\/q*q*q*q*(q**(-7)\/q*q)\/q)**(23\/4) assuming q is positive.\nAnswer: q**(37671\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2926 divide 2670484148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5 = 0, -2*l + 0*l = -4*h - 42. Is 8 a factor of (-32)\/6*(585\/6)\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 822247961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -20.8, -2, -0.27?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9219.\nAnswer: 3, 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 135 - 943\/7. Let f = -2095\/3 + 698. What is the third smallest value in -3, d, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4540196 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2192 and 4821715?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.1 + 7. Which is the fourth smallest value? (a) -6 (b) m (c) -0.5 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (294\/882)\/(2\/90).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {l: 2, w: 5, n: 3, i: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005609 rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q + 1. Let j(n) = -n**2 + 3*n - 6. Let b(w) = j(w) + 4*r(w). Let c = -7 + 6. Let i be 3\/3*-1 - c. Determine b(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 4:18 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7, 46, -5, 3, -6, 14.\nAnswer: -6, -5, -2, 3, 7, 14, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - -32?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -337e?\nAnswer: -3381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 4. Let t(f) = f + 2. Let b be t(-5). Determine v(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (71 - 314470\/4428)\/(4\/(-18))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdiffffffsss. What is prob of sequence ds?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 4 = -9*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 74*y + 71*y + 16*y - 58*y in the form f*y + i and give f.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((4*(4*(-1*sqrt(50) - sqrt(50)) - (sqrt(50) + (sqrt(500)\/(sqrt(30)\/sqrt(3)) - sqrt(50)))))\/(-1*-4*sqrt(10)*2*-2))**2.\nAnswer: -405\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 6*l - 11. Suppose -p + 1 - 9 = 0. Let w be s(p). Suppose 0 = 5*y + w*b - 35, y + 1 - 8 = 3*b. Is y equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2150000 = 5*o + 2*q, -2*q + 4*q - 2150000 = 5*o. What is o rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020 (base 3) in base 13?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15.01999599 + -15.02. What is d rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -786*d + 593*d = -1930. Let w(r) = r. Let z be w(-3). Let j = -1 - z. Solve 0*u + d = -j*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/86 and 99\/6962.\nAnswer: 299366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25 + 4064?\nAnswer: 4122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s**2 + 9*s**2 + 2*s**3 - 2*s**2 to the form c + r*s + q*s**2 + n*s**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 12:49 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 63\/(-36) + 23\/4. Solve -6 = x*o - 3*f + 6*f, -4*o + 2*f = -4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 - 1940\/(-16) - (-4)\/(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197380 >= 197379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 3*j**2 + 3. Let q be m(3). Suppose -126 = q*z - 6. Let h = z + 39. Does 1\/6 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2. Let r(j) = 3*j**2 + 19*j. Give r(d(i)).\nAnswer: 3*i**4 - 19*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -321, -763, -1319, -1989, -2773, -3671?\nAnswer: -4683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15, 54, 129, 240?\n\"Answer: 18*d**2 - 15*d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -450, -2294, -5374, -9690, -15242, -22030?\n\"Answer: -618*d**2 + 10*d + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + -6*sqrt(1377)*2*-6 + 4*(sqrt(1377) + sqrt(1377) + -2*(2*sqrt(1377) + sqrt(1377) + sqrt(1377)) + sqrt(1377)))**2.\nAnswer: -18617060 + 9360*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from efajjejoofqaaa. Give prob of picking 1 f and 1 q.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42905772, -42905771, -42905770?\nAnswer: -42905769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253 = -19*n - 33*n + 267 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 550\/21 - (-9572)\/(-50253).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 7*w - 49. Let f(x) = 9*x + 60. Let b be f(-8). Let z be a(b). Which is greater: z or -108?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 909917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v. Let o be c(-4). What is the remainder when -10*(12\/o + -2) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7479\/297 + 4\/(-22). Solve 0 = 5*t + w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - f + 381 = f, 0 = -k - 5*f + 90. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -54627*k. Let z(l) = -143*l. Let n(g) = 4*r(g) - 1529*z(g). Is n(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46.06 + -47. Let l = 0.06 - x. Let y = -2 + l. Are y and -0.2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 270 = z, 5*z = -5*i - 240 - 1200. Let j(n) = -n**3 + 3*n**2 + 3*n - 21. Let a be j(6). Let y = a - z. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 4*g - 10 = 0, 2*j - g + 1 - 2 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - u - 2. Let b(p) = -5*p - 26. Let q be b(-5). Let i be ((-1)\/(-1) + q)\/(-2). Calculate r(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 4\/7, -0.12, -2\/53?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 4*z = 13, -5 + 3 = -2*f + 2*z for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2807 divided by 6?\nAnswer: 2807\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4505 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-99)\/(-21) - 2) + -3.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/12*(-3)\/(-2). What is the first derivative of -4*n + 4*n - n**2 - 4 + 3*n**s wrt n?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -524 + 0?\nAnswer: -524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7570 is divided by 421?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2 + 260*w + 8*w**4 + 8*w**4 - 106*w. Let l(i) = -i + 1. Let g(p) = -b(p) + 2*l(p). What is the second derivative of g(h) wrt h?\nAnswer: -192*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -37958?\nAnswer: 37954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10571, -8528, -6517, -4544, -2615, -736?\nAnswer: 1087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*m*o*x**3 + 721*m*o + 4*o*x**3 + 249*o*x**2 - 2 wrt m.\nAnswer: -4*o*x**3 + 721*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*0.001.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*x + 22 = 0. What is the lowest common multiple of x and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -8, -5, 120, 81 in increasing order.\nAnswer: -8, -5, -4, 0, 81, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37348 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of 21*y**7\/10 - y**6\/60 + 11*y**5\/60 + y**4\/12 - 810*y**2 + 1. What is the third derivative of f(b) wrt b?\nAnswer: 10584*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*n + 40, -2*n - 67 = -2*h + 9. Calculate the lowest common multiple of h and (-42)\/(0 - (2 - 1)).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: (((-18870)\/(-1036))\/255)\/(3\/42)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3\/(-7 + (-240)\/(-35) + (-27224)\/(-190274))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -230*f**3 - 21405*f**2 + 20225*f + 1410.\nAnswer: -5*(f - 1)*(f + 94)*(46*f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(7\/5)*c)\/((c\/(c**(-4)\/c))\/c*c)*(c*c\/c**(3\/2)*c)\/c*c**(-2))\/(c**9*c\/((c\/(c\/c**5)*c)\/c))**(-21) assuming c is positive.\nAnswer: c**(999\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003704084214 to seven decimal places.\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 4. Let m = q + -8. Which is the closest to -0.4? (a) m (b) -3\/2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + q - 1. Let j(b) = -b**2 + 4*b - 1. Let y(d) = j(d) - 4*x(d). Let g be y(-3). What is the units digit of 2*(g\/(-4))\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -294, -3054, -10542, -25122, -49158, -85014, -135054, -201642?\n\"Answer: -394*v**3 - 2*v + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0*v)**(-20)*v\/(v\/v**(-1\/32)*v*v*v)*v**(-21))**27 assuming v is positive.\nAnswer: v**(-38043\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 7 = -6*t. Let n = 957332\/9 - 106474. Let p = n - -104. What is the closest to -1 in t, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13193*i + 1468152 = 1224*i + 317*i for i.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/4 of a centimeter?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**3 + 4281405*k**2 + 89907400*k + 85626000 = 0. Calculate k.\nAnswer: -856260, -20, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -175341864 divided by -2971896\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(1456\/(-39)) - 22\/35?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 282?\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 498370 - 498365.25374. Let t = s + -4.74. Round t to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -512*r + 516*r - 23 = -2*k - 25, 8*k = -3*r + 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3995 + 5*y**3 + 3990 - 7985.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 11, -3\/5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68822682?\nAnswer: 2, 3, 41, 279767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10115114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -26\/3 (b) 3\/7 (c) -0.1 (d) 7 (e) 3\/2 (f) -0.4 (g) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44172324 by -116858.\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34436230 and 2.\nAnswer: 34436230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/3)\/1*0. Let b = 2 + g. Suppose 1 = -b*d + 5. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 528746?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 243855817763 and 0.058?\nAnswer: 243855817762.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-15*7\/(-70)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 2782 + 1857 = -4898. Calculate the highest common factor of x and 408.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i + 4. What is the least common multiple of w(1) and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -27*h - 21. Let t be i(-1). Let y(d) be the second derivative of 2*d - 2\/165*d**t - 1\/231*d**7 + 0 + 0*d**3 + 0*d**5 + 0*d**2 + 0*d**4. Factor y(k).\nAnswer: -2*k**4*(k + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.924 rounded to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11584793?\nAnswer: 11, 31, 53, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4080 and 885?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4*g - 44 = -0, 79 = 5*p - g. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15481, -15883, -16559, -17515, -18757, -20291, -22123, -24259?\n\"Answer: -p**3 - 131*p**2 - 2*p - 15347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9298 to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/8 and -57\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 594, 816, 1014, 1176, 1290, 1344, 1326, 1224?\n\"Answer: -2*j**3 + 236*j + 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + -18164344596.\nAnswer: -18164344596.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**3 + 3*x**4 - 6 + 10 + 2 + 164*x - 165*x as h*x**2 + b*x + y + p*x**4 + q*x**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + i - 2*i)*(i**3 - 2*i**2 + 2*i**2) + (-4*i - 2*i**2 + 4*i)*(3*i**2 - 3*i**2 - i**2) + 133 + 20*i**4 - 133.\nAnswer: 23*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1348 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2786, -3397, -3990, -4559, -5098?\nAnswer: -5601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m - 2. Suppose -13*x - 38 = -15*x. Let r(n) = n - 23. Let w be r(x). Give i(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 26 + 162\/27 + 8. Solve 0 = -g*w + 25 - 105 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**4 - y**3 - y**2 + y - 1. Let d(i) = -5*i**4 + 2*i**3 + 2*i**2 - 2*i. Let h(g) = -2*d(g) - 4*n(g). Differentiate h(z) wrt z.\nAnswer: 24*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (1 + 1 - (-35 - -5 - -18))) + -43?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 7:26 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a century in months?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -29 + 29 + 1 - 131*h as m + x*h and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-58 + 59)\/((-2)\/(-36)). Calculate the greatest common factor of d and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2. Let w(m) = -5 + m - 4*m + 2*m + 4. Let k be ((-6)\/27)\/(-1) + (-1087)\/(-9). Let f = 124 - k. What is f*w(n) - x(n)?\nAnswer: -3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -229 or 8.75?\nAnswer: -229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75 - 60. Calculate the highest common factor of t and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g + 3 = 13*g. Round g to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -2\/9, -128 in descending order.\nAnswer: 1\/4, -2\/9, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*a = 404, 5*a + 674 - 1734 = -5*z. Let n = -1304 + 1334. Calculate the remainder when z is divided by n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.32 + -0.32. What is the nearest to -1\/2 in i, -1\/7, 3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v + 22*v = 43*v - 4680. Calculate the remainder when v is divided by 150.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2 - 369*f + 3978. What is x(173)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-3348)\/(-15))\/3)\/2. Let h = p - 37. Factor 2\/5*b - h - 1\/5*b**2.\nAnswer: -(b - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -8986016?\nAnswer: -9\/8986016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 6*m**2 + 2*m. Let z(l) = -l**2 - 3*l + 4. Let q(c) = -2*c + 3. Let v(o) = 4*q(o) - 3*z(o). Determine -2*a(x) + 5*v(x).\nAnswer: 3*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n + 2. Let g be b(-3). Let j = 1.155 + -0.055. Let z = 0.7 - j. What is the closest to g in z, 0.5, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1639, -1206, -21, 2294, 6117?\n\"Answer: 63*g**3 - 2*g**2 - 2*g - 1698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 + 495*h**2 + 1397400*h - 335818000.\nAnswer: -5*(h - 340)**2*(h + 581)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 74583683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 904 = -4*n, 4*n - 241 - 691 = 4*v. Suppose 211*d + 216 = n*d. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**2\/4 - 65*v\/4 + 11285\/2 = 0. What is v?\nAnswer: -74, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 573*v**2 - 161*v - 610. What is the units digit of r(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l**2 + 155 - 74 - 81. Let h(o) = o**2. Calculate h(b(j)).\nAnswer: 16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 14 + 1 - 176*a + 180*a. Let q(l) = 12*l + 42. Let o(p) = -8*n(p) + 3*q(p). Let h(w) = -2*w - 3. Determine 9*h(d) + 4*o(d).\nAnswer: -2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y - 94 = -12*y. Let t = y - -174. Is t greater than 128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6*51\/34*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -6.8 (c) -5\/4 (d) 30 (e) -41\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 41\/2 of a century?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.87613 millilitres in litres?\nAnswer: 0.02687613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + -16 + 4 + -7. Let z be 4*(1 + -2 - q). Suppose 74*p - z*p + 8 = 0. Solve 3*t - p*t = -k, 0 = -t - 5*k for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4004*z**4 + 19*z**3 + z - 1541033.\nAnswer: 16016*z**3 + 57*z**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -2*n + 91. Suppose 40 + 38 = n*t. Is 3 less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 3*i + 7*i + 2*i**2 + 2 - 7*i - 113*i**3. Let w be z(-1). Suppose 4*n + w = 297. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 7*q - 7*q**2 - q**3 + 2*q. Let u be z(-5). Find w such that -w**2 + u*w + 3*w - 4*w = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -305404.\nAnswer: 152702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n + 10. Let u be p(-5). Suppose 4 = 2*t + q, 4*t = -t - u*q. Suppose 0 = -3*m - 15, 3*v - t*m = -2*m + 46. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*u = -20, 3*q - 111*u + 5 = -112*u. Put q, -5, -21 in decreasing order.\nAnswer: q, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c. Let n(o) be the second derivative of 4*o**3\/3 - 3*o**2\/2 + 60*o + 1. Give f(n(v)).\nAnswer: 24*v - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 724.34 - -0.035\nAnswer: 724.375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4337406?\nAnswer: 2, 3, 240967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277*v**2 + 75*v**2 + 65*v**2 + 138*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - b + 5 + 4 + 0*b. Suppose -4 = v + 2*l, -3*v - 2*l = 2*l + 8. What are the prime factors of y(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 + 1936*h**2 + 40564*h - 42504.\nAnswer: 4*(h - 1)*(h + 23)*(h + 462)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1740514*w + 1740513*w + 4*f = -11, -8*f - 42 = 2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*j = 2. Let l(g) be the first derivative of -5*g**2\/2 + 4*g + 19. Is l(j) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12434, -12576, -12716, -12854?\n\"Answer: g**2 - 145*g - 12290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3 - -2)\/(17\/(-6137)) is divided by 93?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2160954935.\nAnswer: 5, 71, 103, 113, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -219 + 219 + 21*a as p + q*a and give q.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -5 + 5 - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-4))\/(99\/(-66)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -791*q + 31 + 1654*q - q**2 - 869*q as k*q**2 + g*q + y and give y.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y = -2*y + 7*w - 6*w + 6, 0 = 7*w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1234, 317, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/27 + (4 - 64\/(-36))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13440 is divided by 156?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6512 + -1600647?\nAnswer: -1607159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.27, -45, 2, 4, -5, 89?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1343, 2192, 3041, 3890?\n\"Answer: 849*w + 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 0.023 (b) 1\/2 (c) 2 (d) -0.1166\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*c = -259, 4*i = -3*c + 5*c - 1006. What are the prime factors of 4632\/11 + 23\/i?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - 1653*h**2 + 1989*h**2 - 4645*h**2)*(6*h - 4*h - 3*h).\nAnswer: 4309*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14100 and 649164.\nAnswer: 16229100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 5) to base 16\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6088 divided by 1335?\nAnswer: 6088\/1335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1371\/85624 + -1\/616. Suppose -2*y + y - 8 = -3*u, 4*u = 3*y + 9. Which is the nearest to s? (a) -0.3 (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 + -107\/3. Let w = h - -1\/6. Factor -1\/2*u**2 + w - 1\/4*u + 1\/4*u**3.\nAnswer: (u - 2)*(u - 1)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*q + 15, k - 11 = -2*q - 0*k. Let x be 3\/(q\/((-28)\/(-12))). Put -5, x, 3 in decreasing order.\nAnswer: 3, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -6*f**2 - 42*f - 1. What is the remainder when w(-5) is divided by 49?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 10 = 7*j. Let m be (1*(-3 + -1))\/j. Let t be (-8)\/(-42) - 4\/12. Sort -3, t, m in decreasing order.\nAnswer: t, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -l**6\/105 + 6*l**5\/35 - 9*l**4\/14 - 40*l**3\/21 + 6115*l. Factor s(w).\nAnswer: -2*w*(w - 8)*(w - 5)*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, v: 1, i: 1, u: 5}. Give prob of picking 1 v and 2 u.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -1100000*n + 605000. Let y(f) = -4. Let t(d) = -4*l(d) - 605000*y(d). Let u be t(2). Round u to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/3 + 22220*u\/3 - 398016.\nAnswer: -2*(u - 11056)*(u - 54)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*c**2 + 287*c**2 + 2*c**3 + 79*c**2.\nAnswer: 2*c**3 + 465*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/42*(-2 + 3\/2)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 497993664\/11 < 45272152?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -3 + 760\/12*(-12)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/564328 and -121\/460?\nAnswer: 2821640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 u when four letters picked without replacement from muumumuulmumumulu.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 11)*9\/12. Let g(u) = -15*u**3 - 19*u**2 - 2*u + 13. Let p(o) = 7*o**3 + 9*o**2 + o - 6. Give f*g(c) - 13*p(c).\nAnswer: -c**3 - 3*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69732772.\nAnswer: 2, 47, 370919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58019.\nAnswer: 13, 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m**3 - 11*m + 10*m - 12 + 16 to y + j*m + w*m**2 + q*m**3 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4 - 6*m + 2*m + 10*m wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9019\/40 + -1178\/5. Find the common denominator of q and 2 + -46*(-1)\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 18 = -w, 1602 = -5*w + 4*q + 1632 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -7*h + 8. Let b(a) be the second derivative of -a**3\/6 + a**2\/2 - 4*a - 26. Determine 4*b(l) - g(l).\nAnswer: 3*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -36661024.2.\nAnswer: -36661024.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*(-6)\/(600\/10))\/(5*4\/1160)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -686008\/9 - -76141. Let w = s - -82. Which is the nearest to -3\/4? (a) 0.3 (b) 0.4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -29 + 39 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 14*f + 59. Let l = 16 - 23. Calculate the lowest common multiple of (l\/(-21))\/(1\/3) and a(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m - m - 9*m + m + 2*m - 2*m + (-4*m + 5*m + 0*m)*(1 - 4 + 1) + 0 - 2*m + 0 - 2*m + 0*m + m + (-1 - 2 + 5)*(2*m + 0*m - m) - 6*m - 11*m - 8*m.\nAnswer: -35*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51623736.\nAnswer: 2, 3, 43, 50023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*4)\/(((-23)\/46)\/((-3)\/132))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7608049 to the power of 1\/2, to the nearest integer?\nAnswer: 2758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1783 + 78.8.\nAnswer: 78.9783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (85\/(-17))\/((-3)\/(-3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 + 48. Let u = -213.1 + 115.2. Let q = u + 98. Which is the third smallest value? (a) 4\/3 (b) q (c) -4 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*h - 3*a, 7*h - 2*a = 2*h + 20. Let c(w) = 3 + 4*w**h - 10*w + 6*w - 3*w**2. List the prime factors of c(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364736.\nAnswer: 2, 41, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiexeieexegigpxxphpi. What is prob of sequence ipep?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -6205*z. Let s(k) = -580*k. What is s(r(c))?\nAnswer: 3598900*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2522 is divided by 56.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 130 = -u, 8*u + 0*u - 3*h - 1025 = 0. Calculate the highest common factor of 2159 and u.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 f, 1 b, and 1 l when four letters picked without replacement from {b: 4, h: 1, l: 1, f: 5, g: 9}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 l when three letters picked without replacement from {b: 1, v: 4, l: 2, g: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -235279305 divided by -78426435?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(-22)*(-315)\/((-334530)\/944).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 4. Suppose -5*z + m*z - 5 = 0. Put -4, z, 2 in ascending order.\nAnswer: -4, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 118 - 104. What is the tens digit of (-72684)\/(-135) - (p\/10 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/(-1056))\/((-2)\/44).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -102, -159, -206, -237, -246, -227, -174, -81?\n\"Answer: f**3 - f**2 - 61*f - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/15 + 866\/30. Let y(f) = f**2 + 10*f - 10. Let c be y(-9). Let i = c + l. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77ed (base 16) in base 15?\nAnswer: -916b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -6.61 (b) 590 (c) 61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 149\/2, -4\/5 in ascending order.\nAnswer: -4\/5, 2\/3, 149\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 801*f - 11. Suppose 2*x - 14 = -s + x, x = 3*s - 30. Let w be b(s). What is w rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -175*m**3*z**3 - m**2*z + 2*m*z**2 - 11*z**3 wrt m.\nAnswer: -1050*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -29*g**2 + 6285*g - 4677. Give o(216).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 696896320 and 12880?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.590051 centuries to millennia.\nAnswer: 0.3590051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8955 divided by -45?\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 0 + sqrt(832))**2.\nAnswer: -16*sqrt(13) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -54037.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 3:33 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42865 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23747589 by -3.\nAnswer: -7915863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*y = 1314 - 2047 - 746 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 12738682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -823?\nAnswer: 3292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 756 and 30915906?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 90 + -83. Let h(w) = 15*w - i - 7 + 14. Let p(n) = 468*n - 468*n - 3*n**2. Give p(h(f)).\nAnswer: -675*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/2 and -109\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 75? (a) -5 (b) 2\/21 (c) 303\/5 (d) 2\/7 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -536 - -549. Solve 18 - a = -5*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48207250 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -d**4\/3 - 2*d**3\/3 - 3*d**2\/2 + 3*d - 6. Let b(z) be the first derivative of v(z). Determine b(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 7\/2*y**4 + 7 + 0*y**2 + 0*y + 14*y**3. What is the third derivative of i(w) wrt w?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-188)\/(-24) - (-1 - (-96)\/36)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -12 - (-847 + 861).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Convert 461575 (base 8) to base 12.\nAnswer: 76711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2f7 - -3?\nAnswer: 2fa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2522046, 2522062, 2522080, 2522100, 2522122, 2522146?\nAnswer: 2522172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 = -q + 3*q, 2*q - 9 = 5*i. Suppose -3*x + 0 + 3 = 0. Let a = x - i. Calculate the remainder when 5 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 4*o + 15 = -o, -3*q = 327*o - 328*o + 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*k + 19*k - 296. Let s = k + -82. List the prime factors of 1\/(s\/(-762)) - (-96)\/128.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**5\/15 - 8*p**4\/15 - 94*p**3\/15 - 236*p**2\/15 - 232*p\/15 - 16\/3 = 0?\nAnswer: -2, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 37\/7 + 4\/(-14). Suppose -4*b + b - 3*u = -12, -2*u + 8 = p*b. Suppose c + 0*c - 10 = b. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*y + 17, -2 = -4*c + 3*y + 56. Suppose 5*v + 0*v - 2*u - 8 = 0, -5*v - 3*u = -c. What is the smallest value in 1, v, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1322*x = 1044*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 210 and 247645.\nAnswer: 10401090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 + -28. Calculate the remainder when 58 is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 - j**2 - 6*j**4 + 2*j**2 + 1 - 1 - j**4 + (-4*j + 3*j - j)*(2*j**3 - 5*j**3 + 4*j**3).\nAnswer: -9*j**4 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2206 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**3 + 63*d**2 + 81*d - 4. Let q(b) = -b**3 + 32*b**2 + 41*b - 2. Let y(u) = -2*i(u) + 5*q(u). What are the prime factors of y(35)?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12212202 (base 3) to base 2.\nAnswer: -1000010111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17.1*-0.4.\nAnswer: -6.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/9)*m**(-3\/14) assuming m is positive.\nAnswer: m**(-13\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -674 - -4047. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5860*d*k**4 - 4*d*k**3 - 54169*d*k**2 + 2*k**3 - 17*k**2 wrt k.\nAnswer: 140640*d*k - 24*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9276 = 4*m + 9196 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 136614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19285 is divided by 19280?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h - 4. Let z(s) = 3*s + 13. Let g(m) = 2*n(m) - 2*z(m). Determine g(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**3 + 5*r**2 - 5*r + 1. Let f(o) = -14*o**2 + 4*o + 1. Let m(l) = 17*l**2 - 5*l - 1. Let b(q) = -6*f(q) - 5*m(q). What is -5*b(c) - w(c)?\nAnswer: -2*c**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 69715 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3815 + -41994\/11. Let k = 459867\/10 - 45914. Let r = k - 121\/5. Find the common denominator of l and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 191441, 7, 4 in descending order.\nAnswer: 191441, 7, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11\/70 - -1\/70. Suppose 3*x - j + 8 = 0, -43*x + j = -44*x - 4. What is the nearest to 1 in x, -0.4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 2*v**2 - 6*v - 3. What is i(4)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.8999539 + 2.9. Round k to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.5745 - -139.8665. Round r to the nearest integer.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-10)\/(-16))\/((-170)\/204))\/(9\/12426). Which is bigger: n or -1035?\nAnswer: -1035","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 220520.\nAnswer: 1543640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13002?\nAnswer: 2, 3, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00574095178 to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(7 - (0 + 6)). What is the smallest value in q, -0.2, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-359)\/(-7539) + (-838)\/(-42). Suppose -3*q + 3 = 5*u - 2*q, 3*u + 2*q = 6. Solve u = -h + 4, -v - 5*h = -5 - b for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**4\/12 + p**3\/6 + 2*p**2. Let c be f(1). Let x = 3 - c. Solve x*g + 2 = -g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*c - 73*c - 4*s - 31 = 0, 0 = -7*c - 4*s - 51 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 6 + 2)*(6*l - 15*l + 7*l) - 4*l + 0*l + 5*l)*(-11477 + 11477 - 96*l**2) in the form w + f*l + t*l**3 + g*l**2 and give t.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 321163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*3*(-4)\/12. Solve h*j + 6 = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1026*v + 3554 = 30230 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 3*i + 1, -5*q = -5*i - 330. Let m = 70 - q. Let b be ((-2)\/(-5))\/(445\/150 - m). Is b equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**4 - 504*d**3 - 20583*d**2 + 26814*d + 9440496 = 0.\nAnswer: -104, -41, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 - 2 - -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33243 - -4000?\nAnswer: 41243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1649 and 1.26471.\nAnswer: 1.42961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18601 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 798634.\nAnswer: 2, 193, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(750)*-1)\/((-6*((-2*sqrt(110) - sqrt(110)) + sqrt(110)))\/sqrt(11))*3.\nAnswer: -25*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (676\/13)\/(-208)*(76\/2)\/((-3)\/(-6))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 8:07 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4485875 is divided by 747642.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*s**3 + s - s**4 + 61*s**2 - 2*s + 1 - 31*s**3 - 67*s**2 as d*s**3 + o + t*s + b*s**2 + j*s**4 and give d.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12492 rounded to 3 decimal places?\nAnswer: -0.125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -156.63 - -0.4011785435\nAnswer: -156.2288214565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -1458\/17, -28\/59 in decreasing order.\nAnswer: 2\/3, -28\/59, -1458\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/(g\/(g*g**(2\/13)*g)*g)*g\/((g*(g\/(g*((((g**(-2\/9)\/g*g)\/g)\/g*g)\/g)\/g))\/g)\/g*g)*(g**(-2\/5))**(-49) assuming g is positive.\nAnswer: g**(11426\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/6 of a day in hours?\nAnswer: 220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 3:18 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v. Let p be w(3). Let z(d) = d**2 - 5*d + 4. Let h be z(1). Suppose h = -0*i + i. Solve i = -y + p*y - 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -6*v**3 + 937*v**2 - 1087*v + 331. Calculate u(155).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 656 - 1171. Let y = f - -537. Is y bigger than 116\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0*t)**33\/(t**(-2\/5)\/t)**35 assuming t is positive.\nAnswer: t**82","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, b: 2}. Give prob of sequence bqb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + 0 - -1 - (100 - 424).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4371 and 220131?\nAnswer: 10346157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**2 - 3*d**3 - d**3 + d**2 + 8*d**2 + 0*d**3 as s*d**2 + w*d**3 + n*d + r and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(1452)*2).\nAnswer: sqrt(7)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54.46 + 55. Let g = d + -0.18. Let i = g + 0.14. What is the nearest to 0.1 in 0.1, -3, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -13*u**3. Suppose 4*p - 1 = -9. Let m be (-1)\/((-16)\/12) - p\/8. Give t(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -64\/7 or -309.9342?\nAnswer: -309.9342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -3 - 9) + 1 - -1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 0.0117?\nAnswer: -0.00234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*c - 24 - 56 = 0, -5*h - 95 = 5*c. Let w = h - -9. Sort -1, w, -3 in decreasing order.\nAnswer: -1, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*l)*(3*l + l - 2*l) + 3*l**2 + 0*l**2 - 5*l**2 + (l + 5*l - 3*l)*(-3*l + l + l).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5*k + 5*k - 6 - k - 2*k. Calculate the smallest common multiple of p(-6) and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (28\/6 - 2)*-39. Let u = 26 + y. Let b = 129 + u. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 326462 (base 8) to base 9.\nAnswer: 176642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -50, -48, -36, -8, 42, 120?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-1*sqrt(432)*4)**2 - 2*(sqrt(432) - (1 + sqrt(432)))*2) + 0.\nAnswer: 248836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 773 - 81 + 64 = 28*p for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19163 = 4*t - 19383. Calculate the highest common divisor of t and 154.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1281659392?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 8*q**2 + 7*q + 6. Let g(o) = -3*o + 6. Let m be g(4). Let p be r(m). Let d be 53100002\/(-9) - (-8)\/p. Round d to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2182079.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-3) + (-4)\/(-3). Let b be (-2)\/6 + (-96)\/(-18). Solve -4*i = b*w - 13, -w = 2*i + 2 - r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 9*t**2 - 11851*t - 199162. Give r(-17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (32\/15)\/(-4)*10*-1. What is the third biggest value in -2, 2, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0)**(-32)\/(z*z\/z**(1\/2))**(-26))\/(((z*z**(1\/3)*z*z)\/z)\/((z\/z**(1\/3))\/z))**(-2\/5) assuming z is positive.\nAnswer: z**(601\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -70046000 to the nearest one hundred thousand.\nAnswer: -70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/9)\/((-3)\/36)*3. Suppose -x*g + 3*g + 160 = 0. Suppose -3*q + 4*d + 5 + 169 = 0, 2*q - 4*d = 112. What is the remainder when q is divided by g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12628195*p**4 - 5508735*p**2.\nAnswer: -303076680*p","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5538434.\nAnswer: 2, 11, 61, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 27. Let h = -10 - -18. Let l = h - p. Put 0.03, 2\/5, l in increasing order.\nAnswer: l, 0.03, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*d = -38*d + 129. Let v = d + 43. Let m = 9 + v. Solve -5*c + 11 = -m for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d, 3*d = -11*n + 6*n - 45. Let g be (-4)\/((-24)\/n)*(-5)\/(-375). Which is the second biggest value? (a) -5 (b) g (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 1 + 0)*(w - 4*w + 5*w + (-5 + 5 + 3*w)*(-1 - 5 + 5))*(65*w**2 - 1801 + 1801).\nAnswer: 390*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*g = -71*g - 3*p - 11, 5*g - 13 = 4*p for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -207130.326 to the nearest one hundred.\nAnswer: -207100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 3. Find the first derivative of 3 + 6 - c*g**2 - 5 wrt g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 447 + -97. Find the common denominator of ((-6)\/(-65))\/((-15)\/k) and (-15)\/25 + (-6)\/(-3).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -6.5, 974 in ascending order.\nAnswer: -33, -6.5, 974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*h, 3*h + 6 = 2*j - j. Suppose -2*t + 3*t = -3, t + 3 = -j*a. Is 2\/109 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 1185, 11 in decreasing order.\nAnswer: 1185, 16, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -518 + 569. What is the second derivative of 28*l**2 - r*l**2 + 56*l**2 + 2*l**3 - 123*l wrt l?\nAnswer: 12*l + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 4 + 13. Let m = g + 7. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 - 8. Let s be d\/15*10\/(-4). What are the prime factors of ((-13)\/2)\/(s\/6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6655616.\nAnswer: 2, 11, 29, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2. Let o(h) = -16*h**2 - 4*h. Let f(d) = 33*d**2 + 9*d. Let g(w) = -4*f(w) - 9*o(w). Determine g(v(c)).\nAnswer: 48*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1319864 take away -1.89462?\nAnswer: 1.7626336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32569 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 157559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(1\/3)*((z\/(z\/(z*(z**(-6\/5)\/z*z)\/z*z)))\/z)\/z*z**0*z*z\/z**(-2\/11)*z**4*z**(-2)*z*(z\/(z**(3\/2)*z))\/z*z*z**(2\/13)*z assuming z is positive.\nAnswer: z**(17027\/4290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.271 + -0.029. What is the third smallest value in -5.7, -0.5, 0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*j**2 + 35*j**2 - 64*j**2.\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.6 - -6.546. Round f to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7\/2965 - -199117\/195690. What is the common denominator of 25\/22 and w?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13147736 is divided by 80169.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -58b (base 12) to base 6.\nAnswer: -3455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -7. Let i = r - 6. Let t(a) = -a**2 - 3*a. Determine t(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 9611*y**2 + 3 - 9612*y**2 - 4105*y to l*y + m*y**2 + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 130701 = 2*t, 653453 = 5*g + 67*t - 64*t. What is g rounded to the nearest 1000?\nAnswer: 131000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -730 + 729. Let i be (24\/14 - 2)\/(90\/(-70)). Let g = -0.3 - -0.4. Which is the second biggest value? (a) i (b) r (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 7, y: 2, e: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 - 59*k + 593. Give a(24).\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, e: 1, s: 1, w: 1, y: 5}. What is prob of sequence se?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 49, 4 in decreasing order.\nAnswer: 49, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from {f: 1, q: 1, r: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -14\/69 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2332*j + 2*a + 6 = -2336*j, -3*j + 2*a = -6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 25, -8, -63, -146, -263, -420?\nAnswer: -623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**8*s\/(s\/s**10)*s**(-2\/47)\/(s*s**(-6)))**(2\/3) assuming s is positive.\nAnswer: s**(2252\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, m: 6}. What is prob of sequence mm?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1, -1, -37, 0.07, -353?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, x: 5, m: 13}. Give prob of picking 3 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert a95 (base 16) to base 9.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - 8) + (22 - 51) + 15 + -8?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*l - 10*l + 22*l)*(-17*l**3 + 3*l**3 + 2*l**3) + (5*l**3 - 5*l**3 - 10*l**3)*(-l + 1 - 1).\nAnswer: -26*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269924?\nAnswer: 2, 67481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q. Let j(m) be the first derivative of -7*m**2\/2 + 19. What is j(a(w))?\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -5. Suppose 40 = -9*a + d*a. Calculate the highest common factor of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 142 and 1207?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 8*h + 2. Let y be i(11). Let j = 142 - y. What is the highest common factor of 39 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56203 - 56202.99967863. What is p rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -10 + 8 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -380, -410, -460, -536, -644, -790, -980?\n\"Answer: -x**3 - 4*x**2 - 11*x - 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 701 divided by -401886\nAnswer: -701\/401886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9993 is divided by 1124.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/54 and 8\/123.\nAnswer: 2214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 8 = -5*x - 8, -4 = -x - 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 - 7. Let f be 4\/z + (-35)\/11. Which is greater: f or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*h**2*w**3 + 57*h**2*w + 3800*h*w**3 + 3432467*w**3 wrt h?\nAnswer: 6*h*w**3 + 114*h*w + 3800*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8659706 - 4?\nAnswer: 8659702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 29977490 to the power of 1\/2, to the nearest integer?\nAnswer: 5475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 4*w**2 + 3*w. Suppose 0 = 2*i - j - 5 - 2, 2*i - 2*j = 6. Suppose 2*y - 4 = i*y. What is q(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000695 to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18\/7 in -1\/337, -2, 2\/11, -2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/21 + 104\/(-28). Let o be 7\/4 - 1\/q. Suppose -3*x = -5*x + 40. Solve 0 = -4*w + o*c + 24, -w - 3*c = -7*c - x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*t - 20 - 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-32)\/8 - (-6 - -2). Suppose 4*y - 5*i + 1000 = b, 3*y = -3*i - 517 - 233. Let x = -159 - y. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 178*v**3 + 1592*v**2 + 2650*v + 1236 = 0.\nAnswer: -618\/89, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 977 is divided by 140?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-3)*-9*5\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -589, -1671, -0.5, 1 in ascending order.\nAnswer: -1671, -589, -0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2, 3, 20 in decreasing order.\nAnswer: 20, 3, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*q + 0*q - 2*q)*(-6*q**3 + q**3 + q**3) + (q**3 - 2*q**3 + 2*q**3)*(804*q - 2 - 803*q - 5))*(0*q - 3*q + q).\nAnswer: 14*q**5 + 14*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 2. Let h(m) = m + 19. Let t be h(-19). What is w(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4120.721 millilitres in litres?\nAnswer: 4.120721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + -101255172?\nAnswer: -101255201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-1))\/1*2440\/(-305)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -590*p**4 + 317 with respect to p.\nAnswer: -2360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/3 and -59\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 5*n - 5. Let d be m(5). Let o be 18\/d + (-6)\/15. Let h(k) = -2*k**3 - 7*k**2 - 5*k - 1. Is h(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 583151 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 777514253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Solve 6552*n - 56247 = 212385 for n.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 6*c**2 - 4*c + 7. Let r be j(-5). Suppose r*z - z = 51. Let h = -27 + z. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 2 + 1 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2. Let f(x) = 6*x**2 + 6*x + 7. Let p(b) = f(b) - 4*q(b). List the prime factors of p(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*1\/30)\/((-162)\/(-6075)*75)?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 411*n = 150*n - 2644191. Is n at least -10134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**5\/15 - 19*p**4\/6 + 40*p**3 + 19*p**2\/3 - 361*p\/3 - 5455. Determine k, given that j(k) = 0.\nAnswer: -1, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -231*w**3 + 5*w**2 + w - 6. Does 51 divide f(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 5\/102210248?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 20*u**2 + 9*u + 178. Determine k(-20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40.9962 - 41. What is z rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/3)\/b*b)\/b**(7\/2)*(b\/(b*b*b\/(b*((b*b*b**(-7\/4)*b)\/b)\/b)*b)*b)\/(b**30\/b*b))**(-13) assuming b is positive.\nAnswer: b**(5395\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/2)\/(6870\/50380)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 546798 is divided by 546176?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -22, 7\/8, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6386997.\nAnswer: 3, 1409, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 1:31 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4766287875 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6a - 358?\nAnswer: -3c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vb when two letters picked without replacement from {a: 2, b: 7, z: 3, v: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3461, 14052, 31749, 56546, 88437, 127416, 173477?\n\"Answer: -k**3 + 3559*k**2 - 79*k - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -239 * 18219\nAnswer: -4354341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 848070 and 4100750?\nAnswer: 3490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 0)*(-4*o**3 + 19*o**2 - 12*o**2 - 4*o**2 + 27*o**4) to the form u + y*o**3 + j*o**4 + b*o + l*o**2 and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/(-10) - 22\/((-154)\/(-21))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -18.5895 and 0.0252.\nAnswer: -18.5643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(130) + sqrt(130))\/sqrt(5))\/sqrt(2) - -1*(-5 + 1*sqrt(13)) - (sqrt(4212) + sqrt(4212)*-1 + sqrt(4212))\/(sqrt(64)*3)*-1.\nAnswer: -5 + 19*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((10055352\/9)\/(-4))\/(104\/(-3) - -34) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 704 + -628. Calculate the remainder when 607 is divided by y.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 261345 (base 10) to base 4\nAnswer: 333303201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -75294, -75226, -75154, -75078, -74998, -74914?\n\"Answer: 2*w**2 + 62*w - 75358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -16 - 15) + (0 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-26) + (-100)\/(-26). Suppose -2*o - o = -9, w*o = -2*y + 54. Solve 5 = 5*s, r + 4*r - s = -y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.813 - 230820.\nAnswer: -230819.187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y. Let z(l) be the second derivative of 23*l**3\/6 + 7*l. Calculate k(z(g)).\nAnswer: -23*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 38*m**2 - 5*m - 3. Let g be 12\/(-16) + 82*2\/(-16). Is o(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (28\/(-6))\/(2\/(-12)). Let c = 148 + -106. Calculate the greatest common divisor of c and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10795 and 64770?\nAnswer: 64770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 207\/1141 - -17\/163. Suppose -18 = 3*f - f. Let r be 4\/(-18) - 11\/f. Which is the third smallest value? (a) r (b) 5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.30901g to kilograms.\nAnswer: 0.04930901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5 = -2*f + 1, -2*f = 3*r - 6. Suppose r = -14*t + 20*t + 36. Which is the fourth smallest value? (a) -3\/5 (b) t (c) 4 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w be 34\/(-10) + (-2)\/(-5). Let a be -4*(42\/8)\/w. Suppose -3*s = 5*l - 26, 2*s + 2*l - a*l = 34. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5*z - 63. Let a be f(-13). Let t(r) = -21*r + 24*r**2 - a*r**3 + 3*r**3 - 7*r**2 - 46 + 4. What is the remainder when 44 is divided by t(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5244276ml?\nAnswer: 0.0005244276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-54)\/(-72))\/(15\/(-80)). Which is the closest to 3? (a) -2\/7 (b) -2 (c) 4 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c + 2. Let n be d(-2). Let f be ((-105)\/n)\/(3\/4). Suppose -80 = 48*o - 115 - 829. Are f and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 11, v: 5}.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4874175 and 16081136?\nAnswer: 20955311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -39953, -39930, -39907, -39884, -39861, -39838?\n\"Answer: 23*h - 39976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -20. Suppose -4*t - 2*q + 42 = o, -q - 85 = -4*t - 34. Calculate the highest common divisor of t and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-5) - (-6)\/(-30). Let a = -1 + z. Let t be (-14)\/(-4) - (-6)\/4. Put t, a, 2 in decreasing order.\nAnswer: t, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + sqrt(57)\/sqrt(3) + 5 + 1.\nAnswer: 6 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1263.\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 80.2061 and 2.02?\nAnswer: 162.016322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q + 482 = 522 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 404 and 28583.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1327?\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -110761529\/4 at most as big as -27690382?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -243 by 27.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9476495 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -601 + 729. Is 160\/n - 125806\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 38\/8 + 5\/20. Suppose -c + 16 = 3*j - s*j, 0 = -5*c - j + 113. Suppose -c = -4*v + 2*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.112 + 20.312. Let g = j - 17.2. Which is the fourth smallest value? (a) -4 (b) g (c) -1 (d) -10\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74094 is divided by 9247.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1102)\/435)\/38*9.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1760, 1781, 1804, 1823, 1832, 1825, 1796?\nAnswer: 1739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1866403823?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 122*s**2 - 111*s - 6. Give v(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67453 by -13.\nAnswer: 67453\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 419 + -276. Let l = 53408597\/381101 - 2\/54443. Let f = q - l. Do f and 0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 - 2)*(-4*i + i + i) + 4*i - i - 5*i)*(-2*i**2 + i**2 + 0*i**2).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 + 83 = -22*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (150\/(-80))\/(6\/4). Put 1, v, 1\/5 in decreasing order.\nAnswer: 1, 1\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u**2 - 14*u - 8. Suppose -y = 2*w + 14, -2*w = -2*y - 1358 + 1354. Let o(m) = m**2 + 5*m + 3. Determine w*i(j) - 11*o(j).\nAnswer: j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24041769?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1189 != -3343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5336.2 - 14.8. Is 1 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*w + 5*s - 4, 0 = 5*w + 2*s - 30. Calculate the highest common factor of 12 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 <= 1104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -88467300 rounded to the nearest 100000?\nAnswer: -88500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 7 = 4*k, 10*k = 7*k + 4*d - 11. Suppose -4*a + 23 = -k*f, 0 = a - f - f - 2. Let t = 18 + -10. Solve -4*h = -t*h - a for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 97, -1, 3 in ascending order.\nAnswer: -1, 3, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 10*l**2 + 1162*l + 222. Calculate p(-116).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3*i - 26 = 0. Let k be 18\/3*(i\/(-3) - 4). Solve n + 1 = -s + 2, -3*n + 3 = k*s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 368.\nAnswer: 9\/368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14561*z + 14482*z = 1738 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-13)\/(65\/7250040) - -8. Let m be (9 - (-99 + 0))*h\/6. Round m to the nearest one million.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 5*w + 9. Calculate the common denominator of (-4)\/(-18)*69 + w and -5\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.313 (b) 1 (c) 213\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 - -24. What is the tens digit of s\/(-2)*(30 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117102 and 1450?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210100 + 201202112?\nAnswer: 202112212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.03, 2\/9, 1\/3, -5\/6?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 880 - 878. Solve b*a - 8 = 0, 0 = -n + 2*a - 3*a + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1804249 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*5\/7 - 12\/(-28).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 385 - 83 = -m, -2*j = 4*m - 1852. List the prime factors of m.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wxx when three letters picked without replacement from uwxwxxuxxccxcwxxc?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37.1 + 35.1. Let j = -1.8 - -1.1. Let i = 0.6 + j. What is the closest to 0.4 in -3, h, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -139, -210, -283?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i**2 - 152*i + 413. Let n be q(29). Let g(h) = 2*h**2 - 9*h - 11. Let z be g(8). Calculate the greatest common factor of z and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 25429340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n**2. Let v(w) be the third derivative of w**6\/720 + 5*w**4\/24 - 3*w**2. Let b(l) be the second derivative of v(l). What is s(b(m))?\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 65039 to the power of 1\/2, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29353 is divided by 164.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 31 - 9. Let i = k - 12. Sort i, -3, 3.\nAnswer: i, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4*sqrt(76))**2 + sqrt(76).\nAnswer: 2*sqrt(19) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 769 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-764)\/12 - (-4)\/(-12). Let i be -5*(2 - (3 - x)). Suppose 5 = -4*p + 25, 2*f = -3*p + i. What is the greatest common divisor of f and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -6*a + 6. Let y = 3 - a. What is the second derivative of -y + 1 - 5*t + 3*t**2 + 6*t wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence am when two letters picked without replacement from {m: 3, a: 9}.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*a**2*k**2 + 2*a**2 - 4*a*k**2 + 2*k**2*x + 10*x wrt k?\nAnswer: -16*a**2*k - 8*a*k + 4*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154560*j**3 + 1 - 3 + 2 + 154565*j**3.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 1304160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 12 = 0, -1686 - 1083 = -2*y - 5*p. What is the third derivative of y*o**4 + 6 + 5*o**2 - 74*o**5 - 1377*o**4 wrt o?\nAnswer: -4440*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1205.24 + 0.1.\nAnswer: -1205.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q**3 + 477*q**2 - 577*q - 1532. Give c(118).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -235140 to the nearest ten thousand.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/13 + 18890*w\/13 - 18892\/13.\nAnswer: 2*(w - 1)*(w + 9446)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 5*h + 23, 4*j + j = -3*h + 1. Let k(q) = -4*q - 4 + 4*q - q - 3*q. Let o be k(-2). Solve -2*s - j = -o for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3506*w + 1869. Is q(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 122\/7 - 2346\/133. Which is bigger: 2\/11 or r?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 119?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 6*x - 60. Let o be p(10). Let r(q) be the first derivative of 6\/25*q**5 + 1\/15*q**6 + 0*q + o*q**2 - 10 + 2\/15*q**3 + 3\/10*q**4. Factor r(w).\nAnswer: 2*w**2*(w + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 115*a*i**3*t**3 - 16*a*i*t**2 + 2*i**3*t**3 + 3*i**3 wrt t?\nAnswer: 690*a*i**3 + 12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h**2 + 40*h - 20. Let b be d(16). Round b to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + l - 8 = 64, -5*m + 91 = l. Let q(f) = 140*f**2 + 20 - 51 + m + 12. Let z(v) = -2*v. Determine z(q(b)).\nAnswer: -280*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -1. Let o be ((-2)\/(-4))\/((-2)\/c). Let w = -2 - -7. Solve 0 = -3*k + w*k + o for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bp when two letters picked without replacement from bfpfm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120)\/80*4\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000237016568 rounded to six dps?\nAnswer: 0.000237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g - 25 - 10. Let q(y) = y**3 + 3*y**2 - 2*y + 16. List the prime factors of q(g).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.2? (a) 3 (b) 55 (c) 3983\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/1567 and -55\/28.\nAnswer: 43876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27403.\nAnswer: 67, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 1)*(1 - -4). Let a = 1.3 - 4.3. What is the closest to 1 in i, a, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -53 (b) 0.2 (c) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, i: 7, k: 2}. What is prob of picking 1 i and 1 k?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*m**2 + 30*m*s + m - 213*s wrt m?\nAnswer: -12*m + 30*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.445 times 101734?\nAnswer: 147005.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -35*20\/(-16) - (-11)\/44. Suppose -4 = 4*a - d. Suppose 3*c - 150 = 3*i, 0 = -0*c - c + 2*i + 50. Calculate the greatest common divisor of a and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/4)\/((-1)\/(-134998)). Suppose 3*m - 4*p - 1818005 = 589502, 4*p = m - 802505. Let l = m - h. Round l to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**2 + 21146*t - 2*t**2 - 21146*t.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/(-9))\/(6\/504). Which is greater: a or -110?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31035, 62085, 93147, 124221, 155307?\nAnswer: 186405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11396384?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (761*z + 1690*z + 121*z)*(-2*z**2 + 0*z**2 + 367 + 25*z - 369) to the form u*z**2 + w*z + g + y*z**3 and give w.\nAnswer: -5144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1541.1027 months?\nAnswer: 128.425225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/3))**(4\/3)\/(l\/(l\/(l**(2\/5)*l)))**31)\/(l**(-8)\/(l**0\/l))**(9\/5) assuming l is positive.\nAnswer: l**(-1366\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 368734944*v**4 - 13926448*v - 2 wrt v?\nAnswer: 4424819328*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**5\/12 - r**4\/8 - 158*r**2 - 1. Let n(s) = 2*s. Give x(n(k)).\nAnswer: 20*k**2 - 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-10))\/((-459)\/(-90) + -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0428107 to 4 dps.\nAnswer: 0.0428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 177543, -4 in descending order.\nAnswer: 177543, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of s**3\/6 - 2*s. Let c = -7 - -10. Let d(w) = 2*w - 2. Suppose -22*m = -3 + 25. Calculate c*v(o) + m*d(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h = 5*z - 61, 0 = -9*h + 4*h - 5*z - 1097 + 1037 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1397 - 1395. Let q(b) be the third derivative of -1\/24*b**4 + 0 + 1\/120*b**6 - 1\/30*b**5 + b**2 + 0*b**3 + 0*b. Determine q(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*z - 502*z + 0 + 2 - 2.\nAnswer: -562*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) -5 (b) -1\/3 (c) 3\/2 (d) 2\/5 (e) 39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 30141410?\nAnswer: 30141411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3042, -12142, -27308, -48540, -75838, -109202?\nAnswer: -148632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -25, -23 in descending order.\nAnswer: 3, -23, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -179*c**4 - c**3*r**2 + 5*c**2*r - 28*c*r**2 wrt c.\nAnswer: -4296*c - 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -570*g**5 + 4*g**2 + 35.\nAnswer: -34200*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) 3 (c) 152\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 11 - ((-2 - -3) + -10 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 157156150 rounded to the nearest 10000?\nAnswer: 157160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1928688, -7714524, -17357592, -30857898, -48215448, -69430248?\n\"Answer: -j**3 - 1928610*j**2 + j - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -132487 >= -132488?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 1474 = -2*a, -5853 = 4*a - 5841. Solve -299*g = -i*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1855a8 (base 12) to base 4.\nAnswer: -1213210100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12\/95 and 5\/4712684?\nAnswer: 23563420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 3*n**2\/2 - 5. Let p(u) be the first derivative of -u**2\/2 - 2. Determine p(d(f)).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -208.19 - -207. Let j = 0.21 - v. Let r = -1.3999968 + j. Round r to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 416*v - 5818. Give a(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-549)\/(-12) - (-3)\/12. Let k be (-644)\/(-126)*18\/60*15. Calculate the highest common factor of s and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**2 - 6 - u - 5*u - u. Let n be i(6). Let z = n + -36. Is z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -191\/546 and -109\/780.\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of l**6\/36 + 3*l**5\/10 + 5*l**4\/4 + 23*l**3\/9 + 11*l**2\/4 + 3*l\/2 - 180. Solve f(j) = 0 for j.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000012437418 to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -520 divided by -1.\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.2 - -1.8. Let h = s + -4. Put -2\/15, 1\/2, h in decreasing order.\nAnswer: 1\/2, h, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i + 108. Let x be t(-14). Suppose 0 = 2*b + x + 40. Is -48 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**3 - 3*m**3 + 17*m**3 + 8*m**3 - 19*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 152.796254 and 5.\nAnswer: 157.796254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2 - (-55 - -48)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 708*z**2 + 699*z**2 + 704*z**2 - 2792*z**2 + 690*z**2.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*p + 113 + 244 = 0 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 4. Let t be 1 + 7 + 0 - -4. Put t, y, -5 in increasing order.\nAnswer: -5, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 2:10 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**4\/8 + w**3\/6 + 2*w**2. Calculate the remainder when z(-11) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*f = i - 75*f - 9, 0 = -2*f - 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*c + 58*c = -345. Let x be ((-2)\/(-4))\/(1\/8). Solve -c = r + x*a, -r - 9 = a + a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 34.67 and 1.6.\nAnswer: 55.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18401\/11037 - 2\/3679. Let l(i) be the second derivative of 1\/5*i**5 + 9*i + 8*i**2 + 16\/3*i**3 + 0 + h*i**4. Factor l(y).\nAnswer: 4*(y + 1)*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 + 35*v**3 - 59.\nAnswer: 35*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n. Let w(y) = 5*y - 6. Let p(r) = 14*r - 17. Let a(j) = -6*p(j) + 17*w(j). Let l(s) = 6*a(s) + 5*x(s). Let t(k) = -4*k**2. Give t(l(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 16. Let b be 4\/16 - 1\/4. Does 16 divide p(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -417188*m**5\/15 + m**4\/3 - m**2. Let a be q(4). Round a to the nearest one million.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 315144 divided by -6.\nAnswer: -52524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 24. Let i be (-12)\/(-21) + (-62)\/n. Suppose i*t - 36 = t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10300867, 20601720, 30902573, 41203426, 51504279?\n\"Answer: 10300853*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 36*c**2 + 58*c**2.\nAnswer: 22*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -10*u + 64. Let h be q(-8). Let p = h + -1006\/7. Which is the third smallest value? (a) p (b) -1\/3 (c) -3\/7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide 3156335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9469, -9519, -9643, -9877, -10257?\n\"Answer: -6*l**3 - l**2 - 5*l - 9457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148612, -594486, -1337612, -2377990, -3715620, -5350502, -7282636?\nAnswer: -9512022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7579546?\nAnswer: 2, 13, 291521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5, 48, 133, 250?\n\"Answer: 16*w**2 + 5*w - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-35))\/(9\/(-21))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 + 30. Which is the nearest to -1\/6? (a) l (b) 0.2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-9))\/((-4)\/(-24)). Suppose h + q = 7. Solve 5*r = -h*u - 6 + 46, -4*r + u = -15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -3. Let r = y + 0. Let j = -0.1 + 0.5. What is the smallest value in j, r, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -68, -8, 4, 1.96, 11?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -73\/19 or -3?\nAnswer: -73\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rq when two letters picked without replacement from {i: 2, d: 5, r: 5, q: 3, j: 1}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 2*y**2 + 3*y - 3. Let w be z(2). Let p = 4 - -28. Suppose -p = -w*h - h. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 636816, 636813, 636810, 636807, 636804?\nAnswer: 636801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21282467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 87*b**2*p**3*y + 2*b**2*p**2*y - 23*b**2*p**2 + b**2*p - 1185573*b*p**3*y - 131*y + 4688 wrt p.\nAnswer: 522*b**2*y - 7113438*b*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2 = 34. Sort 2\/19, f, 0.5 in ascending order.\nAnswer: 2\/19, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(f - 2 + 2)*(-14 + 6*f + 14)*((2 + 3 - 3)*(0 - 1 - 1) + 4 - 4 - 1 - 2 - 2 + 5 - 3 + 3 - 5).\nAnswer: 108*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 107 + -54. Let i = -53.07 + x. What is the second biggest value in i, 0.1, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v + 214 - 81 - 65 - 68.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 18*4\/80*2200\/(-1320)*(-40)\/(-1)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12728, -12037, -11348, -10661, -9976, -9293, -8612?\n\"Answer: -s**2 + 694*s - 13421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a second in milliseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(140) + (sqrt(140) - -1*sqrt(140)))\/sqrt(10) - -4*-1*sqrt(14))\/(sqrt(112)*2*-4).\nAnswer: -3 + sqrt(2)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -10 + 13 + 20*5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4*i = 3*i - 67, -i - 39 = -3*m. Let j be 4\/m - 48\/21. Let v = 5\/3 + j. Which is greater: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 92*(2 - (-3 + 4)). Let f be (-4 - 69\/(-18)) + w\/(-24). Let u(y) = 5*y**2 - 3*y - 3. Let k(r) = 4*r**2 - 3*r - 3. Let h(p) = 6*k(p) - 5*u(p). Give h(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -135.65756 and 4348058.\nAnswer: 4347922.34244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-28)\/(-42))\/(8\/1356) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of 0 + 0*g - 1\/30*g**5 - 3*g**2 + 0*g**3 - 1\/12*g**4 + 1\/80*g**6 + 1\/210*g**7 - 1\/672*g**8. Factor i(y).\nAnswer: -y*(y - 2)**2*(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 23 + 9\/7 + (-10)\/35. Let y be b\/9 + (-3 - -1). Factor 0*s**2 + 0 + y*s - 2\/3*s**3.\nAnswer: -2*s*(s - 1)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(490) + 2*sqrt(490))\/sqrt(10) + 2*sqrt(441))\/((sqrt(567) + sqrt(567)*1*-5 - sqrt(567))*6)*3.\nAnswer: -sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/15 (b) 0.5 (c) 3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 9:21 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -6*d + 105. Let n be y(17). Let l(q) = q**3 - 1 - 3*q + 3*q + n*q**2 + 0*q**2. Determine l(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/12*-18)\/(-2 + (-46)\/(-20)). Suppose 2*h - 355 + 15 = 0. Calculate the greatest common factor of f and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -14*t**2 + 18*t - 84. Let b be o(4). Let l = b - -242. Let m(a) = -6*a**2 - 4*a - 6. Let q(c) = -c**3 - c**2 - c - 1. Determine l*q(h) - m(h).\nAnswer: -6*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/4))**40 assuming r is positive.\nAnswer: r**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-10))\/((378\/(-60))\/(-21))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2100 and 240?\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1321 is divided by 53.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 85121.47 weeks in hours?\nAnswer: 14300406.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0070639 to 4 dps.\nAnswer: -0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2. Let b(i) = 3*i + 24. Let x be b(-7). Let m(n) = 20*n**2 + x*n**2 - 10*n**2. What is j(m(v))?\nAnswer: 338*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - s = -355001, 5*b - 2*s + 5*s = -354997. Round b to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**1)**(-20)*(b*(b**0\/b)\/b)**(-17) assuming b is positive.\nAnswer: b**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -17*d - 481. Let a be u(-28). What is the closest to -1 in 1\/4, -0.08, 5, a?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3684 = 4*w - 239382, -5*w = 2*i - 94303. What is the thousands digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o - 3. Let p be g(12). Let d = 29 + p. Solve -2 + 4 = -d*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 482 divided by 241\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 9\/318755 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.3 or 3\/166?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u**2. Let y(b) = -3*b**2 + 180*b - 180*b. Give f(y(a)).\nAnswer: -27*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12201, -12293, -12385, -12477, -12569?\n\"Answer: -92*b - 12109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24954, 49420, 73056, 95448, 116182?\nAnswer: 134844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20136 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 9\/(-2)*(-8)\/(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-5)\/((-5)\/(6\/6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 1 + 4. Suppose -p*y + 2077 = -g, -12*y - 3*g - 836 = -14*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 5, z: 3, d: 1, o: 3}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g**2 + 5947958 - 5947958.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/3183824 and -95\/443828?\nAnswer: 385242704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**3 + 0*f**3 + f**3 + (-7*f + 26*f + 6*f)*(0*f + 0*f - 2*f**2) + (-f + 3*f - f)*(-2*f**2 - 2*f**2 + 2*f**2).\nAnswer: -53*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -6*r + 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -451 - -456. Suppose 4*n = -3*z + 2*z + 7, 3*n + 12 = 5*z. Suppose 2*j + 2 = -r + z, -2*j = 5*r - 13. What is the least common multiple of r and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 3*z - 15, 3*t - 11*z + 12*z + 5 = 0. Let p(k) = -k**3 + k**2 - 27. Give p(t).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + u - 2*u = -15, 0 = 4*l - 5*u + 3. Suppose 0 = 3*q - 2*n - 39, 6*n - l*n = 0. Solve 4*j + q = i, -2*i = 3*i + 15 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -4*s - s - 535, -3*s = -3*o + 399. Let y = o - 84. Calculate the greatest common divisor of y and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 - 498*j**2 + 19695*j + 20196.\nAnswer: 3*(j - 99)*(j - 68)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/74 - 175\/666. Suppose -3 - 6 = -3*x + 3*n, 14 = 3*x - 4*n. Let a be ((-1)\/x)\/(1\/1). What is the third biggest value in 0.1, o, a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 4*v + 1. Let r be u(3). Let o be (r\/(-4))\/(6\/252). Let w = o - 10. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -101, -1\/4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.69 + 1.6. Let q = -14903\/3 + 5204. Let y = -237 + q. Does y = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fef when three letters picked without replacement from eff.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + (sqrt(640)\/sqrt(4) - (sqrt(640) - sqrt(10)))\/(sqrt(25)\/(sqrt(10)\/sqrt(2)*3)))**2*4.\nAnswer: -712 - 288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (25\/(425\/51))\/((-12)\/(-3))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 2*v + v + 65, 59 = 4*b - v. Suppose 3*y - b = -10. Suppose -3*u - 68 = -2*w, 68 = 2*w - y*u + 6*u. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/(-45))\/((-16)\/80). Let t be 4\/3 + (-2)\/(-3). Let g = 38 - 22. Solve 0 = 5*a - n*k + 20, 5*k - g - 5 = -t*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30723 = 3*d - 33489 - 24606. What are the prime factors of d?\nAnswer: 2, 113, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 640 + 539 + 650 - 2476 + 647 + w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -491 divided by 1747.\nAnswer: -491\/1747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -9*y**2 + 282*y + 188. Give g(32).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**5 + 364*s**4 - 20170*s**3 - 63740*s**2 - 1432*s + 84976 = 0.\nAnswer: -226, -2, 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -26*m**2 + 6*m + 18. Let n(u) = -21*u**2 + 5*u + 15. Let p(a) = 5*b(a) - 6*n(a). Let y(o) = 83*o**2 - 1. Give y(p(j)).\nAnswer: 1328*j**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c. Let b(l) = -6*l**2 - 81*l + 27. Let f(i) = -i**2 - 12*i + 4. Let w(r) = 4*b(r) - 27*f(r). What is k(w(n))?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 405, -0.3, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127, -529, -1207, -2167, -3415?\nAnswer: -4957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39 and 501462.\nAnswer: 501462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 2, c: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/4, 7, -2 in descending order.\nAnswer: 7, -1\/4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhqsqqqqhqhs. What is prob of picking 1 q and 3 h?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a - 4. Let v be t(9). Let g = 24 + v. Suppose 2*c - 51 = -3*f, -c = c - g*f - 36. Calculate the greatest common factor of c and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 137250 and 300.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22525 - 4?\nAnswer: -22533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 47*x. Let i(d) = -d. Give r(i(y)).\nAnswer: -47*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 1 = -2*j + 31, 4*j = m + 61. Suppose -j = c - 57. What is the lowest common multiple of 6 and c?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -3\/34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-m + 5 - 5)*(-2 + 3 + 1) - m + 2*m - 2*m + 0*m - 3*m + m - 3 - m + 3)*(4 - 1 + 0).\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(-4)\/12)\/(6\/9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -65406855.85 to the nearest ten thousand.\nAnswer: -65410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 454*n**2 + 6 + 5 - 6 in the form u + t*n + s*n**2 and give s.\nAnswer: 454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 4*a - 13. Let t = -2 - a. Solve 9 = -t*z + 24 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26.3 and -3.\nAnswer: 78.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20175379?\nAnswer: 7, 17, 9973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 176039 or 176041?\nAnswer: 176039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-4*((sqrt(60)\/sqrt(3))\/sqrt(4) + 1 + sqrt(5) + 4)**2.\nAnswer: -720 - 320*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116543.4*0.3.\nAnswer: -34963.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*l**3 - 4*l**3 + l**3)*(11457*l - 22903*l + 11451*l + 17) as w*l**3 + d + u*l**2 + c*l + x*l**4 and give w.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 - 21*v + 59. Give k(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**4\/12 + f**3\/2 - f**2\/2 + 3279*f. Calculate w(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = 8*y - 15. What is the tens digit of (-4004)\/(-5) + -2 + 66\/y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1184 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/168)\/(0 - 1)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29594645 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n + 2. Let h be c(-3). Suppose 3*q = 4*r - 2*r - 4, -4*r = q - 22. Suppose -6*y + y = 0, -5*k + r*y = 10. Which is greater: k or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 0*g - 18. Find the second derivative of -27*c**2 + 1 - g*c - 3 + 49*c**2 + 49*c**2 wrt c.\nAnswer: 142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37122 and 180768.\nAnswer: 4157664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k + 1. Let w be i(-3). Let c be ((-25)\/w)\/(2\/(-4)). Let j(u) = u + 6. Determine j(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1210374?\nAnswer: 2, 3, 11, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(192) + sqrt(192))**2*3 + (sqrt(363)*2)**2 + 4 + 2.\nAnswer: 10674","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 100 + -273. Let l = w - -170. Let u = -3 - -2. Which is the nearest to 1? (a) 1\/6 (b) u (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -0*z + 2*z + 2, -3*f - 3*z = 3. Let d be f\/(-1)*(-4)\/12. Suppose d*p = -p. Put p, -5, 3 in decreasing order.\nAnswer: 3, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (21\/(-28))\/((-3)\/24). Calculate the remainder when (k - -84) + (-3)\/(-1) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -375*k**2 + 8*k + 42. Let l(x) = 376*x**2 - 9*x - 44. Let m(f) = 6*d(f) + 5*l(f). Find the second derivative of m(o) wrt o.\nAnswer: -740","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -183*x + 2734. Give m(-2).\nAnswer: 3100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001531096 rounded to six dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eiymm. What is prob of sequence mm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 12\/18*(-3)\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6 = 0, 0*m + 4*t = m - 39. Suppose x - 16 = a - 1, 0 = -4*a + x - m. Is (a\/(-16))\/((-1)\/(-16)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-2 - -2 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 331785*d**2 + 122144 wrt d?\nAnswer: 663570*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2042265493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7265, -8053, -9449, -11447, -14041, -17225, -20993?\nAnswer: -25339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 5*s + 0*s)*(-2*s**2 + 0*s**2 + s**2) + 0*s**2 - 2 + 2*s**3 + 0*s**2 - 3*s**3 + 44*s**3 + 17*s**3 + (-3*s**2 + 2*s**2 + 2*s**2)*(s + 2 - 2).\nAnswer: 67*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d - 2. Calculate a(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 569, 448, 327?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 42.809, 4\/3, -3?\nAnswer: 42.809","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1772 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of 7\/6*o**3 + 0 + 1\/180*o**5 + 82*o**2 + 0*o + 5\/36*o**4. Factor f(t).\nAnswer: (t + 3)*(t + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**4\/2 + 5322*g**3 + 6225702*g**2 + 2394712944*g = 0.\nAnswer: -1306, -936, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -83684 or 4?\nAnswer: -83684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16044651 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12819348 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (11 + 119\/(-21) - 4\/(-6)) + 126142\/(-18173)\nAnswer: -16\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.396 + -0.426. Put i, 2, 6, 0.2 in descending order.\nAnswer: 6, 2, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 80 = -0*i. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 10. Let v be c(7). Let k be 3 + (-212)\/(-12) + (-2)\/v. Solve 5*s + k = 0, 3*u + 9 = -5*s - 14 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2127252 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -30b (base 16) to base 4\nAnswer: -30023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 1*(5 + -1). Let u = -95 - -97. Solve d = u*d + n for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59 - -1) + (12 - ((-2 - -23) + 7))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -13800*p**2 + 13799*p**2 - 1 - p - 6*p as g*p + s + c*p**2 and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2356 and 152?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1694514.\nAnswer: 2, 3, 109, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327 is divided by 87?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18507?\nAnswer: 3, 31, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3188, -28198 in ascending order.\nAnswer: -28198, -2, 3188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 e, and 1 d when three letters picked without replacement from dffdffddffdfddffedd.\nAnswer: 27\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4 = 0, -5*m = w + 4*w - 10. Suppose 0 = -2*j + m*z + 4, -5*j - z = -28 - 26. Suppose j*i - 1 - 39 = 0. Solve -2*p - i - 2 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**3\/3 + 9*s**2\/2 + 3*s. Let a be b(-7). Let i(f) = -f - 1. What is i(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72726 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1632466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 93102\/63012 + (-18)\/48*4.\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*b - 14, -3*y - 2*b - 3 = -20. Factor -h**3 + 3*h**y + 16*h**5 - 18*h**5.\nAnswer: -2*h**3*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + s = 0. Suppose s*f + 5*f = 20. Let n(x) be the third derivative of x**6\/120 - x**5\/20 - x**4\/8 + x**3\/3 - 105*x**2 + 4. Calculate n(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (15 - (2 + 5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, 91\/37, 1355?\nAnswer: 91\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 10 = 4*u - 2*x, -20 = -u + 5*x. Let a = -19 - -22. Put u, 2, a in increasing order.\nAnswer: u, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.6 - -3.6. What is the smallest value in -1, c, -6\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b + 11. Let x(v) = -8*v + 24*v - 4*v - 3*v - 7*v. Calculate x(r(k)).\nAnswer: -4*k + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -323 - -133. Let x = 189 + i. Sort x, -11, -3 in decreasing order.\nAnswer: x, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.32 - -3.08. Let h = f + -3. Which is the second biggest value? (a) h (b) -2\/5 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 3*p + 36, -5*t + 3797*p - 3798*p = 72. Which is the nearest to -0.1? (a) -3 (b) 3 (c) t (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*j - 28*j = 3. Find the second derivative of 2*n**3 + 27*n**3 + 15*n - 7*n**j + 28*n wrt n.\nAnswer: 132*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 2*l = 3*q + 12, 2*l + 522*q + 31 = 517*q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5943*d = 5946*d + 2*f - 15, -5*d - f + 25 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 693 + 1191. Calculate the greatest common divisor of q and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 3*x - 95. Let o be k(-13). Solve -22*i + o = 3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -u**3\/3 - u**2\/2 + 3*u + 1. Let k be (-1)\/(-3) + 2172\/(-36). Let y = -60 - k. What is i(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -1 + -3 - -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1850 = -8*a + 50426. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(960)*1*1 - sqrt(960))\/(sqrt(25)\/sqrt(5)*-3*-4))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 x, and 1 b when three letters picked without replacement from {e: 1, h: 1, x: 3, k: 1, b: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 7*x + 8. Let a be c(7). Suppose -5*s + l + 238 = 0, -a*s + 244 = -3*s + 2*l. What is the lowest common multiple of 24 and s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 463*k - 1745. Let y be f(5). Calculate the highest common factor of y and 456.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 28*w**3 + 2*w**2 - 7. Let d(u) = 9*u**3 + u**2 - 2. Let x(f) = -7*d(f) + 2*m(f). Find the third derivative of x(k) wrt k.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(-14\/5)*s)\/s)\/s*s*((s*s*s**10*s)\/s)\/s*s)**(-18) assuming s is positive.\nAnswer: s**(-1422\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m - 2*m**2 - 2*m)*(-2 - 2 + 3) + m**2 + m**2 - m**2 + (29*m - 16*m - 11*m)*(2*m + 2*m - 3*m) to p + w*m**2 + h*m and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7f1109 (base 16) in base 3?\nAnswer: 120200002002110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 723.2917 decades to millennia.\nAnswer: 7.232917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 12\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1012, -2030, -3048?\n\"Answer: -1018*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 12*m**2 - 14. Let s(n) = n - 5. What is h(s(x))?\nAnswer: 12*x**2 - 120*x + 286","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 6*t - 10. Give c(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25542 and 972?\nAnswer: 459756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-19)\/(v*v\/v**(-17)*v)*v*v**22*v*v**(1\/4)*v*v assuming v is positive.\nAnswer: v**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4464, -4047, -3628, -3207, -2784?\n\"Answer: n**2 + 414*n - 4879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -11. Let g(b) be the first derivative of b**4\/4 - 4*b**3\/3 - 2*b**2 - 5*b + 1. Let z be g(a). Solve -3*n = 3 - z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 9 - 16. Solve 2*p = -p, 0 = -3*o - t*p + 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012120 - 10?\nAnswer: 1012110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**3 + 166 + 166 - 436 + 104 + 3*m**3.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3304b - 2?\nAnswer: 33049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 157452599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61759 - 22759. Round p to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 31 = 5*c. Suppose m - 5*g - c = -4*m, -12 = -4*m + g. What is the second smallest value in -0.1, m, -1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44 or 300\/7?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 5*a**2 - 7*a + 9. Let g be j(6). Suppose 1 = 3*f + 16. Sort f, 1, g.\nAnswer: f, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276 = 34*p - 72 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1992*g**4 + 2030*g**4 - 1095*g**4 + (-6*g**3 + 3*g**3 + g**3)*(-1 + 1 + 2*g) + 0*g**4 + g**4 + 0*g**4.\nAnswer: -1060*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 3\/14 (c) -5353729\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5 = 3*u. Suppose -3*p - u*l + 3 = 0, -5 = -5*p - 2*l + 5*l. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51\/10 + 18\/5. Sort 4\/3, -1\/4, q, -2\/13 in ascending order.\nAnswer: q, -1\/4, -2\/13, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44406 bigger than 44537?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -12, -1, -4 in decreasing order.\nAnswer: 0, -1, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70*v**2 - 85*v**2 + 10*v**2)*(-v + 4*v - 6*v)*(1 + 1 - 1).\nAnswer: 435*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 80796525 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 4 - 4. Suppose 48 = -0*x + u*x. Let v(z) = z**2 - z. Let j be v(6). What is the highest common factor of j and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/322 and 1\/12098.\nAnswer: 84686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 280345 and 17025.\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20482 + 216 = -7*y + 1490. Is 12 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 240 and 536.\nAnswer: 16080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/2166 and -39\/304.\nAnswer: 17328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33574 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 1 = 2*y - 6, 0 = -3*y + 2*c + 4. Suppose 7 = y*k - k. Calculate the common denominator of 91\/4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c*k**3 + 880*c*k**2 - 2006*k**3 wrt k?\nAnswer: -6*c - 12036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 306, -7855, -16016, -24177, -32338?\nAnswer: -40499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9518*w + 4761*w + 4759*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 15*w**2 - 12*w - 34. Let h be i(16). Suppose 18 = -4*a - h. Is 1\/((-8)\/(-954)) + 3\/a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i + 360 = 3*i + 10*i for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v**(-1)\/v)\/v)\/v)**8\/(v**0)**29)\/((v**1\/v*v)**42*v**2*v*v*v**0*v*v) assuming v is positive.\nAnswer: v**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 344581 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1810000 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 495899 to the power of 1\/2, to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4527 = -5*c, -3*c + 3398 = 3*v + 677. Suppose c = -3*o + 2271. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -3.3822.\nAnswer: -2.3822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3134860?\nAnswer: 2, 5, 41, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/84 and -101\/1524.\nAnswer: 10668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 2\/11 (c) 19570 (d) 2 (e) -1\/8 (f) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0*z - 637 = 5*z, -4*z = 4*f - 592. Let c = 218 - f. Calculate the remainder when c is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 + l. Let z be w(1). Let q be 0\/(2 - (-1)\/z). Solve -m - 4*r - 20 = 3*m, q = 4*r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 + 3*h**3 - 4*h**3 + (5*h**2 - h**2 - 2*h**2)*(4*h - 14*h + h) + (-6*h**2 + 5*h**2 + 6*h**2)*(h - 2*h - h).\nAnswer: -30*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15471 and 764?\nAnswer: 61884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 39387.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7988 divided by 8\nAnswer: 1997\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 + 13. Suppose 475 = 3*u + w. Suppose -4*k = -2*k, 2*h - 5*k - u = 0. What is the remainder when h is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-63))\/(22*13\/429).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2634)\/(-4))\/((-26)\/(-52))?\nAnswer: 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 371625*x - 1098331 with respect to x.\nAnswer: 371625","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 6:52 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, p: 8}. What is prob of sequence pap?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 3120.\nAnswer: -9360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*f - 2*z + 18, 5*z = 2*f - 21. Let o(s) = 195*s - 32. Is o(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 27*c**2 + 7*c + 6. What is a(-1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 724 - 724 - 4*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 68*b + 7. Is l(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 20*n**3 + 273*n**2 + 16*n + 26. Let y(h) = 7*h**3 + 91*h**2 + 6*h + 10. Determine -3*c(j) + 8*y(j).\nAnswer: -4*j**3 - 91*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 596765495 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 5 + 5 - 4*a + 0*a + 3*a + 1 + 2*a - 1 + (-2 + 1 + 3)*(0*a + a - 3*a))*(-a**2 + 0*a**2 + 4*a**2).\nAnswer: -15*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39666.\nAnswer: 2, 3, 11, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -163, -369, -657, -1027?\nAnswer: -1479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9994\/21 + 476. Which is the biggest value? (a) 1\/8 (b) w (c) -75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3686249, 7372494, 11058739, 14744984?\nAnswer: 18431229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2155 is divided by 541?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2111 + -2108. Which is the closest to 2\/7? (a) -5 (b) u (c) 1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-8) + -1)*-2. Suppose -2*h = 2*v - 17 - 9, -4*v = 3*h - 47. Solve f - v = -d*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, b: 1, m: 2}. Give prob of sequence cbm.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 11. Let n be ((-13)\/(39\/2))\/(2\/(-363)). Let m = 118 - n. Let o be (-1*0\/m - 1) + 11. Determine d(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16 + 11 + (-1537)\/58. Let l = -4.4 - -4. Sort -3, l, x, 1\/5 in decreasing order.\nAnswer: x, 1\/5, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 54471 or 54564?\nAnswer: 54564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18428234 is divided by 140?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 423*k + 2105. Let a be i(-5). Suppose 8 = -0*j + 2*j. Sort a, j, 2, -5 in descending order.\nAnswer: j, 2, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 362*r + 3949. What is a(-17)?\nAnswer: -2205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = 14 + 64. Let d be -10 - g - (-94 - -2). Suppose -33*w + 38*w - d = 0. What are the prime factors of w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 45, -12, 11, 1, -1, 4.\nAnswer: -12, -4, -1, 1, 4, 11, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -18428 divided by -68\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-5))\/((-102)\/(-6))?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13270 by -1327.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4242 and 65852?\nAnswer: 1382892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2154 + -2123. Calculate the remainder when 772 is divided by q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 129*h**2 - 79*h - 10233. Give z(-129).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0)**(-12))**(-3\/17)*(l**4*l**2)**(-28\/3) assuming l is positive.\nAnswer: l**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 1:31 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008631353632 rounded to 5 dps?\nAnswer: 0.00086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p**3 - 2534*p**2 + 1272*p - 3802. Calculate o(633).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f + 6*f - 125062 = 30730. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 15 = -27. Suppose 0 = 2*c - 5*c - 12, i*c = -3*g + 8. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35187 or -35186?\nAnswer: -35187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - r**2 + 3*r + 1. Let v(f) = -f**2 - 11*f - 2. Let p be v(-11). Calculate s(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42467053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (481\/(-962))\/((-7)\/(-1498))?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 385177 - 1044599945\/2712. Find the common denominator of u and -17\/80.\nAnswer: 27120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 less than -999?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 703328?\nAnswer: 2, 31, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -5*g. Let n(x) = 3*x - 3 + 3 - 14*x. Let m = -5 - 1. Let b(w) = m*n(w) + 13*j(w). Let a(d) = 3*d**2. Give b(a(z)).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 1:27 PM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n = 2*v - 12*n - 242, -n = -4*v + 475. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l + 1. Let t be b(1). Solve -5*y - 3*k + 16 = t, 4*y + k = -k + 12 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 860.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**4\/6 - 7*j**3\/3 - 8*j**2 - 305*j + 1. Factor c(o).\nAnswer: 2*(o - 8)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * -181752921\nAnswer: 1817529.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -658, -655, -664, -691, -742, -823?\nAnswer: -940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*t = -367, -3*r - 2*t + 94 = -2*r. Calculate the greatest common factor of r and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11385 - -11384. Which is the smallest value? (a) j (b) 5 (c) -2\/5 (d) -30 (e) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11719 - -17522. Let d = 98735\/17 - q. Does d = 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -84*p + 119. Suppose 3*w - 23 = -2*v - 2*v, -4*w - 5*v + 29 = 0. Let k(h) = -h - 5. Let m be k(-5). Solve m = -4*a + p + w for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*o + 3*o + o + 1340185 - 1340185.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/((sqrt(198)\/sqrt(11))\/sqrt(3)))**2 + (sqrt(190)*3*-4)\/sqrt(10).\nAnswer: -12*sqrt(19) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 34. Let t = d - 9. Let g = -45 + 49. What is the remainder when t is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(-11*j - 9 + 9) + (-8 + 8 - 12)*(-2 + 2 + 1)*(-39*j + 43*j + 42*j).\nAnswer: -563*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8450\/3380)\/(((-68)\/(-8))\/(-1*1)).\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -89*a**2 - a. Let w(k) = k. Give r(l) + w(l).\nAnswer: -89*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -4*i - 3 + 27, -4*i + 3*n = -32. Let v be (0 + -1)*(i - 10). Let b = 0 - -3. What is the closest to v in -2\/3, 1, b?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 59, 193, 397, 671?\n\"Answer: 35*r**2 + 29*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from jultlclltlllt?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -14, -10531, 3, 1 in descending order.\nAnswer: 19, 3, 1, -14, -10531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 325 - 47. Let n = -266 + o. Calculate the smallest common multiple of 14 and n.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n - 20, 2*m + 2*n + 8 = 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -8 - 42. Suppose 0 = 3*b + 2*b - g. Put -2, b, 0 in decreasing order.\nAnswer: b, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 c when four letters picked without replacement from ccddkzzdcdscccdzk?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -289389 from -7.\nAnswer: 289382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4*b + 4)*(-3*b**3 - b**3 + b**3)*(-1337 - 2*b + 18*b + 1334).\nAnswer: -192*b**5 + 36*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 257 - 104*o**2 + 105*o**2 - 106 as b*o + l*o**2 + f and give f.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g - 3*g - 4*g - 9*g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, w: 3, o: 3, h: 2, q: 3, n: 2}. What is prob of sequence hohw?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -1220111100?\nAnswer: 1220111020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2105160 and 1908?\nAnswer: 6315480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1775?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1c (base 16) to base 6\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -11403, 5, 3\/4, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 68 = -1348. Is (-126)\/56*d + 2\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/5))**(-2\/3)\/(h**(2\/11)\/(h\/h**4*h)))\/((h*h\/((h*h**(-2))\/h)*h\/(h\/h**3)*h)\/(h**(-5)*h**(-2\/21)\/h)) assuming h is positive.\nAnswer: h**(-6164\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1167642000 divided by 24712?\nAnswer: 47250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (93*l + 1126*l**2 - 116*l + 23*l)*(0*l**2 - 2*l**2 + 3*l**2).\nAnswer: 1126*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -441434 by 132.\nAnswer: -220717\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + (sqrt(1300) + -2)*-3)**2 - (2 + sqrt(637)*-2).\nAnswer: -226*sqrt(13) + 5234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9b5 - 9?\nAnswer: 9a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*m, m + 12 = -0*t + 5*t. Find the third derivative of -3*n**4 + 203*n**t + 26*n**3 + 77839 - 77839 wrt n.\nAnswer: -72*n + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 484*l**3 + 584*l?\nAnswer: 2904*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -250860.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 307*h**3 - h**2 - h + 2. Is z(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 5*o**2 + o - 6. Let s be p(-5). Let d be 2 + -1 - -6 - (-3 - -6). Let h = d - s. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(0 - (0 + -1)). Suppose -v = -5*v + i + 7, 2*i = -3*v + 8. Let a be ((-8)\/6)\/(1\/(-3)). Solve v*w + a - 2 = b for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**5 - n**5 - 2*n**5 + (-3*n**3 + n**3 + 4*n**3)*(n**2 + 4*n**2 - 3*n**2).\nAnswer: 2*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 9*r**2. Let x(v) = 6*v - v + v - 5*v. Give x(s(l)).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6994 and 1302498?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 311510, 311515, 311520, 311525?\n\"Answer: 5*s + 311505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5405 divided by 1081\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -40 + -185b396?\nAnswer: -185b3d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -10*w - 13. Let k be t(0). Let y(d) = -58*d + 382. What is the thousands digit of y(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -21\/11, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100325 is divided by 33433?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (0 + (0 + 1 + 1 - 0))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*t + 87*t + 145*t + 122*t - 28*t.\nAnswer: 256*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 21 = 3*o, 12 = 158*i - 154*i - 4*o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ompm when four letters picked without replacement from xbyyyppmmxyoypp?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 30 = 6. Let q = -2 + r. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 + -19. Differentiate -m**4 - 24*m**4 - s + 10 - 15 wrt m.\nAnswer: -100*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(1\/2))\/u)**(-18))**(-4\/5) assuming u is positive.\nAnswer: u**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i - 10*i = -4*q, 2*q - 24 = -4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1403616077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471748676 is divided by 38?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33603, 33600, 33611, 33642, 33699, 33788, 33915, 34086?\nAnswer: 34307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/4)\/(2\/64). Let n = -40 - l. Suppose 10*c - 454000 = n*c. Round c to the nearest 10000.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4175, 4177, 4179, 4181?\nAnswer: 4183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -98\/135 - -16\/27. Sort c, -0.1, -1\/2 in decreasing order.\nAnswer: -0.1, c, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 846 less than or equal to -0.81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.39 + 368600152?\nAnswer: 368600135.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000043474 rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 8*a + 57. Let u be (2*3)\/((114\/(-4))\/a). Solve 6 = -2*i + u*j + 2, 5*i - 4*j = 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3810*l - 10732 = -86932 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**6\/120 - 11*i**5\/60 - 35*i**4\/4 - 1028*i**2 - 3. Find c such that j(c) = 0.\nAnswer: -10, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 683076908?\nAnswer: 2, 23, 1093, 6793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 28*g + 1. Let y(u) = -1. Give x(t) + 2*y(t).\nAnswer: 28*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 191, 2, 3 in ascending order.\nAnswer: -1, 2, 3, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10069 is divided by 1272?\nAnswer: 1165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 15. Let n be i(-9). Which is the second biggest value? (a) 3\/4 (b) 0.4 (c) -3\/4 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(-14)\/154*-11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 2*a = 13, 3*w - a - 6 = 2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 11:28 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (127 - 118) + 4 + -3 + (0 - 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -5. Suppose 6 = 2*q + 2*s - 0*s, 0 = -4*q + s + n. Let k = 8 - 3. Solve 3*g - q*g = k for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q - 2. Is 4 a factor of o(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5768207?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -l**6\/360 - l**5\/60 + 5*l**4\/8 - 16*l**3\/3 - 2. Let m(f) be the third derivative of o(f). Let p be m(-7). Is p < -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 138 - 259. Let z = b + 121.00000712. What is z rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74732 is divided by 37311.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-10)\/(-52))\/((-1322)\/137488).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7\/5, 0.3, -0.2, -29, 2, 9, 7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*a - 6 = 0. Suppose -a*i + 4316 = -4646. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 35 = 5*r, 0 = 4*m - 4 - 0. Let c be r\/(-14)*4\/(-8). Let n = -3 + 2. Do n and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.9, 5, 2.\nAnswer: -4.9, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1281 and 71.7?\nAnswer: -91847.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6601532087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/(-5))\/((-3)\/15). Suppose -5*n = 4*r - 73, -4*n - 2*r - g = -5*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 840*k = p + 838*k + 19, 3*p = -4*k + 13 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022 a factor of 106182734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1025890 + -41032123\/40. Let l = 419\/5 - q. What is the common denominator of -34\/3 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278386 a multiple of 548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23759\/4040 - -3\/505. What is the common denominator of (29\/(-3))\/(21\/27 - 3) and l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14157.3 rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -20 (b) 2\/7 (c) 44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 11:54 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j**2 - 3*j. Let h = 13 - 10. Let x be 0 + -5 + 2 + h. Suppose -b - b + 4 = x. Determine z(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -6\/11359 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1644 and 3699?\nAnswer: 14796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**2 - 69268*i = 0.\nAnswer: -34634, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -124483 or -124511?\nAnswer: -124511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11505 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/((-6)\/(-27)))\/(-4*(-56)\/(-96))?\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 + 0*a**2 + 21019*a - 21019*a.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**3*x**2*y - 2*j**3*y - 2*j**2*x**2 - 3*j*x*y + 47*x**2*y wrt j.\nAnswer: -6*j*x**2*y - 12*j*y - 4*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/sqrt(5) + -1)*6.\nAnswer: -6 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 6. Suppose 0 = 2*h + 4*k + 15 - 1, -5*k - 23 = -3*h. Sort 3, h, a.\nAnswer: h, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j + 15 = 0, -5*j = 5*m + 15. Suppose 43 = 5*a - m*x + x, 2*x = -3*a + 18. Solve a = -v - v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 + (13 - -5 - -2 - 8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 3\/40*k**4 - 2*k**2 + 0*k + 1\/5*k**3 - 2 + 1\/100*k**5. Let l(d) be the second derivative of i(d). Solve l(c) = 0 for c.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 - 22?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64975239 is divided by 69.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/64836 and -193\/11238240?\nAnswer: 33714720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.1*1.6.\nAnswer: 3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.28, 3.3, 65?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158804 is divided by 37186?\nAnswer: 10060","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -142 (b) -1 (c) -0.285 (d) 6 (e) 0 (f) -5 (g) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = u + u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -3*c - 150, -2*c - 184 = 3*u - 32. Let b be ((-18)\/(-3))\/6 - (1 + 50). Which is smaller: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/792)\/((-10)\/(-60))*-3*(-38)\/1?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 646744 and 41125989?\nAnswer: 2303055384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.4 - 3.2. Let z = 4.9 + -0.03. Let l = z + 0.13. What is the second biggest value in l, -2\/17, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of d**4\/4 + 5*d**3\/3 + 4*d - 1. Suppose -2*a - 5 = -l - 0*l, l = 4*a + 15. Calculate the least common multiple of 7 and j(a).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5264 by 4.\nAnswer: 1316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2 - 7*f. Let o be z(-5). Let g be (-5)\/(o\/(-48)) + 0. Is (84\/16)\/((-6)\/g) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.1, -0.21, -1, -5 in ascending order.\nAnswer: -5, -2, -1, -0.21, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/5466 or -6291?\nAnswer: -6291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 154 and 23254?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*t**2 - 14*t**2 + 4*t**3 - t - 2*t**3 - 56 + 9*t**2 as r*t**2 + a*t + z + k*t**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of g**4\/26 + 8*g**3\/39 - 5*g**2\/13 + 3808. Factor o(d).\nAnswer: 2*d*(d - 1)*(d + 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8488738 * 2\nAnswer: -16977476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 650745.4ug?\nAnswer: 650745400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 687867 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1499.80114 and 342448.\nAnswer: 340948.19886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 3\/2, -2\/5, -31\/4, -7, -36, 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2066 and 3.1.\nAnswer: 6404.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 603 (base 12) to base 10\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27595 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 - 141. Let w = l - -184. What is the closest to 1 in -0.4, w, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 87?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -20, 0.04673, 0.01, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*s + 17 = -30*s + g, 0 = -5*g - 15 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47.93 - 1.07. Let x = -48.99999974 - i. Round x to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 - 31. Suppose b - 5 = 0, o + 8 = -17*b + 19*b. Let v(f) = 2 - 5*f**2 - 2 - 9*f**2 + 11*f**o. Give g(v(y)).\nAnswer: 18*y**4 - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101100011 (base 2) to base 6.\nAnswer: 1351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 - 52*o - 1843. Determine y(45).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 1\/9, -357 in increasing order.\nAnswer: -357, 1\/9, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 247 + -12. Suppose 0 = 13*u - 8*u - v. Calculate the least common multiple of (5 + (-77)\/22)*2\/3 and u.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 300947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.5, -24\/49, 0 in descending order.\nAnswer: 4, 0, -24\/49, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 673\/65 + -132\/13. Put g, 0, 27, -1\/10 in increasing order.\nAnswer: -1\/10, 0, g, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80442500?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 4*k - 8. Let d be (-16)\/20*30\/(-4). Let x be i(d). Suppose -x*c + 0*c + 384 = 0. What is the greatest common factor of c and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/3 - 70*m**2\/3 - 416*m.\nAnswer: 2*m*(m - 48)*(m + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + 22. What is the third derivative of -10*x**2 - k*x + 47*x + 4*x**6 wrt x?\nAnswer: 480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**2\/8 + 5293*f\/4 - 2646 = 0. Calculate f.\nAnswer: 2, 10584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by 29\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4818 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, 5, 4, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 36*((-1)\/(-4) - 1). Let y = 43 + u. Suppose 3*r - 332 = -4*q, 3*q - r - 232 = r. What is the highest common factor of y and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -8. Let a be 0*1\/(h + 3). Suppose -2*x = 0, 4*l + 2*x - 92 = -a*x. Solve w + 4*u - 3*u = 7, -5*u = -w - l for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -402171196*x - 2. Let r(a) = -2*a**2. Determine c(r(k)).\nAnswer: 804342392*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9.6873447209 + 6.9\nAnswer: -2.7873447209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -34 + 10 + (-1 + 0 - -6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 3*m - 4. Let j be r(-4). Suppose j = -2*u - 45 - 35. Let x = u + 73. List the prime factors of x.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1821, 3334, 5863, 9408, 13969, 19546?\n\"Answer: 508*y**2 - 11*y + 1324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72509479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72980 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 + 1315333?\nAnswer: 1315354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/20)\/((-1575)\/(-60) + -26).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d*m*s**2 - 4*d*m - 1463*d*s + 10*m*s + 14*s**2 with respect to d.\nAnswer: 2*m*s**2 - 4*m - 1463*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**3 - 4*c**2 + 6. Let h(x) = 0 + 1 + 2 - x**3 - 2*x**2. Let f(l) = -12*l**2 - 214*l + 31. Let q be f(-18). Give q*h(i) + 2*b(i).\nAnswer: i**3 + 2*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1743.97511 rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = p - 2, 2*p - 5*p - 4 = -5*x. What are the prime factors of 28 - (4 + x + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -3\/5, -6\/7, -2\/23?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 2:44 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {a: 5, e: 2, s: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 5*g + 5 = -5*b, 5*g + 5*b = -5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -b - 7*b. Suppose 7 + 19 = -b*f. Let m = f - -108. List the prime factors of m.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 225, 0, -3 in ascending order.\nAnswer: -5, -3, -1, 0, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 1296 = -4*g. Let u = g + 457. Let v be u*6 + (2 - 0). Round v to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 67*y - 67*y - 7*y**2 in the form h*y + d*y**2 + w and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 4 - 910. Does 49 divide (53 + t)*5*4\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-34)\/(-17)*(-3)\/2. Is 0 + 1 + 3619 + -22 - s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -6*(-24)\/(-90))\/((-50)\/(-150))\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.02 (b) -1\/5 (c) -7642\/57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -11*u - 36. Let l be t(-24). Suppose 2 = 10*f - l. Suppose -m + 5*q + 49 = m, 2*m + 2*q = 14. What is the remainder when f is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*n - 20. Suppose -n*r + 8 = 4*s, -r + 8 = -0*s + 3*s. Suppose 2*y + 2*t - 118 = -0*y, s*y - t = 189. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -378 times 336.46\nAnswer: -127181.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -195*h**3 + 59*h + 193*h**3 + 19*h to z*h**2 + o + f*h + c*h**3 and give f.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13 + -23?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.08 + 0.08. Let v = 0.9 + 0.1. Which is the closest to -1? (a) k (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 1 + 1)*(0*b**2 - 2*b**2 + b**2)*(-b + b - 2*b**2) + 66*b**5 - 21*b**5 + 28*b**5.\nAnswer: 79*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5*h + 1186 - 56205 = 0, 0 = -5*o + 3*h + 68746. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 3\/2, -150\/727, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 8, f: 3, u: 7}. Give prob of sequence fuu.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {d: 2, i: 17}?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/(-4)*(2 + 0). Let j be -7 - ((-2 - -4) + -4). Let x = j - g. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or -8\/479143?\nAnswer: -8\/479143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 20112002 (base 3) to base 15\nAnswer: 161e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 4*d + 3956. Let y = 3994 + d. Suppose -4*c + 5*s + 2836 = 150, 3*s + y = 3*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0.4, -0.2, 0.2, 0.5 in increasing order.\nAnswer: -0.2, 0.2, 0.3, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2280 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)\/r*r**40)**(1\/41) assuming r is positive.\nAnswer: r**(37\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48 by 128.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/255 + -536\/3315. Suppose 23 + 6 = -29*l. Which is smaller: c or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 134\/(-120) + 2\/(-15). What is the second smallest value in -2\/9, 1\/9, -1\/2, y?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 2*r - r)*(0*r + 5*r - 3*r - 1 - 2*r + 1 + r + 2*r - r + (0 + 0 - r)*(0 - 2 + 3) - 2*r + 0*r + r + 3 + r - 3 + 1 - 1 + r + 160*r + 186*r - 258*r).\nAnswer: 90*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/1)\/(644\/2415*15\/(-6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6\/9*315\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 - 37. Let n(g) = -g**3 + 6*g**2 + 2*g. Let d be n(r). Solve -4*v = d - 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36*(-7)\/(-21))\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + -2. Let d = 5846 + -5846.3. What is the nearest to -4 in w, d, 1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-174)\/(-116))\/(26\/4) + 792\/117.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3442, -3456, -3470?\n\"Answer: -14*m - 3428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 4*z + 2. What is n(3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1045 and 516021?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (-1902)\/27*6*3\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107771 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*b + 588, -3*b - 2*q + 584 = -q. Suppose 6*h - 52 = b. Suppose -5*w = -5*k + 400, h = k - 4*w - 27. Is k a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 2\/11, 7, -1\/3, -1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 7*b - 2. Let h be v(1). Let d(r) be the third derivative of 0*r + 0*r**4 + 2*r**2 + 1\/60*r**6 + 0 - 1\/6*r**3 + 0*r**h. Differentiate d(i) wrt i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -34. Let d = v + 15. Let j(m) = m. Let u(n) = -18*n - 3. Let t(g) = 5*j(g) + u(g). Let r(x) = 4*x + 1. Give d*t(h) + 7*r(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-7 + 9 + -4 - -9)) + 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 394 = 5*m - 221. Let h = -126 + m. Let l(d) be the second derivative of -d**5\/20 - d**4\/4 + d**3\/3 - 3*d**2\/2 - 6*d. Give l(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from uugugggggg?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w - 5*w = -12, 0 = -m - w - 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64 - -82. Solve -3*b - 3*k = -0*b - 6, 0 = 3*b - k - i for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2478\/885*5\/11*(-22)\/(-24).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 g, and 1 f when three letters picked without replacement from {n: 2, g: 1, f: 1, d: 4, l: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/(-6)*(0 + 2). Let u be (n\/9)\/(2\/(-12)). Suppose -u*i + i = -12. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 530, 296, 56, -190, -442?\n\"Answer: -3*p**2 - 225*p + 758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 663067 divided by -5221.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 8*n**2 + 9*n + 3. What is the units digit of i(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15\/4*c**3 - 27\/4*c - 9\/4*c**2 - 3\/4*c**4 + 0.\nAnswer: -3*c*(c - 3)**2*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20245877, 20245873, 20245869?\n\"Answer: -4*i + 20245881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 1 - 3 + 11 - f. Let p be h(7). Suppose 0*u - 2 = -p*u. Which is the smallest value? (a) -5 (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*f + 87*f + 930 = 174. Let r(a) = a**3 - 4*a**2 + a - 4. Let s be r(4). What is the fourth smallest value in 5, -5, f, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 5 + 0 - 3 - 1 + (4 - 3 - 3)*(2 - 1 + 1))*(2*c + c - 2*c).\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.13 + 1635.13. Let u = m - 1626.2968. Let d = u - 0.7. Round d to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 996317.\nAnswer: 7, 20333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.6 + -1.6000079. Round w to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15021552.\nAnswer: 2, 3, 7, 13, 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3229512 and 5900070?\nAnswer: 306803640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 9*v + 8*v + 2*v - 6*v. Let b(o) = 3*o. Let f(r) = 18*b(r) - 4*z(r). Let c(w) = 24*w. Determine f(c(u)).\nAnswer: 48*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -132 (c) -1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u - 1. Let c be d(5). Let s(r) = r**2. Let w(h) = -7*h**2 - 7*h - 2. Let v(m) = c*s(m) - w(m). Let x be (-43)\/7 - (-1)\/7. What is v(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 6104?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64499689.\nAnswer: 2707, 23827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of 0*s**6 + 0 + 0*s**4 + 1\/20*s**5 + 0*s**3 + 0*s**2 - 10*s - 1\/42*s**7. Factor j(c).\nAnswer: -c**3*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 123*n**3 + n**2 + n - 1. Let b(d) = 614*d**3 + 16*d**2 + 4*d + 33. Let p(t) = b(t) - 5*j(t). Determine p(11).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -l - 5*y, -3*l + l + 76 = 5*y. Let b = l - 34. Which is greater: b or 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 16*a + 138. Calculate b(-10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44004 by 114.\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50 - 106. Let r be 5 - (6 + -6) - -8. Let d = r - n. List the prime factors of d.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 5*c - 3. Let b be u(-8). Let d be (-2)\/(-14) + (-87)\/b. Which is smaller: -3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/15 of a hour?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29.944 - 0.056. Let d = x - -28. Let i be (5\/(-10))\/((-14)\/(-8)). What is the second biggest value in d, -0.5, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1502563853.\nAnswer: 7, 17, 97, 130171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269660 is divided by 134830.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2. Let u(f) be the second derivative of 53*f**3\/6 - f**2 - 22*f + 4. What is h(u(l))?\nAnswer: 5618*l**2 - 424*l + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 224894431 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3747463 is divided by 88?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8496 and 2832.\nAnswer: 8496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55.29 - -55. Let h = -0.09 - v. Is -1\/3 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - 29. Let c(z) = -13*z + 15. Let j(g) = 6*g - 7. What is k*c(m) + 9*j(m)?\nAnswer: 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*z + 1306 = 5*r - 81*z, 2*z = -3*r + 776. What is the remainder when r is divided by 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 25*a**2 + 26*a. Let i be c(26). Solve -3*s - 12 = -i*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 8:23 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -953, 7, -5, -3, 5, -38 in descending order.\nAnswer: 7, 5, -3, -5, -38, -953","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16030 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 766249582.\nAnswer: 2, 7, 54732113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1089 and 30042.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5727425?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*y = -32, 2*k + y + 40 = -0*k. Are -16 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250506427 a multiple of 528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-9*2))\/(((-245)\/(-7))\/420)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -7*w - 39. Let d be t(-6). Solve -d*f = -0*f + 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81 by -4.\nAnswer: -81\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-21)\/6)\/(68\/(-7208)) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 divided by 17.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*3 + -3 + 2. Let n = -102 - -172. Suppose 3*y - 5*a = n, -2*y - d + 12 = 4*a. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 - 22. What is the smallest common multiple of (14\/1)\/1 + 0 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54141 * -2102\nAnswer: -113804382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2268, -12856, -23442, -34026, -44608, -55188, -65766?\nAnswer: -76342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2. Suppose -2*x - 20 = -4*j + x, -4 = x. Suppose 5*p - j*p = 0. Suppose -5*u = l + 23, -4*l + u - 8 = -p*l. Give k(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 29*x*y + 1051563*x + 3*y**2 wrt y.\nAnswer: 29*x + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -3*m + m. Suppose 13 = 4*q - m. Suppose 3*o + 1 - q = 0. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -2, -3, -3454 in increasing order.\nAnswer: -3454, -3, -2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 166? (a) -0.4 (b) 11 (c) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**2\/5 - 71007252*x\/5 + 630253729573938\/5 = 0?\nAnswer: 17751813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 1718609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3980)\/(-70) + -48 + 1\/7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t. Let d(j) = -5*j**2 + 17*j + 1002368. Determine r(d(q)).\nAnswer: -10*q**2 + 34*q + 2004736","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -61\/22?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70 + 631\/9. Let y = -8.8 + 8. Let u = -0.5 - y. What is the second biggest value in -0.1, u, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227113321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/25 + 44\/10. Let a(c) = 32*c - 11. What is the hundreds digit of a(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/18*(-1512)\/(-96)*4\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 784635.1898 rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, 3, -892.86?\nAnswer: -892.86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 34*k - 236. Give s(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -1.8 (c) -0.05 (d) -0.64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 (base 11) in base 12?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**2\/9 + 687242*m\/9 + 4810988\/3 = 0. What is m?\nAnswer: -21, 343642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.6 + -2.89. Let h = 23.29 + l. Let r = h + -22.9999955. Round r to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d*y**3 + 327925*d*y**2 - d*y + 53646*d wrt y?\nAnswer: 18*d*y + 655850*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*o + 13*o - 2*o - 9 - 7*o + 9 + (o - 2*o + 2*o)*(-3 - 2 + 0) + o - 2*o - o.\nAnswer: -13*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 6*t**2 + 7*t - 7. Let p be c(7). Suppose -h + 42 = -l, -5*l - 36 = -h - l. What is the remainder when h is divided by (-107)\/p + 2\/(-7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/3*(-54)\/30. Suppose -4 = -4*s - 0. Calculate the remainder when ((-4)\/3)\/(l\/(-9)) is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 0 - -2) + 1. Let u(x) = -1 + 11*x + x - 1. Is u(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17, 6, -29, -100, -219?\n\"Answer: -2*v**3 + 3*v + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 9, 7, -6, -3 in descending order.\nAnswer: 9, 7, 0, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 211133 + 2031?\nAnswer: 213230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**5 + 12*a - 12*a - 2*a**5 + 2*a**5 + 2*a**5 - a**4 + a**4 + a**5 + 0*a**5 + a**5 + a**5 + (2*a**4 - 4*a**4 + a**4)*(-4*a + 4*a - a).\nAnswer: 7*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2259, -2358, -2647, -3222, -4179?\n\"Answer: -16*l**3 + l**2 + 10*l - 2254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15752826 by 1143.\nAnswer: -13782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 769782.1km in nanometers?\nAnswer: 769782100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/5 (b) 2 (c) 43 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 657534?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397*z = -45*z + 159*j - 163*j + 1412, -j = -z - 5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 22*u = -198. Suppose 4*p + 234 = 3*t, 23*t - p - 78 = u*t. Calculate the highest common factor of t and 546.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + l + 4*l)*(8*l**2 + 4*l**2 + 5*l**2)*(1 - l - 1).\nAnswer: -34*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(-1)\/((4\/4)\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 5*l + 1. Let v(g) = -g - 24. Let d be v(-14). Let n be d*(1\/4 - (-170)\/(-200)). What is w(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u = 10*u - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + ((-35)\/21)\/(14\/(-91) - (-77)\/585)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21.1 - -11.9. Let a = 9 + t. What is the third biggest value in 1\/4, -4, 0.05, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g - 2. Let t(p) = p**3 - 2*p - 3*p + 4*p. Let a be t(2). What is the tens digit of l(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-146)\/18)\/(11\/33). Let g = n + 23. Let c = 1 + -2. Which is smaller: g or c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24285.549564 - -24287. Let i = q - 1.45. What is i rounded to five dps?\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 21*r**2 - 42*r - 71. Let w be v(-19). Solve -2*y = w*c - 24, 0 = 4*c + c - y - 18 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82755 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16\/41 - 61\/369. Find the common denominator of l and (-6)\/(-4)*(-38)\/(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - 40. Let c(z) = -3*z**3 - 3*z**2 - 3*z - 4. Let u be c(-2). Let j = u + -71. Which is greater: j or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 121807124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -613 by -5.\nAnswer: 613\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1755 times -0.2?\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 a, and 1 x when three letters picked without replacement from aaazazzzzaaxaz?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1614 - 1610. Put b, -10, -3, 7 in descending order.\nAnswer: 7, b, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.698 to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhs. What is prob of sequence hs?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -9010*c - 3041. Is d(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22 + -1303164?\nAnswer: -1303216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*5*6*2*sqrt(130))\/((sqrt(490) - (sqrt(490)*2 + sqrt(490)))*3*-2).\nAnswer: 25*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81826441?\nAnswer: 81826441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -10, 2\/7, 20?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 27\/2*a**4 - 3*a - 18*a**3 + 33\/2*a**2 = 0. Calculate a.\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1 (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-117)\/195*5 + (-282)\/(-70) + (2 - 3).\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggy when three letters picked without replacement from {g: 3, y: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b18 (base 12) to base 2\nAnswer: 11001000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (264*j - 748*j - 534*j)*(3 - 5 + 5) to the form d + q*j and give q.\nAnswer: -3054","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 + 47. What is the greatest common divisor of 2 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -22, -2\/3, -1\/8, 4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/9)\/(0 - -2). Let r(m) = m**2 - 7*m - 1. Let p be r(7). Let y be (0\/(-1))\/((-14)\/14). What is the closest to v in y, -1\/2, p?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q**2 - q**2 + 2*q**2 + 2 - 2*q**2 - 1 + 1 + 0*q**2 - 2*q**2 + q**2 + (3*q - 3*q - 2*q)*(-2*q + 2*q + 2*q).\nAnswer: -q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**4 - 3*z**4 + 232*z**5 - 109*z**5 + 249*z**5 + (32 - 32 + z)*(-z**4 + 6*z**4 - 3*z**4).\nAnswer: 374*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000505187016 to 7 dps.\nAnswer: 0.0000505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 196 by 59.\nAnswer: 196\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/36)*l*l*l\/l**17)\/(l**(-17\/2)\/(l*l\/l**(-2\/19))) assuming l is positive.\nAnswer: l**(-2303\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 12181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 11*r**3 - 2 + 1.\nAnswer: -11*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)\/p*p*p\/p**(6\/11))\/(p**(-8\/5)\/(p\/p**6*p)) assuming p is positive.\nAnswer: p**(-327\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96 + 4*g**2 + 96.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -9*p**2 - 5*p - 34. Let j(b) = -11*b**2 - 4*b - 36. Let h(k) = 4*j(k) - 5*s(k). Let y = 0 - 8. Let g be h(y). Do g and 18 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 104619341\nAnswer: -2\/104619341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11241 is divided by 194.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 991*s + 2 - 991*s + 27*s**3.\nAnswer: 27*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 102001020 (base 3) to base 13\nAnswer: 3885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -337 - -780. Suppose 2*h + 2*a - d = -3*a, -4*a = -4*h + 900. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.29 - -8.09. Which is the third biggest value? (a) o (b) -5 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/10 and 116\/87 - 267496\/199632.\nAnswer: 41590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, o: 5, m: 1, i: 2, g: 3}. Give prob of sequence mg.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5408516*n + 793166*n - 6511678*n.\nAnswer: -11127028*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-9))\/(19\/1197)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 divided by -278?\nAnswer: -25\/278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433675 is divided by 7046.\nAnswer: 3869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 10:07 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2285272 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -4.9. Let g = -4 - 1. What is the closest to l in g, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35085396683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 58 = -302. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.498082808 - -47696.383819192. Let d = -47697 + u. Let z = d - -0.118. What is z rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -283 - 0.162.\nAnswer: -283.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, 4, -1.\nAnswer: -3, -1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1086 (b) -41 (c) 3\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 230*b + 1363. Let z be k(-21). Is -3467 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -3*b**2 + 1659*b - 1656 = 0.\nAnswer: 1, 552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2676715857?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.096 + -12.896. Let n = x + 22.1. Let q = 9.2 - n. Which is the nearest to -0.1? (a) q (b) -4 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0. Suppose 2*j = 3*j + 5*p + 2, 0 = 5*j - 5*p - 20. Let l = j + -2. Solve m = -2*f - 2*f + 3*z - l, f + 4*z = 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q + 23. Let i be c(17). Is -28 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i**3 - 5*i**2 - 5*i - 5. Let v(s) = 2*s**3 + 3*s**2 + 3*s + 3. Let r be (8 - 18)*(-1)\/(-2). Give r*v(n) - 3*c(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 a when three letters picked without replacement from agiazgazgaieigazgii.\nAnswer: 50\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-159)\/477)\/((-2)\/3*-1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 2 = 2*q, 2*q = 6*q + 3*o + 18 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*u + 55. Suppose 25 + u = 4*a. Let k = 7 + a. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 2*a + 4*a + 2 + (7*a - 6*a + 6*a)*(6 - 4 + 0) to l*a + n and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.14, -11, 3\/5, 5, -1.32 in decreasing order.\nAnswer: 5, 3\/5, -0.14, -1.32, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeexxxkk. What is prob of sequence kkee?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 3225?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**7\/4200 + j**6\/600 - 5*j**4\/24 + j**2. Let y(n) be the second derivative of o(n). Factor y(a).\nAnswer: 3*a*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19\/(247\/117)*-21*9\/(729\/18)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -567637.5 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 203 or 199?\nAnswer: 203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -469 - -3755\/8. Which is bigger: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/5, 5\/4, 394.6 in descending order.\nAnswer: 394.6, 5\/4, 0, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2107 = 77*u + 1891 - 836 + 534 for u.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.39 meters to nanometers.\nAnswer: 54390000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -4, -14 = -2*a + 20*u - 15*u. What is the third derivative of -13495*d**4 + 13656*d**4 + 190*d**2 - 34*d**a wrt d?\nAnswer: 3864*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 - -34. Suppose -y + 5 = 4*b, -6*y + t*y - 16 = -5*b. Let g(i) = 2*i - 8*i + 5*i + b*i. Let v(m) = -5*m**2. Determine g(v(z)).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3023 + -3029. Which is the closest to -0.1? (a) 0.03 (b) s (c) 3 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 53*i**3 - 3*i. Let v(s) = 2*s**3 + 4*s**2 + 3*s + 8. Let q be v(-2). Is 19 a factor of z(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (-3)\/(-4) - (-58)\/8. Suppose m - 4*m = -b + v, -b - 3*m + 31 = 0. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z + 4. Let d(s) = 6*s - 2*s - 2*s + 5 + s. Give -3*d(q) + 4*n(q).\nAnswer: 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 1:20 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**3 + 92*f**2 + 4*f + 194. Determine s(-46).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -52525.5 < 38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 829330556?\nAnswer: 2, 67, 401, 7717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 122 or -1?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -164\/269 + 1358\/1345. Which is the closest to x? (a) -7 (b) -5\/2 (c) 4 (d) 246\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffedddddddddfdffdfdf. Give prob of picking 4 f.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/6*-4 - -4. Let g = 1.2527 + -1.0527. What is the nearest to 0 in 4, g, -0.1, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/3))**(-29)*((u*u*u**(-1\/2)\/u*u*u)\/u)**(-41))\/(u\/u**(3\/4)*u*(u**6*u)\/u*u*(u**(-1\/4))**50) assuming u is positive.\nAnswer: u**(-571\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 15*a**4 - 2056*a**3 + 6435*a**2 - 6405*a + 2130. Let i(k) = 5*k**4 - 683*k**3 + 2145*k**2 - 2135*k + 710. Let m(y) = 6*c(y) - 17*i(y). Factor m(f).\nAnswer: 5*(f - 142)*(f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 510714562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -5 + 8 - 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29802171.\nAnswer: 3, 7, 101, 14051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 15 - ((25 - -26) + (2 - 8))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.1 - -3.9. Let x = q - 1.3. Sort x, 3, -5\/2 in descending order.\nAnswer: 3, x, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*r**3 + 15*r**2 + 54*r - 47660.\nAnswer: 60*r**2 + 30*r + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y + 77 - 77 - 3*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of 1\/8*z**4 + 7*z**2 - 1\/30*z**5 + 0 + 1\/2*z**3 + 0*z. Give a(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -2) + -1 + -33 + 176\/4\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 14*s**2 - 32*s - 2792. What is c(-13)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - -609.\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*m - 3 = 203. What is the closest to -1 in 4, m, 15, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06380387 rounded to five decimal places?\nAnswer: -0.0638","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47487 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19331\/72 + 2404\/9. What is the common denominator of -57\/10 and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59 (base 14) to base 11.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -4 (b) -0.06 (c) 424 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**3\/9 + 208*v**2\/9 + 2240*v\/9 - 12544\/9 = 0. What is v?\nAnswer: -28, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4862\/1870*(-2)\/(-26)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4679181467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 652*s**3*x**2 - 275*s**3 wrt x?\nAnswer: 1304*s**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101110 (base 2) to base 11.\nAnswer: -1a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -199*t**6\/120 + 161*t**5\/30 + 242*t**2. What is the third derivative of v(r) wrt r?\nAnswer: -1194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 - 20*t**2 - 68*t + 84.\nAnswer: 4*(t - 7)*(t - 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -435 (base 6) in base 8?\nAnswer: -247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*g - 737 + 116 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*3*(-1*sqrt(22) - sqrt(22)))\/((-2*sqrt(352) + sqrt(22))\/sqrt(2))*-6)**2.\nAnswer: 2592\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s**2 + 128808*s + 515294. What is c(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 185973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**2 - 4*l**2 - 3*l**2 + (7 - 3 - 3)*(0*l + 0*l + l**2) - 3*l - 2*l**2 + 3*l + 0*l + 0*l - 2*l**2 - l**2 - 2*l**2 + 4*l**2 - l**2 + 6*l**2 - l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 716738.\nAnswer: 2, 11, 32579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**2 + 4*c**2 + 0*c**3 + 0*c**3 - 2*c**3.\nAnswer: -2*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (0 + -5 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 999 a factor of 131089779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 15 - 5 = 0. Suppose -p - 4 = k + 5*n, 5*k - 4*n = 115. Calculate the remainder when k is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 f when three letters picked without replacement from {e: 5, f: 2, q: 3, o: 3, p: 3}?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 20 = 3*o, 4*o + 16 = 5*o + 4*m. Let t = 10520\/7 + -10524\/7. Let p = 20 - 15. What is the closest to o in p, t, -10?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1194.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(((m*m\/((((m*m**10*m)\/m)\/m*m)\/m)*m*m)\/m)\/m)*m)\/m*m*m*m**8\/m*(m\/((m**(-1\/4)*m)\/m*m))**(-1\/16) assuming m is positive.\nAnswer: m**(1151\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*2\/(-4)*0. Let c(p) = -p**3 - p**2 + 2*p + 2. Let w be c(-1). Calculate the remainder when 8 is divided by w - (0 - 3) - g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 3 + 801*y**3 + 6 + 183*y**3 - 985*y**3 - 16.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by 125.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 570 and 506540?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ifj when three letters picked without replacement from {x: 5, m: 5, j: 5, f: 2, i: 1, u: 1}.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 478153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 92 = -3*l. Let s = -105 - -108. Suppose 183 = s*a - 162. What is the highest common divisor of a and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1189258 + 361*t**2 + 1189258.\nAnswer: 361*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s + 25*s + 13*s.\nAnswer: 46*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 427 is divided by 116.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -133*y - 3117. Let p(a) = -377*a - 9350. Calculate 17*m(s) - 6*p(s).\nAnswer: s + 3111","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 25689575 and 25689575 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 b when four letters picked without replacement from {o: 7, b: 9}.\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 13*u + 5. Let n be s(11). Suppose 661 = -5*q - 634. Is n smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.141177946 rounded to 4 decimal places?\nAnswer: -0.1412","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 3:53 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*n + 4050 = -4282, -2*n + 5550 = 2*z. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 5*x + 22. Suppose 18*q = 14*q - 28. Let y be p(q). Let t = -6 + 9. Solve y = -r - 2*v, 3*r - v = -t*v - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 4*a + 9*a - 2*a - 8*a.\nAnswer: -5*a + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (0 + (3 - (3 - -1)) + -6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 101000 (base 2) to base 3\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (72\/(-42))\/((-1)\/35). Suppose -3*j - 368 + 14 = 0. Let s be j\/(3 + (-1 - 4)). Which is greater: s or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -0.3, 207, 5, -3?\nAnswer: 207","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39247794 and 74134722?\nAnswer: 667212498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2388 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 4:00 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*v = 100, f = -f + 4*v - 68. Let o = f - -212. List the prime factors of o.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1762499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 12:55 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4\/3*(-1)\/((-2)\/(-1))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38436 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 20724264055\nAnswer: -20724264055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7637092, 7637094, 7637096, 7637098, 7637100?\nAnswer: 7637102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*t**5 - 639*t**4 + 4*t**3 + 6*t + 2368.\nAnswer: 140*t**3 - 7668*t**2 + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 3?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 24 = -31. Is c greater than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 616420949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) 2\/5 (b) 1\/17227 (c) -2 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -85*p**4 + 1875*p**3 + 1250*p**2 - 30000*p + 1760 = 0. Calculate p.\nAnswer: -4, 1\/17, 4, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 126133994059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -102*v + 32*v + 2 + 40*v + 31*v - 13. Let d be 2\/(-4) + (-200)\/(-16). Suppose 3*n = 3 + d. Give k(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (1 - 52) + (-14 - (586 - 588)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 7:29 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3718747.\nAnswer: 1787, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6322 (base 10) to base 8.\nAnswer: -14262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t - 5*t - t**5 + (-973 + 547 + 564)*(-1 - 2 + 0)*(-t**5 - 6*t**5 - 3*t**5).\nAnswer: 4139*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -744*r - 32 = -742*r + 3*y, 5*r - y + 12 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j = 36*j - 100. Let i = 296 - 114. What is the smallest common multiple of j and i?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 11 = -u, 4*f - 2*u + 0*u - 42 = 0. Solve 2*d + 4*b = -16, -2 = -d - 5*b + f*b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5432\/(-97))\/(-4256)*2?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/18 + 76\/(-18). Suppose -8*g = -3*g + 20. List the prime factors of (f\/(-6))\/(g\/(-144)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 19*l**3 - 2*l**2 + 1. Let p be o(1). Suppose -h + 25 = -p. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -0.5, 2\/3, -1, -48\/7?\nAnswer: -48\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 9. Let u be d(7). Suppose 9 = -i + u*b + 26, i - 21 = 3*b. Solve v + 6 = -2*y, 0 = -3*y + 2*v - i for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*0.12\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/19)\/(y*y**6)*(y**(-1)\/y*y)**(-14) assuming y is positive.\nAnswer: y**(134\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1249157839+301029\nAnswer: -1248856810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 11:51 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**3*x**3 + 2*b**3*x**2 + b**3*x - 574*b**2*x**3 - 305*b**2*x**2 - 2*b*x**2 - 2*x**3 wrt x?\nAnswer: 12*b**3 - 3444*b**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 1)*(-88187 - 3*p**2 + 122*p + 88879 - 119*p).\nAnswer: -3*p**2 + 3*p + 692","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v**2 + 26*v - 6. Let x = -273 + 279. Let h be m(x). Calculate the highest common divisor of h and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-42)*387\/(-86)?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 12:59 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102120 (base 3) in base 4?\nAnswer: 100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-4)*48\/10. What is the greatest common divisor of k and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81828 and 288?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44690*w**3 - 30482*w**2.\nAnswer: -268140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -48, -487, -1344, -2619, -4312, -6423?\n\"Answer: -209*u**2 + 188*u - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3091 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 2\/4 + 43\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**6\/120 + f**4\/4 - f**3\/3 + 30*f**2. Is p(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 16*w - 2. Let z be v(16). Let q be 8*(-3 - 7\/z). Let f be (-10)\/q*18\/(-15). Solve 0 = -f*n - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404*x + 826*x - 151159 = -1707*x for x.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 389311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -279.2 + 2.2. Let y = -257.56 - j. Let w = y + -20. What is w rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67411594 times -2.6\nAnswer: -175270144.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7212 is divided by 218.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/2*(9 - 497)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/6*3\/(-5)*-2. Which is the closest to -5? (a) 1\/4 (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 2755.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 8*v**2 + 5*v - 10. Let h be k(-7). Suppose 0*s - 4 = h*s. What are the prime factors of s + 1 + (6 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-4))\/((-7)\/63)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 20*n - 2125. Is 25 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + n**2 - 2*n - 1. Let z be (5\/(-3))\/((-1)\/3). Suppose -6 = 4*i - 2*v, 7*i - z*v = 4*i - 1. Let r be q(i). Which is greater: 2\/5 or r?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f + 9. Calculate i(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, v: 2, c: 1, s: 1}. What is prob of picking 2 v and 1 a?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*(14 - (-985)\/(-70)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192110751 a multiple of 3595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -20797420 divided by -13958\nAnswer: 1490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-4))\/(288\/5952) + 0\/(-1). Solve x = d + 6, d + 34 = m for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4029, -4, 4, -92 in increasing order.\nAnswer: -4029, -92, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 5*d**2 + 3. Let k = 58 - 61. Let b(u) = -u**2 + 1. Suppose 2*g - 1 = 5*p + 2, -2*p = -g + 2. Let z(c) = k*b(c) + p*s(c). Solve z(f) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -10*n**3 - 36*n**2 - 10*n + 15*n**2 + 21 + 61*n**3 + 31*n + 19*n**3. Let p(z) = -7*z**3 + 2*z**2 - 2*z - 2. Let b = -5 - -3. Give b*r(w) - 21*p(w).\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = a + 93. Let g = 293 + a. What is the highest common divisor of 64 and g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 0.029, -0.18, 4, 0.5?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 300.\nAnswer: 7\/300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3025 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-2) + (5 - 3) + -2. Which is the closest to -2\/7? (a) -1\/7 (b) o (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 divided by 7?\nAnswer: 82\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 9*b - 5. Let m(r) = -2 + 0*r + 1 - 5*r + 4. Let i(u) = 3*c(u) + 5*m(u). Let g(z) = -3*z. Calculate g(i(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.29 + 0.45. Let s = y - 0.24. What is the biggest value in 4, s, 0.02?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g**3 + 59*g**2 + 13*g + 32. Let m be k(15). Suppose 3*c - 3*j = -0*c - 36, -26 = 3*c - j. What is the fourth biggest value in -2, c, -1\/4, m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -l + 5*r, 0 = 15*l - 19*l - 4*r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 8 = -6*m + 8*m, 3*q + 5*m + 11 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - -2852.\nAnswer: 2852.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-4))\/(1\/4). Let a(d) = -38*d + 75. Let v = -20 + 22. Let k be a(v). Sort 5, c, k, 3 in descending order.\nAnswer: 5, 3, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23415 - 23374. Which is the nearest to 2\/7? (a) 0.21 (b) s (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(432)*-3 - sqrt(432))*4 + 3*sqrt(432)*5)**2 + 3)*2.\nAnswer: -192*sqrt(3) + 902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d + 1. Let t be n(-6). Let l = t + 11. Suppose -3*z + y + 4 = l, 4*z + y - 8 = z. Solve g = 2*g + z for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72410 to the power of 1\/2, to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -4\/7, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -589*s**2 - 1283 wrt s.\nAnswer: -1178*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -48\/53?\nAnswer: -48\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -82*a**2 + 15*a - 2. Let r(k) = -2*k**2. Determine s(r(w)).\nAnswer: -328*w**4 - 30*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 27646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-22) + (-70)\/(-22). Let n = b + -1. Calculate the lowest common multiple of n and 68\/16 - 1\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165634171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113.7962 nanoseconds to seconds.\nAnswer: 0.0000001137962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 14*i**2 - 64*i - 144. Let k(z) = 3*z**2 - 2*z - 4. Give h(c) - 5*k(c).\nAnswer: -c**2 - 54*c - 124","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 10554?\nAnswer: 21108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000001520516 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*j - 38*j - 3*j**2 + 120*j.\nAnswer: -3*j**2 + 21*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 509310 and 0.2?\nAnswer: 509309.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiiii. Give prob of picking 4 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4*t = 0, 0 = -5*m + 2*t + 6. Suppose 5*h + z - 26 = 0, -m*h - z + 6 = -5*z. List the prime factors of ((-8)\/h)\/(1\/(-5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**5\/30 - 7*q**4\/9 - 49*q**3\/9 - 490*q. Solve x(o) = 0 for o.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 3*h - 9*h - 3*h + 10 in the form j*h + n and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 26109, -58 in decreasing order.\nAnswer: 26109, 3, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 439\/5 (b) 63 (c) 0.3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 6*v - 40 = -v, -3*z - 3*v - 30 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/3 - 1378*z**2\/3 + 55303*z\/3 + 56680\/3.\nAnswer: -(z - 40)*(z + 1)*(z + 1417)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**5 - 204976*s**4 - 2665160*s**3 - 10456160*s**2 - 13736764*s - 5740784 = 0. Calculate s.\nAnswer: -7, -4, -1, 51257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(450))\/sqrt(9))\/(sqrt(10)*-4*-1).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1116*x - 36263 = -27335 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 36*z + 4. Let t(j) = -12*j - 1. Let p(o) = r(o) + 2*t(o). Let u(h) = 6*h + 1. Give 2*p(b) - 5*u(b).\nAnswer: -6*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -764 and -762 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/337 bigger than 10\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -33. Calculate the remainder when 14 is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 10*j. Let k be b(4). Suppose 2*d = 4*a - 32, -k = -6*a + a + 3*d. Suppose -n + 2*f - 12 = -2*f, f = -n + a. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1457*a - 3855*a - 8433*a - 25418*a.\nAnswer: -39163*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in 58, 4, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2040467800 to the nearest 1000000.\nAnswer: 2040000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xbsbsxssbb. What is prob of picking 3 b?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 410 is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y = 2*a + 40 - 42, 4*y = 4*a + 16 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 4*x - 7. Let n be q(5). Let a be (-13)\/26 - 1\/n. Suppose -18*m**3 + 69*m + 6*m**3 - 36 + a*m**2 + 9*m**3 - 30*m**2 = 0. Calculate m.\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1199208 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Put -0.0747, 2\/79, 0.5 in descending order.\nAnswer: 0.5, 2\/79, -0.0747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 13*c + 63. Let w(z) = -116*z. Give w(v(d)).\nAnswer: -1508*d - 7308","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 265137.3 rounded to the nearest one hundred?\nAnswer: 265100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 666*h - 35328 = -438*h for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmpmmpmm.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -4. Suppose -k*v = -0*v - 16. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 18 - 6)*(-f + 2*f + f)*(3 + 0 - 1).\nAnswer: -136*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1)*(-2 + 2 - w)*(8 + 8 - 2).\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228125 is divided by 113554?\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -146*j**2 - 149*j**2 + 287*j**2. Let y(w) be the second derivative of -w**4\/3 - w. Give y(m(k)).\nAnswer: -256*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 136121.8 times 0.1?\nAnswer: 13612.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 4886.\nAnswer: 4886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -182*n + 23. Suppose -2*t - t = -r - 18, -t + 3*r = -6. Suppose -3*h + 4*h + t = 0. Is o(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t*u**4 - 2*t*u**3 + 589441*t*u**2 + 7*t + 35*u - 741 wrt u.\nAnswer: 24*t*u**2 - 12*t*u + 1178882*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -6*z**3 - 2*z**2 + 2. Give r(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12300, 12096, 11892, 11688?\n\"Answer: -204*q + 12504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 10 + 7 = -4*l, -l + 22 = 4*n. Suppose -n*s + 0*s = -125. Solve 3*w = -2*w - s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0.17, 0.17636 in increasing order.\nAnswer: -9, 0.17, 0.17636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 45 = 9*d. Which is greater: -5\/2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2305106 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100, -71, -42, -13?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 4*j + 8. Let z be i(5). Let y be 180\/z + 1\/26*4. Find the second derivative of y*k + 2*k + 4*k - 23*k**3 - 2*k wrt k.\nAnswer: -138*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*q - 114*q - 6*q**2.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 4*f - 4. Let a(u) = -3*u**2 - 11*u - 11. Let r(v) = 4*a(v) - 11*i(v). Let m(q) = 5*q**2 + 4*q**2 - q**2. What is m(r(k))?\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 188259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*v - 174 = 1071 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 207169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*q**2 + 16*q**2 - 22*q**2.\nAnswer: -30*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 3937, 1 in descending order.\nAnswer: 3937, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3070804507 - 0.\nAnswer: -3070804507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*i = -m + 62, 3*m - 98 = -2*i. Let u be 1*(m\/8 + -4). Factor -9\/4*y + y**2 + u.\nAnswer: (y - 2)*(4*y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4032, 3862, 3656, 3396, 3064?\n\"Answer: -3*t**3 - 149*t + 4184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 4*t + 8. Let z be n(-5). Let d(i) = 2*i - 5. Calculate the least common multiple of (-2)\/z*9\/(-2) and d(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 8*z + 3. Let g be 2\/((-46)\/(-8) - 6). Calculate f(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 11*k - 6. Let t(x) = -x**2 - 6*x + 6. Let s be t(-8). Let a be d(s). What are the prime factors of ((-6)\/a)\/(9\/(-222))?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 0 + 0 + (29 - 20 - 12)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2935.\nAnswer: 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1245 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25736538 to the power of 1\/3, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 409955355, 409955356, 409955357?\nAnswer: 409955358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -175, -21, 5, 1, -5, -3 in descending order.\nAnswer: 5, 1, -3, -5, -21, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, n: 6, u: 3, v: 3, g: 1, s: 3}. What is prob of picking 1 v and 1 u?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -210285 to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 15*j + 85. Suppose 3*u - 3*w + 34 = -2*w, 2*w - 18 = u. Let q be c(u). Solve -6*t - q = -23 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6265*i**3 - 6598*i**2?\nAnswer: 37590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47\/(-12) + 4 - 7526\/8520.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08665 rounded to three dps?\nAnswer: -0.087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 2)*(21*g - 20 + 20) to z + p*g and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 15*j - 12. Let q be a(-14). Solve 0 = -q*c, 5*o + c + 3 + 2 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 3 + -14 + 3 + 3 + -10.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 49*r**2 + 5*r. Let p(i) = 49*i**2 + 6*i. What is -5*p(v) + 6*y(v)?\nAnswer: 49*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 440401.6 meters in centimeters?\nAnswer: 44040160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/3*(-4263)\/2058*-2?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -6*k - 5. Let c be z(3). Let g(w) = 3*w - 4. Let l be g(-6). Which is smaller: l or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*-1)\/sqrt(6))**2 - 5*(1*sqrt(19))**2.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -315812 and -0.5.\nAnswer: 157906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 11:09 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0. Let c(y) = -4*y**2 + 6 + 2*y**2 + y**2. What is the units digit of c(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + 4*w - 4*w + (-3 - 4 + 6)*(3*w - 5*w + 4*w) + 2*w - 3*w + 3*w + (-17*w - w + 3*w)*(-4 - 1 + 3) - 2 + 2 - 4*w.\nAnswer: 24*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1494, -13 in decreasing order.\nAnswer: 1494, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137432 is divided by 68709?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2361.8588 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 173*z**7\/42 + 437*z**3\/2 - 6*z**2 - 175*z. Find the first derivative of f(d) wrt d.\nAnswer: 3460*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of 0*v**3 + 0*v + v**2 + 1\/24*v**4 + 0. Let j be r(4). What is the nearest to 0 in -1\/4, j, -0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25294431 rounded to the nearest ten thousand?\nAnswer: 25290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 174.079 + -174. Let w = -25.079 + j. Let d = -21 - w. Put -1\/4, 12, -5, d in increasing order.\nAnswer: -5, -1\/4, d, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4084739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 17 = -l + 5, -14 = -m + 3*l. Suppose -12*t = -m*t + 28216. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64\/80 + 136\/(-20).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30652 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -2, -3\/2, -16?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1228 + 1222. Let j(b) = 6*b - 5. What is j(u)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*l - 454*l - 43555 = -163*l + 18929 for l.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a hour in minutes?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 11*t - 7*t - 46, h - t = -17*t - 26 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tegtiteiittt. Give prob of sequence tteg.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 938*q + 1612*q - 2 - 2545*q.\nAnswer: 5*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 172 and 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10111 rounded to three dps?\nAnswer: -0.101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 199, 4, 455, -4 in increasing order.\nAnswer: -4, -3, -1, 4, 199, 455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(75\/81 - 1). Calculate the greatest common factor of 297 and o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3\/8*f**3 + 0*f - 9\/8*f**2.\nAnswer: -3*f**2*(f + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7857 + -4575. What are the prime factors of l?\nAnswer: 2, 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 598771 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0*6\/(-42))\/(((-117)\/13)\/9). Let c be (4\/(-3))\/(4\/(-6)). Let b(h) = h**3 - 5*h**2 + 2*h - 6. Let s be b(5). Solve g - c + s = l for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -4*j - 0*p + 5*p, 3*p = 3*j - 69. Suppose 4*t + 8 = -4*l - t, -l + 4*t + j = 0. Find the second derivative of -2*g**5 - g + g + l*g wrt g.\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-8)\/(-4)*3\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, s: 2, x: 4, u: 2, l: 1, j: 6}. What is prob of picking 1 j and 1 x?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56 - -1. What is the remainder when (-2)\/(0 - -1) - -11 is divided by (-66)\/p*15\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*k + 18 = 224*k for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (3 + (2 - 4) + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*l**3)*(-4 - 4 + 9) + l**3 + 2*l**3 - 4*l + 3*l.\nAnswer: 5*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**3\/10 - 448887*r**2\/10 + 2020023*r\/5 - 4040064\/5 = 0.\nAnswer: -448896, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -28, -3, -354, -19 in increasing order.\nAnswer: -354, -28, -19, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 4*u - 20 = -u, m - 4 = 3*u. Let x be 1\/4 - 10\/8. What is the closest to x in -4, -2\/7, m?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/35848 and -23\/17924.\nAnswer: 35848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 678 greater than or equal to 677?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 104268648683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*b = -86*b - 4*n - 6, 2*n + 14 = 0. Let h be (-4)\/3*(-5 - -2). Solve -b = -h*q - 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 199901 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-4 - (7 + (-4 - 0)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7153.43 micrometers?\nAnswer: 7153430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3021332121 (base 4) in base 2?\nAnswer: -11001001111110011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - 2873\/(-408)) + (-44 - -51).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14414, 58172, 131102, 233204, 364478, 524924?\nAnswer: 714542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(((-76)\/285)\/((-4)\/10))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.4? (a) -1 (b) -2\/3 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence apa when three letters picked without replacement from {w: 7, a: 5, p: 4}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -33. Calculate the remainder when 17 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 3*q**2 - 3. Let c = 4 - 2. Suppose 4*y - 10 = 3*w, c*w + 2 = 2*y - w. Let t(h) = -y + 5*h**2 + 3 - h**3 - h**3 - 4. Give -5*b(f) + 3*t(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 41 (b) -1\/6 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 5*n**2 - 15*n - 5. Let i be u(-7). Suppose -i*p + 331 = 5*d + 89, -484 = -4*p - 4*d. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 59966592 and 378.\nAnswer: 539699328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 6 - 54. Suppose 0 = -2*c - 2*c + h. Let s = 8 - 6. Solve 2*x = g - 1 + 2, -s*g = -c*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of q**4 - 7628*q + 15157?\nAnswer: 4*q**3 - 7628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -101, 153, -5, -2, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 289882 less than 289880?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1044 and 648.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 - (4 - 6))*3*-278?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*o - 2*t - 9, -5*t = -3*o - 13. Which is the nearest to 6? (a) o (b) -4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a**2 + 3*a**2 + 4*a**2)*(-3*a**2 + 4*a**2 - 2*a**2) + (-3*a**2 + 6*a**2 - a**2)*(3305 - 3305 - 59*a**2).\nAnswer: -119*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2. Let b(o) be the second derivative of o**4\/6 - 30*o**2 + 2*o - 91. What is c(b(d))?\nAnswer: -8*d**4 + 480*d**2 - 7200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8269035 rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*-2*sqrt(30))\/((sqrt(30) - sqrt(270))\/sqrt(5)).\nAnswer: -4 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w - 8 - 4. Let j(h) = 13*h**3 + 2*h**2 - h - 2. Let x be j(2). Let o be 2 - x\/(w\/1). Calculate the greatest common divisor of 28 and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r - 6. Let a be b(-3). Suppose -3*x = -4*q - 121, -x + a*x - 122 = 4*q. Let t = q - -79. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + sqrt(304)) - (2 + 2 + (sqrt(76)\/sqrt(4))**2).\nAnswer: -15 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 + -41. Suppose 3*g - 14 = 4*y, 2*y + 7 + 5 = 4*g. Let h(d) = 3 + 2 - g*d + o*d - 4. Give h(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q**3 + q**2 - 1. Let c be j(1). Let b = 4462 + -4463. What are the prime factors of (b - -345)\/c + -4?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of 17*p**6\/720 - 13*p**4\/12 - 44*p**2. Let m(a) be the second derivative of s(a). Let l(h) = -2*h. Determine m(l(c)).\nAnswer: -34*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1640 or 1646?\nAnswer: 1640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22726656 and 360.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l + 6*l + 6*l - 6*l.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from pzdzbzfzzzzzzziipb?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -0.35535546.\nAnswer: 0.071071092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-14) + (-1661)\/(-77) + -17. Solve -34 = -n*k - 49 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*k**2 - 50498 + 2929*k**3 + 48295 + 2*k**2 + 3505*k**3 wrt k?\nAnswer: 19302*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2\/5 - 32684*k + 163400.\nAnswer: 4*(k - 40850)*(k - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 + 51 + 9 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + (sqrt(171) + sqrt(171) + 3*sqrt(171) + sqrt(171))*-3)\/sqrt(9).\nAnswer: -17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1608, 3217, 4824, 6429, 8032?\nAnswer: 9633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -1\/6*k**4 - 9\/2*k**3 + 0 + 55*k + 7*k**2. Factor a(z).\nAnswer: -(z + 14)*(2*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -23. Suppose -v + 39 = 3*h. Calculate the remainder when 24 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03566 * 342.\nAnswer: -12.19572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 579987671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2497 - 2501 = -4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**3*j**2 - 5163742*g**3*j + g**3 - 6*g**2*j**2 - 173073*g**2*j - g*j**2 - 3*g wrt g.\nAnswer: -12*j**2 - 30982452*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1868*f**4 - 78969*f**3 - 533492521*f**2.\nAnswer: 44832*f - 473814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*17\/(-8) + (-61)\/(-244). Let x(k) = k**3 + k**2 - 7*k + 9. Give x(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 z when four letters picked without replacement from azaazaazaa.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 smaller than 0.335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 2*m - 17. Let g be 1*((4 - (-4)\/m) + -1). Is ((-21)\/(-12))\/((g + 3)\/1112) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 2\/7, 3\/4, 2, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -79, -380, -881, -1582, -2483?\n\"Answer: -100*c**2 - c + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2507?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -39*a + 2434. Calculate o(64).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by 2510097?\nAnswer: -14\/2510097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 7734 = w, -3*o + 3456 = 4*w - 2338. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -6*w**3 - 40*w**2 - 49*w - 143. Determine m(-5).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 2*h - 0*h - 64, 2*h + 36 = 3*p. Let x be p*9\/6 + -1. What is the highest common divisor of 30 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/3*m**2 - 137641\/3 - 742\/3*m = 0. Calculate m.\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/4 and 45\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2314861 divided by 4?\nAnswer: 2314861\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 0*r**3 + 0*r**6 - 5\/12*r**4 + 0*r**5 + 1\/21*r**7 + 0*r**2 + 0 + 4*r. Find the third derivative of p(w) wrt w.\nAnswer: 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 633072\/(-142780) + 66\/15?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8302 - 2295. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - ((sqrt(117) - sqrt(117)*1) + sqrt(117))*4) + -4*sqrt(117)*1)\/((5*(sqrt(1089)*2 + sqrt(1089) + sqrt(1089)) + sqrt(1089))*1).\nAnswer: -sqrt(13)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - c**3 + 8 + 0*c**3 + 2*c + (-13 - 12 + 24)*(-6*c**3 + 2*c**3 - 3*c**3) to the form b + r*c**2 + f*c + k*c**3 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate x**3 - 2*x**2 + 379*x + 1248 with respect to x.\nAnswer: 3*x**2 - 4*x + 379","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 0*j**5 + 0*j**4 - 2*j**3 + 2\/7*j**7 + 1\/2*j**2 - 100 + 5\/6*j**6 + 0*j. Find the third derivative of g(r) wrt r.\nAnswer: 240*r**3 + 300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2cb (base 16) in base 8?\nAnswer: -1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -578*x**3 - 6*x**2 + 66*x + 75. What is v(-1)?\nAnswer: 581","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 331105?\nAnswer: 5, 66221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/100523 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + 44. Calculate the remainder when (68\/102)\/((-1)\/(-111)) is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -633300 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*a + 2 - 3*a**3 - 14*a**2 - 2 - 37*a wrt a.\nAnswer: -18*a - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 45*x = 102, -653*b + 654*b + 5*x = 6*x - 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380*b - 381*b + 9 = 0. Suppose b*h = 3468 + 1113. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.67085511 to 2 decimal places.\nAnswer: 16.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8329 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a - 15 = -11*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 4 = 2*a, 78*a + 16 = 74*a - 2*p for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 4, 271, 2, 5, 1, -5 in descending order.\nAnswer: 271, 14, 5, 4, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uoocoououoottu. Give prob of picking 2 t.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 33*o**2 + 3*o - 2. Is i(1) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21200 + 1?\nAnswer: -21122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/4*2\/16*8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 16. Let v(d) = 2*d + 31. Let h(i) = 6*v(i) + 11*w(i). Suppose 2*z = -2*z + 188. Calculate the remainder when z is divided by h(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 666 and 1110.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 21 = 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8116.002ng in grams?\nAnswer: 0.000008116002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 109 = 547. Let h be 0 - (-9)\/6 - s\/4. Suppose 42 = 2*u - 32. What is the greatest common factor of h and u?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**0\/t)\/t)\/((t\/(t**13\/t))\/t))\/(t**(2\/13)\/t*t*t**(-1)) assuming t is positive.\nAnswer: t**(141\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((-3 - (4 - 13)) + -6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 7*l + 2. Let a be z(7). Let i = 7 + -10. Sort -13, i, a in increasing order.\nAnswer: -13, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 39, -122, -329, -588, -905, -1286, -1737, -2264?\n\"Answer: -s**3 - 17*s**2 - 103*s + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 517439 is divided by 2889.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 6*c - 56, 19875*c - 19876*c = 2*l - 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/14 + 13\/(-91). Suppose b + 0*b - 8 = p. Suppose -b - 2*z**2 + 3 - 2*z + 7 + 2*z**3 = 0. What is z?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -422846579 or 0.1?\nAnswer: -422846579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**5\/60 - 7*u**4\/24 - u**3\/2 - 6*u**2. Is w(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1107\/164)\/((-17)\/68)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5589 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00229477 rounded to 5 dps?\nAnswer: -0.00229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 12. Suppose -q + j = 4*q. Suppose 0 = q*k - 13 - 17. What is k rounded to zero decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20280)\/12675*(-395)\/(-8)\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*y**2 - 25 wrt y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25 - 2) + 13 - 17.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/5 + 48\/15. Suppose 0 = -h - r + 93, u*r = h - 2*h + 91. What are the prime factors of h?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = p - 20, -d = 6*p - 4*p - 7. Suppose -p*q = -2*a - 28, 4*a + 5*q + 38 = -48. Let f = 53 + a. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.8 + 79588.2771.\nAnswer: 79606.0771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 558549*p**3 + 842344 wrt p.\nAnswer: 1675647*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l + 2. Let v be 1 + -3 - (0 - 0). Give g(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**2 + 37*a - 25. Let s(q) = -3*q**2 - 36*q + 26. Let u(v) = -3*h(v) - 4*s(v). Is u(15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -313 + 358. Let p = 42 - h. Let d = 6 - 4. Put d, 5, p in descending order.\nAnswer: 5, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -519*b**4\/4 - 529*b**2\/2 - 262. Find the second derivative of x(q) wrt q.\nAnswer: -3114*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**6\/720 + u**5\/60 - u**4\/24 - u**2. Let n(a) be the second derivative of q(a). Is n(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + (-9 - 7 - -9). Let u = -119.1 + -10.9. What is the closest to u in -5, 5, 0.2, s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 7296994*i + 7296991*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/8, -310, -3\/4, 0.1, 3?\nAnswer: -310","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78 - -548\/7. Let u(j) be the first derivative of 1 - 3\/14*j**2 + x*j + 1\/21*j**3. Factor u(y).\nAnswer: (y - 2)*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -339, -337, -335, -333, -331, -329?\n\"Answer: 2*x - 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -60850*d*p**3 + 6510*d*p**2 - 20*p**3 + 575798*p**2 - p + 3 wrt d.\nAnswer: -60850*p**3 + 6510*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 + -105. What is the remainder when (-10)\/m + 475\/9 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*h - 12*h**4 + 2*h - 3 - 5*h**3 - 79*h**2 + 3*h**3 + 78*h**2 to j*h + m*h**4 + a*h**2 + r + v*h**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -51 (base 7) to base 8\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkslshlhxhfshxlhl. What is prob of picking 2 h?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 44700 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-169)\/840 + (-1)\/(-7). Let u = 1541\/10 + -154. Let o = u + r. Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -3)*(-1 - 0). Suppose u = 5*w + 5*v - 225, 3*w = v + 2*v + 123. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 + 0)*(-18*o**2 + 667 - 359 - 352) in the form i*o**2 + g + b*o and give g.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - j)*(j**2 - 2 - 1 + 5)*(21*j + 14*j + 10*j).\nAnswer: -45*j**4 - 90*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -j - 4*m + 14, -j = 2*m - 13. Let y = j + 12. What is the greatest common factor of y and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -11. What is the remainder when 23 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 8*t**2 - 58*t - 235. Determine u(-4).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 11. Let p = -1 + h. Let b(t) = 1185713*t + 9. Let v be b(p). Round v to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 10*c**2 + 12*c - 11. Calculate y(8).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -4171063\nAnswer: -8\/4171063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 131 + -131. Solve -w + a = p + 3, 2*w = 2*p - 14 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28133470 rounded to the nearest 10000?\nAnswer: -28130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 7*d - 22. Let q = -61 - -65. Let w be n(q). Which is smaller: -11 or w?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 434909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 1)*(6*i + 3*i - 4*i) + 4*i + 20*i + 8*i.\nAnswer: 22*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 556718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d + 4. Let h(i) = 5*i + 20. Give 2*h(c) - 11*r(c).\nAnswer: -c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**5 + i**5 - i**5 + (2*i**3 - 2*i**3 - i**5)*(-4 + 4 + 1) + 27866*i**5 - 14501*i**5 - 14460*i**5.\nAnswer: -1099*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*k - 3*p, -3*k = k - 5*p - 105. What is the greatest common divisor of k and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/14 - 99\/(-21). Let w be -2*(-3)\/(-6) + v. Let x be (-2)\/8 - (-63)\/12. Solve -3*y + x = -w*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2194590949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7292389 + -980281.9?\nAnswer: -8272670.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 3*n - 1. Let x be b(1). Let v(i) = 17*i - 1. Give v(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42.6 + 1156\nAnswer: 1113.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5797 or -5777?\nAnswer: -5797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214013?\nAnswer: 17, 12589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -14, -5, 1\/5, 714\/815?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w**4 - 8*w**2 + 4. Let u(h) = 7*h**4 - h**3 - 15*h**2 + h + 8. Let r(b) = -11*a(b) + 6*u(b). Find m, given that r(m) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 17*c - 20448. Suppose -32*a + c = -26*a. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-64)\/(-8)*3\/(-6). Let v(u) = -u**2 - 8*u + 5. Let t be v(a). Suppose 0 = -2*l - m - m + 4, t = 3*l - 2*m. Is l a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 6. Let i = 0.2 - 0.1. Which is the closest to 0.1? (a) 4 (b) i (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10762371*t + 43476801?\nAnswer: 10762371","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) - 2*sqrt(160))\/(sqrt(256)\/sqrt(2)).\nAnswer: -3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3*c - 3 + c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 24*a + 12*a + 6*a - 9*a. Let u(y) = -y. What is r(u(b))?\nAnswer: -33*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + 5. Which is greater: p or 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 5*y**2 - 5. Let d(m) = -m**3 - m**2 + 1. Determine -3*b(n) - 15*d(n).\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1088513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 0 - (1 + -10 - (103 + -115))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b. Suppose 10 = -4*t + 106. Let o be 54\/t*(-4)\/(-3). Let n(m) = -4*m**2 - 3. Let q(v) = -v**2 - 1. Let k(w) = o*q(w) - n(w). Give u(k(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.025635 rounded to 4 decimal places?\nAnswer: -0.0256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**5\/7 - 58550*y**4\/7 - 66890*y**3 + 1229230*y**2\/7 + 468232*y\/7 - 167240 = 0?\nAnswer: -29267, -10, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, e: 12}. What is prob of picking 1 s and 2 e?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - u + 78 = 73, 5*u + 21 = -2*x. Put x, 25, 5 in ascending order.\nAnswer: x, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 1545c?\nAnswer: -15460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*g - 41466 = 1371*g - 59*g + 5328 for g.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**3 + 2*u**3 - 2*u**5 + 5*u**5 + u**5 - 3*u**5 + (4 + 22 - 8)*(-4*u**3 + u**3 + 4*u**3)*(-2*u**2 - u**2 - 2*u**2).\nAnswer: -89*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010345 rounded to four dps?\nAnswer: 0.0103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14443 + -5933. Does 115 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*i - 6*x, -3*i + 3*x = 0. Suppose i = -4*b - a - 1 + 12, -2*a = -3*b + 11. Suppose -4*v + 72 = -4*o + o, 5*v - 90 = -b*o. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18269.9 centuries in decades?\nAnswer: 182699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 571.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0045 and -8.\nAnswer: -7.9955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 1. Let k be -12*(315\/12)\/(-5). Let l be (-7)\/k + 2\/(-9). Which is greater: c or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1546377*h - 25207 = -1546654*h for h.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 799 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -24.1 and -2.\nAnswer: -26.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 55*n - 60*n, k = 2*n. Solve -4*z - z + j = -24, -4*z - 2*j + 8 = n for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108535839439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooowowooooroo. What is prob of picking 1 r and 3 o?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/(4\/(-30))*(27 - (-4558 - -7)).\nAnswer: 3, 5, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 207\/54 - (-4)\/24. Let r = -4 + 8. Differentiate 30*z**r - 10*z**4 + v - 12 - 14*z**4 wrt z.\nAnswer: 24*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-7) - (-6)\/(-4). Let q = j - -3\/7. Let w = 20763 + -62290\/3. Which is the closest to w? (a) 1\/4 (b) -0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6*u + 35. Let o(r) = 14*r - 2. Calculate i(z) + 5*o(z).\nAnswer: 76*z + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 51608991, 51608989, 51608987, 51608985, 51608983, 51608981?\n\"Answer: -2*x + 51608993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 9) + 1*4\/(-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -95, -806, -2731, -6476, -12647, -21850, -34691?\n\"Answer: -101*p**3 - p**2 - p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 902 = -77*p for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 2*sqrt(68)*2)*1 - (3*((sqrt(68) - (sqrt(68) + 1))*-1 - sqrt(68)) + -5))**2*-4.\nAnswer: -13524 - 784*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001553 rounded to 5 dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 26?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-6*(-5 + -2 + sqrt(300) + 2 + sqrt(300) + sqrt(300) + (-1 + sqrt(300) - sqrt(300))*-3)*5)**2.\nAnswer: -108000*sqrt(3) + 2433600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + ac3a0?\nAnswer: ac39a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -61*k - 2*k**2 + 2 + 61*k. Let g(b) be the second derivative of b**4\/12 + b. Give g(m(p)).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + -32 + (1 - 0). Suppose 0 = 4*v + s + 3*s + 320, s = -1. Let d = 48 + v. Is d <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o + 17. Let v(q) = 4*q - 42. Let y be v(13). Let f be r(y). What is the greatest common factor of f and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -61*k**3 - k**2 - 2*k + 2. Let n be u(1). Let g = -432\/7 - n. Let d = 1.8 + -2. Which is the closest to d? (a) -1 (b) g (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.21797 to two decimal places.\nAnswer: -2.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1287 - 648 - 646 - 1828*q**2.\nAnswer: -1828*q**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -6*c. Let p(i) be the third derivative of 0 + 0*i**3 + 7*i**2 - 1\/24*i**4 + 0*i. Give q(p(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**3 + 5*l**2 - 8*l - 17. List the prime factors of b(-7).\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 y, and 1 u when three letters picked without replacement from {c: 1, u: 3, y: 1, i: 2, a: 1, s: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78705912?\nAnswer: 2, 3, 83, 39511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24541 or -0.1?\nAnswer: -24541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 61771.86 less than 0.3?\nAnswer: -61771.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - y + 4132 = 0, y = 2*y - 7. Calculate the greatest common factor of 1000 and b.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.02 - 21.24. Let z = 31.37 - 0.37. Let t = z + d. What is t rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/29235654 and 13\/80010.\nAnswer: 146178270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -354562, -354540, -354518, -354496, -354474, -354452?\nAnswer: -354430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 79338.4?\nAnswer: -79338.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2*h, 38 - 13 = 3*t + 2*h. Let j be 1\/2 + t\/10. Solve 3*k + j = 2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -149*n*o**2 - n*o*x - 1051*n*o - 3*n*x + n - 10247*o**2*x + o*x wrt o?\nAnswer: -298*n - 20494*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(196) - sqrt(196)) + sqrt(196))\/sqrt(4))\/(sqrt(112)*1).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/3 - 1373*w\/3 - 811274\/3.\nAnswer: (w - 1819)*(w + 446)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 226044 and 329589?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -11*w + 5. Let j(h) = -12*h + 6. Let p(q) = -5*j(q) + 6*x(q). Let t = -128 + 125. List the prime factors of p(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*v - 10 = 0, 0 = 128*z - 133*z - 2*v - 3. Suppose 0 = 6*s - s + 30. Let w = s + 10. What is the remainder when w is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-1 + 5) - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61.008 - 0.008. Let q = 69 - d. What is the closest to q in 0.4, 1\/7, 2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 - 121110201?\nAnswer: -121111002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 239 + -49. List the prime factors of t.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**9\/(f**(-3)*f)*f**4\/f*f\/(f\/((f*f*f**(-1\/6))\/f)) assuming f is positive.\nAnswer: f**(89\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48888 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16135276, 16135277, 16135278, 16135279?\nAnswer: 16135280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297817814?\nAnswer: 2, 7, 67, 317503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - 2*c - 6, 1398*g - 3*c = 1397*g - 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -368 - -368. Let k be -4 - ((-1664)\/24)\/16. Factor d*x - k*x**5 - 1\/3*x**2 + 1\/3*x**3 + 1\/3*x**4 + 0.\nAnswer: -x**2*(x - 1)**2*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 3*y + 62. Calculate the remainder when 17 is divided by m(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -439692*k**2. Let n(p) = 3*p**2. What is z(n(i))?\nAnswer: -3957228*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -15. What is the second derivative of -7*p - 14*p**5 - m*p + 25*p**5 - 28*p**5 wrt p?\nAnswer: -340*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -7. Suppose -5*o + 2*g + 156 + 198 = 0, 4*g - 372 = -5*o. Suppose 4*h - n*b = o, h + b = 6 + 3. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -168, -0.5, 1, 0.05, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -9*p - 120. Let v be u(-13). Let j(s) be the second derivative of -43*s**3\/6 - 2*s**2 - 2*s. What are the prime factors of j(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from lll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -57, -108, -159, -210, -261, -312?\n\"Answer: -51*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 15. Let o = 8 - 5. Let v = -1 - o. What is the closest to 2\/7 in c, v, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 437166 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 + -70. Let u = -14 - b. Solve -4*v = 5*x + u, -v = x - 2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**3 + 134*c**2 - 134*c + 135. Let u be n(-68). Let q = 11808340\/1053 - 11214. Is u > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -167, -173, -189, -221, -275, -357, -473?\nAnswer: -629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -3 - 3\/(-3). Let w = z - -6. Suppose w*k = 5*t + 60, 2*k + 2*t + 15 = 3*k. What is the smallest common multiple of 5 and k?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-5) - (25 + -25) - 0.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -677549.6111 to the nearest 10000.\nAnswer: -680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 11:41 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 3 (c) -34.25 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*a - 4698, 0*c - 2*a = -2*c + 4690. What are the prime factors of c?\nAnswer: 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24584 + -843. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 513 and 33459?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1981.78903664 and -655.\nAnswer: 1326.78903664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5072\/6 + -2 + 8\/12. Suppose t = 5*j - 4*q, 0 = 2*j - 12*q + 8*q - 328. What is the remainder when j is divided by 59?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + 11. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 + 5 + (-11 - -15) + 9\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -8, 24 in increasing order.\nAnswer: -20, -8, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.18 and 28096.\nAnswer: 5057.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*u - 420 = 0, 2*u = -4*a - 0*u + 336. Let t = a + -81. Suppose 3*j + 4 = 7*j. Calculate the highest common divisor of t and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 5c5?\nAnswer: 5c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phxphxppphhpp. Give prob of picking 1 p and 2 x.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -155*z - 39 + 163*z + 15*z to p*z + l and give p.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -14. Suppose k*v + 17 = -23. Let q(w) = -w - 2. List the prime factors of q(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 10*x - 630. What is the smallest common multiple of 1965 and p(66)?\nAnswer: 3930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1188 - 4597*k - 1177 + 2365 in the form d*k + u and give d.\nAnswer: -4597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 168 - 162. What is the third derivative of -b**4 + b**4 + 16*b**x + 29*b**2 + 12*b**2 wrt b?\nAnswer: 1920*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1896977.\nAnswer: 29, 65413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9550869 is divided by 454803?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -1, -150 in increasing order.\nAnswer: -150, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 136978?\nAnswer: -136977.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (-8)\/(-4) - 1. Put -3\/4, -4, i in decreasing order.\nAnswer: i, -3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 25, 1.5, -0.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i**2 + 3*i. Let z(g) = -g**2 + g. Let q(a) = t(a) - 5*z(a). Let u be q(3). Suppose -u*m - 2*m = -265. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183241700 divided by -20?\nAnswer: -9162085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -45. Suppose -r + i = 2*p + r, 2*r = 5*p - 105. Factor -12 + 103*c - p - 49*c - 10*c**2 + 11.\nAnswer: -2*(c - 5)*(5*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 7*x + 9. Let u(r) = 16*r + 18. Let s(v) = -7*a(v) + 3*u(v). Suppose -24 = 2*g - 2. Give s(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 481*b + 11394. Give d(25).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 245318434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, p: 1, m: 5}. Give prob of sequence mpi.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - h = 2*u + 25, -4*h - 10 = 2*u. Which is the second biggest value? (a) 3\/2 (b) -3\/2 (c) -1\/27 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 10:21 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (-156)\/(-273) - 11609\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 66\/7 in -2\/3, 1\/5, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5951*p**3*q**3 - 11*p**3*q - 275151*p**3 - 12494*q**2 wrt q?\nAnswer: -35706*p**3*q - 24988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -11406, 794 in ascending order.\nAnswer: -11406, -5, 794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, 0.05, -4 in increasing order.\nAnswer: -4, 0.05, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxznzznzzzzzzz. What is prob of picking 1 n and 2 x?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 t, and 2 c when four letters picked without replacement from {c: 2, a: 2, t: 1, o: 2, h: 1, z: 1}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2. Let j(p) = -32*p. Calculate j(v(w)).\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77683648.\nAnswer: 2, 7, 59, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -301 - -199. Let j = v + 102. Which is smaller: j or -1\/309?\nAnswer: -1\/309","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in sixty-seven quarters of a kilometer?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1778883 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**3 + 67*s**2 - 36*s + 23. Give h(-34).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 850574.6 litres to millilitres.\nAnswer: 850574600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 + 15095*p**2 + 11400495*p + 11385405.\nAnswer: 5*(p + 1)*(p + 1509)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -155 + 341. Let n be (-4)\/(-10) + t\/(-15). Let j = n + 131\/11. Which is bigger: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 + -1112110?\nAnswer: -1112010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**3 - 6. Let y be ((-2)\/(4\/(-1)))\/((-7)\/(-14)). Let s(j) = j**3 - j - 1. Give y*i(h) - 6*s(h).\nAnswer: -2*h**3 + 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6283 - 6281. Solve v*d + 7*i = 12*i + 19, -2*i + 2 = 4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 4*d + 4, p + 4*d - 16 = 4*p. Let m = 0.1 + -0.1. Which is the second biggest value? (a) m (b) p (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -r**6\/45 - 7*r**5\/30 - 7*r**4\/9 - 8*r**3\/9 + 5*r + 10. Factor i(b).\nAnswer: -2*b*(b + 1)*(b + 2)*(b + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 - t.\nAnswer: -t*(4*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1637.\nAnswer: 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 0 + 6 - 0. Suppose -g*l - 5*a - 21 = 4, 3*l + 4*a = -23. Sort 0, 19, l.\nAnswer: l, 0, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-18)\/(-8) + (-46)\/(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t + 294*t**2 + 3*t**3 - 285*t**2 - 2*t + 2 to the form g*t**3 + j + w*t**2 + i*t and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventeen quarters of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -874*t**3 + 821*t.\nAnswer: -5244*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 279599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 - 8286954*d**2 - 5722767401883*d + 45782669581656.\nAnswer: -3*(d - 8)*(d + 1381163)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2 - 287*l + 1950. What is g(91)?\nAnswer: 676","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*h = -38*h - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65 (base 14) to base 15.\nAnswer: 5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = -t + 2*v + 17, -14 = -t - 4*v. Suppose m = -4*r - 31, m + t*m = -3*r - 102. Let s = m - -139\/4. What is the third smallest value in s, -3, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 3\/5*d**2 + 3\/5*d = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29946700 - 1.\nAnswer: -29946701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3311 + -201?\nAnswer: -10112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/5936238 and -31\/2544102.\nAnswer: 17808714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 4 - (41 - (15 - (-11 + 16)))) + -4?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.09 + 18.05. Let g = 0.86 + l. Let r = g + -35.00091. Round r to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*d + 3*d - 7*d)*(d**3 - 2*d**3 + 2*d**3) in the form a*d**2 + r + t*d**3 + j*d**4 + n*d and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/184803 and 16\/3?\nAnswer: 184803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1015.\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -307.32 - -307.26. What is the closest to p in 8, -5, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 208 by 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(-2\/9)))**(23\/5)\/(((u**(4\/5)\/u)\/u)\/(u**(1\/7)*u)) assuming u is positive.\nAnswer: u**(212\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1363, -4881, -10747, -18961, -29523, -42433, -57691?\nAnswer: -75297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2. Let s(a) be the third derivative of -67*a**5\/15 - a**2 - 18*a. What is s(p(q))?\nAnswer: -1072*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(9\/(9\/(-4)))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1450439 to the nearest 10000.\nAnswer: -1450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m**3*n + 84769*m**3 - 1529043*n with respect to m.\nAnswer: -6*m**2*n + 254307*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -34. Let k = -27 + 41. Suppose k*v = 18*v - 12. What is the remainder when w is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 13*g - 24*g + 10*g. Let w(d) = -d**3 - 2*d + 1. Calculate -2*u(r) + w(r).\nAnswer: -r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 17*f - 16. Let n(b) = 20*b - 19. Give 3*n(h) - 2*w(h).\nAnswer: 26*h - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -36*(-100)\/64*4. What is the greatest common divisor of 315 and j?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30606793 - 30576913.781. Let y = 29857 - w. Let l = 0.319 + y. What is l rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -40 in increasing order.\nAnswer: -40, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 36 = 4*g, 0*h - g = -5*h + 25. Suppose 1182 = h*y - 1994. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -135340235 (base 7) to base 6.\nAnswer: -514224452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s. Let u(w) = 37*w - 4*w - 9*w. Determine a(u(n)).\nAnswer: -72*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -40? (a) 1\/115 (b) 6 (c) 429 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 21 + 65 + -24\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1176267, 1176264, 1176251, 1176222, 1176171, 1176092?\nAnswer: 1175979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 292526457127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/76768557 and -53\/332663747.\nAnswer: 997991241","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -785 times 5\nAnswer: -3925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 392169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z**(-3\/4)*z)*z*z**(3\/11)*z*z\/z**(-7)*z*z**1*((z\/((z*z**(-7))\/z))\/z**(-12))**(2\/29) assuming z is positive.\nAnswer: z**(17101\/1276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -29.7. Let f = v + 3. Which is the second biggest value? (a) -6 (b) -4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16140.\nAnswer: 2, 3, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 157641063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.2 - -18.6. Let g = m + -15.3. Which is the third biggest value? (a) -0.5 (b) -11\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94877 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 140\/3 in -4, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 252 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l + 12*l - 24*l + 3*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12547, 2, -1, 4, -4 in descending order.\nAnswer: 4, 2, -1, -4, -12547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -92, -354, -788, -1394, -2172?\n\"Answer: -86*f**2 - 4*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 556 = 3*h, -178 = -5*h - n + 734. What is the greatest common divisor of 26 and h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3463 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 67 + -34 + -42 + 0\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16010972?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -3*y + 15, 12*y + 4*r - 2 - 10 = 16*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -3*c**4 - 2043*c**3 - 4074*c**2 = 0.\nAnswer: -679, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 792537?\nAnswer: 6340296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29742100*k**4 - 35919788*k**2.\nAnswer: 713810400*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 8*c = 990. Let f = c + 344. Let m = f - 93. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a decade in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -28 + 30 + 6 + -7. Let b be ((4 - 2) + -4)*-2. Sort -5, b, p, -8 in descending order.\nAnswer: b, p, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*(15\/6 + -2). Let v = m - -8. Suppose v*x - 68 = 4*x. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p = -27*p - 104 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -101 - -15. Let b = -65.3 - -6.3. Let h = b - -58.9. Which is greater: t or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 177 and 590.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, b: 3, m: 4}. What is prob of picking 3 m?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 308196576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -145, -5, -8, 7 in ascending order.\nAnswer: -145, -8, -5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -11*l**2 - l**2 - 3*l**2. Let w(o) be the third derivative of -17*o**5\/60 + 5363*o**2. Give w(y(a)).\nAnswer: -3825*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 0*r + 3*d + 354, 3*d = -4*r + 267. Suppose 0 = 3*q - 0*q - r. Let u = q + 6. Calculate the remainder when 85 is divided by u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -24*m**2 - m. Let x(z) be the first derivative of -15*z**2\/2 + 1736. Calculate x(h(n)).\nAnswer: 360*n**2 + 15*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 7*f**2 - 3*f - 3. Let x be s(-4). Suppose -5*q + 3*d - 5*d = x, 0 = -3*q + d - 43. Which is bigger: -12 or q?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 2:13 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 10:02 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 8*r + 8*r)*(r + 0*r + r + (-3*r - r + 3*r)*(2 + 1 - 5))*(-r - 1 + 1) - 4*r**3 - 4*r**3 - r**3.\nAnswer: -13*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**5 + 152*a**4 - 1376*a**3 + 1768*a**2 + 3300*a = 0. What is a?\nAnswer: -1, 0, 3, 11, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 400646723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8024, -31902, -71638, -127238, -198708, -286054?\nAnswer: -389282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175, -582, -1259, -2206, -3423, -4910?\nAnswer: -6667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 10*q. Let c(d) be the first derivative of -2*d**3\/3 + 22*d + 324. What is c(v(h))?\nAnswer: -200*h**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -1745*z**3 + 1158*z**2 - 3*z + 6. Let w(g) = -3491*g**3 + 2311*g**2 - 5*g + 10. Let s(v) = -5*o(v) + 3*w(v). Find the third derivative of s(p) wrt p.\nAnswer: -10488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 - 4)*(-2*v - v + 0*v) + v - 3*v + 4*v)*(-4*v + v + 2*v) - 5362*v + 5362*v + 318*v**2.\nAnswer: 310*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 9 + 3*w - 16*w - 7*w + 13. Let v(c) = -7*c + 7. Let y(j) = -6*d(j) + 17*v(j). Calculate y(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8858?\nAnswer: 2, 43, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 482 a factor of 180487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3094 - 3096. Let l = 18\/11 - 115\/77. Which is the nearest to 2? (a) 5\/4 (b) o (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u**3 - 1 - 12*u**3 + 13*u**3)*(u**2 + 0*u**2 - 2*u**2).\nAnswer: 6*u**5 + u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 6:35 PM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 332413, 332704, 333185, 333862, 334741, 335828, 337129?\n\"Answer: l**3 + 89*l**2 + 17*l + 332306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(350) - sqrt(350)*-1)*4)\/(sqrt(14)\/(3*sqrt(2)*3)).\nAnswer: 360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 7:11 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -3*q**4\/14 + 26*q**3\/21 - 16*q**2\/7 + 8*q\/7 - 1345. Factor n(s).\nAnswer: -2*(s - 2)**2*(3*s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*v + 2, -v - 5*r = -2*r + 1. Let s(m) = -10*m - 1. Let l be s(v). Solve -4*n + 15 = -5*h, -3 = -2*h + n - l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -7 - 6 + 28*r + 4 - 6. Is i(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 101. Let h = -80 - f. Suppose 12*s - 4*s - 264 = 0. Calculate the lowest common multiple of s and h.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 10 + 6 = 0. Let d = t + 8. Let k be 2\/(-3)*(1 - d). Put 5, -3\/5, k in ascending order.\nAnswer: k, -3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -34*n**2. Let l be ((-30)\/25)\/(4\/(-10)). Suppose 0 = 6*q - 9*q + 9, t + 5*q = 18. Let z(u) = l*u - 4*u - 4*u + t*u. Calculate z(w(y)).\nAnswer: 68*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*l - 13*l - u + 7, 0 = -5*l + 5*u + 10. Solve -15 = l*r - 8*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1627*b - 1174 wrt b?\nAnswer: 1627","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 18 = -3*n, n + 3*n - 38 = -5*o. Let w = -19 - -17. Let r be (-12)\/(-24) + (-9)\/w. Solve -4*s - 14 = o, s + r = 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -14.09. Which is the third biggest value? (a) -1\/2 (b) 1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 646288 is divided by 29368?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 50, -3 in ascending order.\nAnswer: -25, -3, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -t - 5*g, 0 = 3*t - 4*g - 1 - 157. What is the highest common factor of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 975.13118?\nAnswer: -973.13118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 3\/2)\/((-45)\/(-90)). Suppose -4*m = -10*m + 6. Solve b = -l + m, -5*l - a = -4*b + 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -6680.\nAnswer: -2004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.344463 litres in millilitres?\nAnswer: 344.463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p - 28. Let v(u) = -12*u**2 - 91*u - 56. Let g be v(-7). Calculate k(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 5*c**2 + 7*c + 32. Let h be b(-5). Let l be 2 - (h + 0\/(2\/(-2))). Solve -3*k + 1 = -l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(-674)\/(-10) + 4\/(-10). Let i = 130 - 70. Let f = o + i. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9545*g**4 + 415983.\nAnswer: -38180*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2839166 and 159588?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -16*q + 9*q. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 186\/(-24) - (-3)\/(-12). Are j and -7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87606.81ml to litres.\nAnswer: 87.60681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = y + h - 8, -h = -y. Let u be -7 + 9 + -1*y. Suppose u = 23*r - 27*r + 140. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, -2, 0.09, -3 in decreasing order.\nAnswer: 0.09, -5\/3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 - 2*r**2 - 2*r**2)*(-13*r + 3*r - 6*r).\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 z when two letters picked without replacement from {v: 4, z: 1, g: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8b76c0 (base 15) to base 10.\nAnswer: 6657030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -t**5\/40 + 49*t**4\/16 + 51*t**3\/2 + 155*t**2\/2 + 104*t + 2214. Let r(y) = 0. What is y?\nAnswer: -2, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(24 + (-1160)\/60)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q = 12*q + 3, -2*y + 2 = -2*q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**2. Let w(s) = -s**2 + 29*s - 154. Let y be w(7). Let h(o) be the first derivative of 5\/3*o**3 + 0*o - 6 + y*o**2. Give i(h(l)).\nAnswer: -75*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 7*w. Let d be -5*(-3 + -2) + w. Let b = d - -121. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 0.071 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 55936.098 nanoseconds?\nAnswer: 0.000000015537805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 137*j**3 + 351*j**2.\nAnswer: 822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 7*f + 10. Suppose -7 = -4*t + 9. Suppose -2*u - c = 16, -9*c + 10 = -5*u - t*c. Let m be i(u). Solve -m*l = l + 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 541962.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -16*m + 54. Solve 11 = m*k - 10*k + 2*y, 5*k + 5*y - 5 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10 - (-54)\/4)*((2 - 3) + 5). Solve 4*g + 2*f + k = 0, -g - 34*f + 33*f = 2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1763, -5987, -13027, -22883?\n\"Answer: -1408*d**2 - 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3, -18.1, -6 in ascending order.\nAnswer: -18.1, -6, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - 10. Let d = m + 73. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-32)*-9*20\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 185.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -576a72?\nAnswer: -576a77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*n - 221*n = -9548 for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3892*a + 236 + a**2 + 4000*a - 8840*a + 15*a**2.\nAnswer: 4*(a - 59)*(4*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2237*d - 384 = 2236*d, -5*d = -z + 117. Let a(c) = c**2 + c + 4. What is the least common multiple of z and a(0)?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(-2\/17))**42)**(-40))**41)**(2\/41) assuming j is positive.\nAnswer: j**(6720\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -p**3\/3 - 3*p**2\/2 + 13*p + 1247. Calculate l(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 9*m**2 + 9*m + 8. What is o(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 81080*a - 243228. What is q(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40\/11 + 2382\/649. What is the smallest value in m, -0.3, -2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4, 36, 90, 166, 264?\n\"Answer: 11*m**2 - m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 378 divided by 18.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -418185036*-0.1\nAnswer: 41818503.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.23 greater than 29636?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zztttuthhhzt. Give prob of sequence tz.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4204?\nAnswer: 2, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*c - 37*c = 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5))**(-32) assuming x is positive.\nAnswer: x**160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-12)*2*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, p: 3, r: 2, i: 1, q: 2, t: 9}. Give prob of picking 2 r and 2 t.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - -9. Calculate the highest common divisor of 11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 3*c**2 + 2*c - 1. Let z = 13 - 15. Let a be g(z). Calculate the highest common factor of 15 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 p, and 1 v when three letters picked without replacement from nvpaovvvvvpwv.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -432 + 0?\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1630 + -8106\/5. Let r = 1442\/165 - h. Let p(y) = y**3 + y**2 - y + 1. Let b be p(-2). Which is greater: r or b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 5 + -7 + 4 + 0 + -4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*m - 4. Let t be 1\/4*m*-2. Find the second derivative of -4*q + 8*q - 2*q**3 + t*q**3 wrt q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nd when two letters picked without replacement from yyenyemnemdsn?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -35*t**2. Let n(u) = -103*u. Determine k(n(s)).\nAnswer: -371315*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33077427?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 125 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 291, 581, 869, 1155, 1439?\nAnswer: 1721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6168347*q**4 - q**2 + 434878*q + 4 wrt q?\nAnswer: 148040328*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4291.9 hours?\nAnswer: 257514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k**4\/k))\/k)\/k)**(-2\/43)*(k\/(k*k\/(k\/(k**(-2\/11)*k))))**9)**(-1\/5) assuming k is positive.\nAnswer: k**(679\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 20115.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 9 = -i, 0 = 2*d + 15*i - 20*i + 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5126 - 5121. Solve -k*a - 31 = 3*u, -9*u + 5*u + 5*a + 17 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, t: 4, n: 5, d: 6}. Give prob of sequence htd.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -1054.\nAnswer: -2\/527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-4) - (-28047)\/(-12). Let f be i\/(-9) - (-4)\/(-6). Let m = 518 - f. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2504 divided by -626.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**3 - 2*n**2 + 21*n - 2. Let v(u) = -13*u**3 + 9*u**2 - 83*u + 8. Determine 2*v(k) + 9*x(k).\nAnswer: k**3 + 23*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4\/9, 3.3, 0, 5, -52?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9440446 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -104*s + 65. Is t(-33) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 168332712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - (14 + 17 + 13)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 9942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -631, -1292, -1953, -2614, -3275?\n\"Answer: -661*g + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d - 14. Let s(p) = -p + 15. Let r(m) = 6*i(m) + 5*s(m). Let x be r(11). Solve -x = -3*n - 11 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 2*l - 21, -h - 2*l = 2*h - 63. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 411 - 415. Let d = 173 - 52. Let z be (-22)\/d - 420\/(-11). Sort z, p, -2.\nAnswer: p, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (0 - -18 - (-14 + 29))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 1:26 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4913586 is divided by 1056?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5084184 is divided by 2792?\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s**2 + 16*s - 10. Calculate j(6).\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 124*j + 8 + 1 - 9 in the form s + r*j and give r.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6730)\/(-22) - (-18)\/198 is divided by 77?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0 + 3 = y, -3*f = 5*y + 31. Let l be (-2 + 20\/(-30))\/((-2)\/(-12)). Let v = l + y. Is v < -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5132179?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -214*x**2 - 1282*x - 16. Determine d(-6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -32*n - 327. What is p(-8)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 2 + 72. Let b(q) = 10*q - 66*q + 57*q + 42. What is the remainder when b(l) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 24 = -7*p, -1221*l = -2453*l + 1231*l + 5*p - 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 8. Let f(u) = 5*u. Let g be f(x). Suppose -6 = -i - 5*l + 9, 5*i - 55 = -g*l. Round i to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -344\/1771 + 2\/161. What is the third biggest value in 1\/2, r, 0.05?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 15*r - 12025. List the prime factors of r.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (57 + 47 - 104 - 943*d)*(5 - 743*d - 97 + 741*d) as f*d + i*d**2 + b and give f.\nAnswer: 86756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -1 - 35*j + 1 + 5 + 18*j**2 + 30*j + j**3. Let o(y) = -y**3 - 17*y**2 + 4*y - 4. Let q(h) = 5*o(h) + 4*x(h). Find the third derivative of q(z) wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 12*j - j - 27. Let a(t) be the second derivative of 19*t - 5*t**2 + 0*t**j + 7\/6*t**4 + 0. What is the first derivative of a(v) wrt v?\nAnswer: 28*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*t - 602 + 602.\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 9652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 a when three letters picked without replacement from {d: 5, p: 2, b: 2, a: 8, m: 2}.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 84271 or 0.324?\nAnswer: 84271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 173, 360, 557, 764?\nAnswer: 981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-16)\/((-4896)\/45))\/(-5))\/(2\/(-8)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(((-3)\/15)\/1). Suppose -k + z*h + 31 + 31 = 0, 2*h = -10. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-20)*(-70)\/98.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h + 10. Let w(d) = -d**3 + 85*d**2 - 86*d + 172. Let j be w(84). Let f(s) = -4*s + 5*s + 11 - 6. Determine j*q(x) - 7*f(x).\nAnswer: x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2 - 4*a - 18. Let s(l) = 5*l - 3. Let p be s(3). Does 17 divide z(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 0*u + 1\/10*u**2 - 1 + 1\/15*u**3. Factor n(s).\nAnswer: s*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2419, 3519, 5353, 7921, 11223, 15259?\n\"Answer: 367*k**2 - k + 2053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1822766789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 15*h**3 + 2*h - 1. Let c be y(1). Let k be (-42)\/36*-4 + (-2)\/(-6). Solve -g = -4*u + 7, -u + k*g + c = -0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 6*x + 2*x + 130 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 x, and 1 f when three letters picked without replacement from {f: 1, a: 1, x: 2, z: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -498\nAnswer: 11\/498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.7171554ng?\nAnswer: 0.0000000000007171554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 4*u - 55 = 2*u, 3513*u - 3522*u + 180 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 980 and 527240?\nAnswer: 527240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 731630684 + -116.\nAnswer: 731630568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 119*l**2 - 438*l + 10215. Give p(116).\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7718502 - 7718606.99947. Let h = u + 105. What is h rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 424 (base 6) to base 2\nAnswer: 10100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82252120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-11)*100\/300?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*g - 8. Suppose -4*m - b = 0, 0 = 4*m + 4*b - 14 + g. Let o be ((-15)\/(-9))\/(m\/3). Let w(q) = q**3 + 6*q**2 + 7*q + 3. Determine w(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 2101\nAnswer: 6\/2101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/6*(2002\/65)\/(-22)*1.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 479050, 479071, 479092, 479113, 479134, 479155?\nAnswer: 479176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -27 + 27 - 17*v as m*v + s and give m.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 67*q - 472. Let s be y(7). Sort 172, s, -5 in descending order.\nAnswer: 172, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4487300 divided by 89746\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -77197745*u**4 - 138*u**2 + 347486*u?\nAnswer: -1852745880*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(19\/(-2) - -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32714235\/2 or -16357117?\nAnswer: -32714235\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.1632, -3, -4, 5?\nAnswer: 0.1632","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*q**3 - 1102*q**3 - 767*q**3 + 258*q**3)*(3 + 2 - 1)*(-1 + 2 + 2).\nAnswer: -19956*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 - 18. Suppose -748 = -4*j + 5*r, 4*j + r + 374 = 6*j. Let h = j - 103. Calculate the greatest common divisor of h and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 264 and 1320.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 1103?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-3)*1\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8564 + 2*i**2 + 8564.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(-6 + 4 - 2). Suppose v = 2*w - 9, 4*w + w - 42 = -t*v. Calculate the smallest common multiple of 8 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 87\/7 + (-56)\/(-98). Let t be 7*1*(-1 + 2). Let q = s + t. Calculate the highest common divisor of q and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 1215*g. Let d(m) = -3*m. What is f(d(h))?\nAnswer: 9*h**2 - 3645*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -480007*z**3\/6 - 21*z**2\/2 + 2*z - 6. Let p be d(-3). Round p to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 29783114*y. Let p(n) = -3*n**2. Determine p(l(t)).\nAnswer: -2661101638610988*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8295 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*p = 147*p - 198 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**4 - 174*n**3 + 812*n**2 + 5550*n + 4563 = 0. Calculate n.\nAnswer: -3, -1, 9, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26176889?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 39*q**2 + 40*q - 63. Give z(-40).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*r - 2*a, -2*r = -3*a + 2. Suppose 0 = 4*g + k + k - 32, -k = g - 8. Suppose g*o - 110 = 3*o. Calculate the greatest common divisor of r and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 28. Calculate the remainder when 64 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 694010696 is divided by 401.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7080 is divided by 2359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18.5 + 24. Let s = -6 + f. Let q be (2\/(-16))\/(2\/12). Which is the nearest to 2\/7? (a) s (b) -4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43214 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5939300967 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*33*(-5)\/15. Suppose 3*p = u*p - 16. Find the third derivative of -11*q**4 + p*q - 4*q**2 - 7*q**2 - 2*q wrt q.\nAnswer: -264*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 45, 517, -5, -2 in descending order.\nAnswer: 517, 45, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 23025 and 23912 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4 - 2 = 0. Solve -4*n + q*n = -6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 101 = -4*x, 5*h - 115 - 32 = -4*x. Suppose h*n - n = 29760. List the prime factors of n.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 - (0 + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2928661 is divided by 35285?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004189941674 rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1507695 divided by 502565.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/(s\/(s\/((s\/(s\/s**(2\/21)*s))\/s))))\/(s\/s**33))**(3\/7))**(-21))**(2\/29) assuming s is positive.\nAnswer: s**(-4398\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84665, -84669, -84673, -84677, -84681?\nAnswer: -84685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001110000100110111101 - -10011?\nAnswer: -1001110000100110101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*k - 2 = 0, k = 4*r - 0 - 1. Suppose f + 6 - 1 = r. Let d be f\/10 - (1 - 2). Is d smaller than -4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*a = -39*a + 99. Let o be 160\/(-40)*a\/4. Calculate the greatest common divisor of o and 561.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 6141678616.\nAnswer: -6141678616.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 471, 19, -5, 5 in ascending order.\nAnswer: -5, 5, 19, 471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -147.1 + 146.9. Let w(s) = -s**3 + 14*s**2 + s - 15. Let y be w(14). Let d = y - -5. Which is the biggest value? (a) k (b) d (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*a - 1665 = -7155. Suppose -567 = -5*y + 3*x, -6*y + 4*y = 2*x - 230. Let m = a - y. List the prime factors of m.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + (sqrt(5) - (sqrt(5) - (sqrt(5) + 1))**2)*-4.\nAnswer: -4*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1081.4016 months to decades.\nAnswer: 9.01168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2364434140\/13181 + 179382. Let r = -66263\/2359399 + u. Calculate the common denominator of r and 41.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -144248*r**4 - r + 348 wrt r.\nAnswer: -1730976*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 0, -2 in decreasing order.\nAnswer: 5, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3855969751?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6835250 divided by -54682?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -953 (base 16) to base 13\nAnswer: -1118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11944 and 50996401.\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 4 + 6*n**3 - 8*n**3 - 12.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*t**4 - 33319130*t**3 - 2*t**2 + 7039495*t - 1 wrt t.\nAnswer: -24*t**2 - 199914780*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5250*o + 9414 = 4727*o for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 186 and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-4)*5\/(240\/56)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1316574 divided by -10449.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -8. Let o = 6 - 2. Let i be 2\/(o*(-4)\/(-8)). Calculate the greatest common factor of i and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 13 - (8 - -3 - 16)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 11*h + 11. Let f be t(-8). Suppose 5*n = 2*s + 344, 35 = 3*n + 3*s - f. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38604 + 42755.\nAnswer: 4151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-525)*10)\/((-44)\/(-14)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - d - d - 4 = 0, 0 = 2*z - 3*d - 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(13) + 0) + -1 + sqrt(1300) - sqrt(104)\/(3*sqrt(72)).\nAnswer: -1 + 107*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 333032232 (base 4) in base 11?\nAnswer: 167646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 358091*p**3 - p**2 + 2*p - 7899653.\nAnswer: 1074273*p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, -893, 4, -3, -52, -2.\nAnswer: -893, -52, -3, -2, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/52 and 57\/26.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) 25 (b) -2\/221 (c) -2\/9 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 815399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 2, -5, -12, -18 in decreasing order.\nAnswer: 3, 2, 0, -5, -12, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1142\/6 - (4\/12 - 0). Find the third derivative of -y*r**3 - 1478*r + 10 + 1478*r - 6*r**2 wrt r.\nAnswer: -1140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0015227 to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n**3 - 2*n**2 + 2*n**2 + (3*n + 0 + 0)*(2*n**2 + 0*n**2 - n**2) to the form c*n**2 + s + r*n**3 + y*n and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -6 - -4 - (-14)\/(-3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zi when two letters picked without replacement from {z: 1, c: 1, e: 1, s: 1, i: 1, j: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(25\/20)*(-2)\/312*-13.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1283587 divided by 17?\nAnswer: -1283587\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2100 = -6*h - 6*h. Let g = -172 - h. Solve -2*u - 20 = 4*f - 4*u, -g*f + 4*u = 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -846 - -848. Suppose -g*a + 922 = q - 172, 0 = -5*q + 3*a + 5509. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/8, 11, -0.5, -2, -4\/347 in increasing order.\nAnswer: -2, -9\/8, -0.5, -4\/347, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w + 103. Let q(b) be the third derivative of -b**4\/24 - b**2 - 688*b. Give q(i(h)).\nAnswer: h - 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -4*l**3 - 6*l**2 + 2*l + 4. Let x be m(-3). Is x not equal to 54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -485 - -488. Let g(h) = -h**3 + 14*h**2 + 4*h - 20. Calculate the lowest common multiple of o and g(14).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11858310 to the power of 1\/2, to the nearest integer?\nAnswer: 3444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 660*j**4 - 73*j**2 + 93251*j?\nAnswer: 7920*j**2 - 146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 0*o**2 - 3 + 0*o**2 - 3*o + 2*o**2. Let k = 10 + -15. Let r(i) = -4*i**2 + 5*i + 5. Suppose 8 = -n - 5*w, 4*n - 2*w = n - 7. What is k*m(l) + n*r(l)?\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*b = -3, 2*t - 2*b - 6 = b. Suppose -5*y + t*y + 87639992 = 0. Let g be 26\/(-91) - y\/14. Round g to the nearest 100000.\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (5 + -2 - (-7 + 10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 2*l + 3. Let u = 41 - 41. Let h be n(u). Suppose 4*t - 11 = -15. Put h, 0, t in decreasing order.\nAnswer: h, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/15)\/((-2)\/380). Suppose 0 = -h + 4*s + 4, 5*h - s - t = h. Let l be (-75)\/h - 2\/8. Which is the smallest value? (a) -0.5 (b) l (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4149 is divided by 126?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -5, 21, 904 in decreasing order.\nAnswer: 904, 21, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 49*q**5\/60 + 15*q**4\/8 + 8*q**2 - 6. Find the second derivative of m(h) wrt h.\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -34859, -34842, -34825, -34808, -34791?\n\"Answer: 17*q - 34876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 13.7. Sort 3\/5, p, 1.\nAnswer: p, 3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16027 + 4426. Let v(q) = x*q - 6*q**2 - 2*q**2 - 20453*q. Let i(s) = -19*s**2. Give v(i(f)).\nAnswer: -2888*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 4*m. Suppose m = t + t. Suppose -3*b + 6 = -t*b. What is the remainder when 2 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/4 - (-117)\/(-4). Let o = l - -29. Let g = 5 + -6. Which is the second smallest value? (a) 0.4 (b) o (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 19 = 3*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**5\/5 + 12*u**4 + 264*u**3\/5 + 356*u**2\/5 + 30*u = 0.\nAnswer: -25, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzgggyxuzgz. Give prob of picking 1 x, 1 g, and 1 u.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16632 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6*f - 3. Determine c(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 299131 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 4 = -t + 3*x, -3*t = 2*x - 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12074 by 2.\nAnswer: -6037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 148 in decreasing order.\nAnswer: 148, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 102 + -7. Suppose -2*h = 2*g - 230, b + 143 = 2*h - 2*g. Factor 232*x - h*x + 9*x**3 + 6*x**2 - 118*x.\nAnswer: 3*x*(x + 1)*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (36 + 1428 + 335 - 198 + 488)*(t**2 + 5*t**2 - 4*t**2) in the form l + v*t**2 + y*t and give v.\nAnswer: 4178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 6) to base 14\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.057559 rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.131877 <= 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -20*l + 128. Let v be p(7). Sort v, -3, 5.\nAnswer: v, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 38863283*c*m - 28381274*c wrt m?\nAnswer: 38863283*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -591 - -291. What is the units digit of g\/(-21) + 2\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(3\/8)*k**(-19)*k assuming k is positive.\nAnswer: k**(-141\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 3*a - a. Suppose -a = -0*g - 4*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57896.\nAnswer: 2, 7237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k + 39. Let r(l) = -3*l - 20. Let o(h) = -7*r(h) - 4*v(h). Give o(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -51*p + 99*p - 5 - 49*p + 18. Calculate m(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 29381 and 1235.\nAnswer: 36285535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 37278.\nAnswer: -1\/18639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 293 = 5*j - 547. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 + 136 = 8*f + 128 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**4 + 20848*r**3 - 54309036*r**2 - 108680624*r - 54350738 = 0.\nAnswer: -1, 5213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -188913*x**4 - 570*x**3 - 141371356*x**2 wrt x?\nAnswer: -4533912*x - 3420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109778 is divided by 2080.\nAnswer: 1618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -646*c - 13450. What is r(-15)?\nAnswer: -3760","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5548 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 198849471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a year in months?\nAnswer: 177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + l + 4. Let d be g(4). Let b(s) = s**3 + 8*s**2 - 8. Let p be b(d). Let u(n) = -n**2 - 9*n + 2. Is 4 a factor of u(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 e, and 1 j when three letters picked without replacement from {z: 3, e: 3, j: 7, n: 2, l: 2, k: 1}?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -2*n + 6*n. Let i(j) = 2*j + 2. Let r be i(5). Calculate the remainder when n is divided by (r\/(-14))\/((-24)\/112).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 600143?\nAnswer: 47, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 6*z + 6. Let g(c) = -1. Let m(w) = -2*w - 8. Determine z*m(d) + 6*g(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 3*r + 2. Let v be k(-2). Suppose -2*j = -v*j. Factor j + 0*n + 1\/2*n**3 + 0*n**2 - 3\/2*n**4 - 2*n**5.\nAnswer: -n**3*(n + 1)*(4*n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 2042?\nAnswer: 2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.48? (a) 50\/7 (b) -0.1 (c) -3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*u + 41*u = x - 1276, 2*u + x - 508 = 0. What is the greatest common factor of u and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7 - -8 - (1 - 3 - 0). Let o(c) = -1 - c**2 + c + 4*c**2 + 0*c**2. Let t be o(1). Solve -5*h + 2 = -t*m + 10, -w*h + 4*m = -4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -22. Let w(z) be the second derivative of -3*z - 1\/24*z**3 + 0 + 0*z**2 - 1\/48*z**g. Factor w(c).\nAnswer: -c*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h**2\/2 - 2025*h\/2 - 582 = 0. What is h?\nAnswer: -4\/7, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5*(-19 - (-303248)\/80).\nAnswer: 2, 3, 7, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 2 + (10\/8 - 3885\/3108). Let p(b) = -b - 2. Let o(u) = u + 1. Suppose 8 = -2*v + 2*a, 0 = -2*v - 0*v - 2*a + 12. Determine l*o(d) + v*p(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -5*s - 23, 2*s - 6*d = -2*s - 32 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1721623\/25164 - 7\/12582. Let q = 164\/3 + h. Do q and -15 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40*2\/((-360)\/15))\/(288\/81)?\nAnswer: -15\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 6*o**2 + 14*o + 9. Calculate b(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.8 + -6. Let f = 3 - p. Let w = f + 0.4. What is w rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 8*b + 336. Let y be t(-35). Suppose y*r = 65*r - 81. Solve -v = 3*n + 3, r*v = 4*v for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 150 - 156 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 41*f - 71. Give s(40).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -394.97 + 395. What is the nearest to -1\/4 in 1, 2\/5, -0.2, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 1 = -4*m, f + 4*f + 5 = -4*m. Let j = -58.04 - -0.04. Let h = -61 - j. Which is the third smallest value? (a) 4 (b) h (c) f (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (2 + -1 + 0 + -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -h + 4*i + 5, h + 4 = -2*i for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/9 and -35.387 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 960001 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + -11 + 25 + -2 + -10 + 2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*2\/6*9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o + 17. Let c be w(-4). Solve p - c*p = 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -37*z - 54. Is l(-5) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-15)\/6)\/(-5)*0. Let q(n) be the second derivative of c + 0*n**4 - 1\/6*n**3 - 1\/5*n**5 + 0*n**2 - 3*n. Find the second derivative of q(a) wrt a.\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -14, -4, 8, 5, -2 in descending order.\nAnswer: 8, 5, -2, -4, -10, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*a**2 - 26 - 3022*a**4 + 6*a**2 + 3018*a**4 wrt a.\nAnswer: -16*a**3 - 16*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1117*h**2 + 35*h**3 + 1099*h**2 - 5*h**3 - 2216*h**2.\nAnswer: 30*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1427 and 65475?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 + -60. Suppose 3*p = -4*z + 57, 49 = k*p - z - 23. What is the highest common divisor of 23 and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14303844 and 594?\nAnswer: 157342284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - r + 5. Determine k(6).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*u + 18 = -52*u - 5*g, 3*u = -g - 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 184 and 347502124.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmmxmmmmmmmmx. What is prob of sequence mxx?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 10 = -v. Let r(d) = d**2 + 0 + 0*d**2 + 0 - 7 + 4*d. Is r(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 6*l + 18. Solve 5*t + l = -3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a second in milliseconds?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24514430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2*(-5)\/20)\/((-3)\/(-5622)). Suppose 0*q - 5*q + f = -v, q - 185 = f. What are the prime factors of q?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -3. Let x(h) = -4*h + 148*h**3 - 2*h - 139*h**3. Let d(b) = -8*b**3 + 5*b. Determine q*x(l) - 7*d(l).\nAnswer: 2*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 e, 1 r, and 1 u when four letters picked without replacement from {e: 1, v: 1, r: 1, j: 1, u: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 313, -2, 5, -4 in decreasing order.\nAnswer: 313, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -0.5 (b) -2\/7 (c) 4\/9 (d) 534990\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -10*(8 + -5)\/6. Let u be 2 + 6 + 2 + o. Let z = 1 - 0. What is the greatest common divisor of z and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78)\/10 + 8 - (-102)\/15.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 at least -53\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + -6 + 7 - 46\/14. Let b = -37 + 50.7. Let a = b + -14. Sort a, s, 0.3 in decreasing order.\nAnswer: 0.3, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 15*q = 410. What is the least common multiple of q and 4?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, p: 1, k: 5, z: 5, b: 2}. What is prob of picking 1 p and 1 b?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71759 is divided by 457?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1110\/1267 + -81\/181. What is the closest to -5 in 0.13, n, -1\/5, 3\/10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m**(-2)*m*m)))**(-18))**8 assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 78220?\nAnswer: 1\/78220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -432 + 5311?\nAnswer: 4435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + -5. Let m(i) = 1 - 6129*i - 2 + 6128*i. Calculate m(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, b: 2, s: 1, n: 4}. What is prob of sequence bs?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 26, 1\/10, 0.5 in ascending order.\nAnswer: 1\/10, 0.5, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2. Suppose 0 = -4*u - z + 140, -z + 4*z = 12. Let s(r) = u*r**2 - 38*r**2 + 25*r**2. Give m(s(j)).\nAnswer: 882*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 - -16. Suppose -5*r = -3*r - j. Let b = -16 + r. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aakeekeaae. Give prob of picking 1 a, 1 e, and 1 k.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1479252*w**3 + 697288*w + 14?\nAnswer: 8875512*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/8 + 4 - 2. Which is the second smallest value? (a) 4 (b) g (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118613533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 21*y**2 + 10*y + 27. Is d(-22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/(-259) + 2562\/518. Let u(d) = 4*d - 9. What is u(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32716819.\nAnswer: 5011, 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(243) + -1 - sqrt(243)) + sqrt(243).\nAnswer: -2 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -21, -32, -45, -60, -77?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - -4. Let n be (-45)\/j - (1 + 0). Let k = n - 4. Is k > -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 + 146*d**2 + 5162*d - 332906.\nAnswer: -2*(d - 79)*(d - 43)*(d + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30.901 * 0.38.\nAnswer: -11.74238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - -1. Find the second derivative of -2*d**5 + 4*d + d**s - 2*d + 3*d wrt d.\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -542 - -798. Let d = -255.99999847 + x. Round d to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 20.09 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -29*t - 146. Let z(r) = -5*r**2 - 340*r - 5. Let y be z(-68). What is o(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3452 - -3470. What is the least common multiple of z and 258?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4579*l*m**2 - 786*m**2 + 3*m + 2 wrt l?\nAnswer: -4579*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**2\/7 - 60*m\/7 - 74 = 0. Calculate m.\nAnswer: -7, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 - 5*v + 2. Let y(q) = q**3 - 4*q**2 - 6*q + 3. What is -3*p(x) + 2*y(x)?\nAnswer: 2*x**3 - 2*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - a**3 + (2*a + 3*a - 4*a)*(2 + 1 - 2)*(-2*a**2 + 6*a**2 - 2*a**2).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l - 21. What is c(10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4705 is divided by 76.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 + 0*f**2 - 4*f**2 - 10*f**2 + f**2.\nAnswer: -13*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/2)\/(-9)*460\/184?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = 7*a - 3*a. Calculate the remainder when a is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 476826*k**2 - 584953*k.\nAnswer: 953652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 42048747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ivm when three letters picked without replacement from imkvt.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*w - n - 0, -3 = -2*w + n. Factor -25*g - 29 - 5*g**w - 10 + 19.\nAnswer: -5*(g + 1)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**3 + 17430677 - 17430677.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of 0 - 1\/6*s**3 + 1\/24*s**4 + 0*s - 17*s**2 + 11\/30*s**5. Calculate the least common multiple of 12 and i(1).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 10*y - 1. Let j be o(8). Is 816\/10 - (-6)\/j a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, 2, 36 in descending order.\nAnswer: 47, 36, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 41.1, 0, -3\/4, 9 in descending order.\nAnswer: 41.1, 9, 0, -1\/8, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/3*a**4 + 6*a**3 + 1 + 22\/3*a**2 + 1\/3*a**5 + 13\/3*a.\nAnswer: (a + 1)**4*(a + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 2 - (-14 + (6 - 2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/sqrt(48)*3)\/((sqrt(540) + 1*sqrt(540) + sqrt(540) - sqrt(540))\/((sqrt(48)*-1)\/sqrt(4))).\nAnswer: -sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 0 - 1*-17. Suppose -3*w - 4*k + 0 - 4 = 0, -3*k = -5*w + 3. Suppose 7*g - z = 2*g + 14, w = -2*g + 3*z + j. Solve -3*d + 3 = -g*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276 is divided by 154.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.1, -4\/11, -2, -300?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 + -15. Suppose 4*q - r = -3*g + 4, 0 = g + 1. Calculate the highest common divisor of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -81 and -3.\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18*(-1 + 0)*-1. Let w be ((-8)\/12)\/(4\/f). Suppose i + 22 = 39. Which is the biggest value? (a) i (b) w (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -197379 >= -197379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 366 = -4*n, 4*j + 8 - 180 = -2*n. Find the common denominator of 54\/17 and -3 + (134\/20)\/(36\/n).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*q - 3*b, 70 = -5*q + 4*b + 56 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3*m = 21, 0 = -4*r - 2*m + 3*m + 34. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 0.08.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 6*a - 5. Let b be u(-5). Suppose -3*x + x = b. Let k(v) be the third derivative of -v**4\/24 - 2*v**3\/3 + v**2. Give k(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, e: 1, t: 2, a: 1}. What is prob of picking 1 e and 2 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/6*z**3 - 2*z - z**2 - 4\/3 = 0. Calculate z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 16*o**3 + 3*o**2 - 3*o. Let i(x) = -15*x**3 - 2*x**2 + 2*x. Determine 3*i(c) + 2*n(c).\nAnswer: -13*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1018 divided by -2.\nAnswer: -509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*2*((sqrt(112) - (sqrt(112)*-3*2 - sqrt(112)) - (sqrt(112) + -4*(sqrt(112) + 2 - sqrt(112) - sqrt(112)) + sqrt(112) + sqrt(112))) + -2)*1)**2.\nAnswer: 768*sqrt(7) + 2368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 + 2*y - 2. Let z be j(-2). Calculate the common denominator of 111\/10 and (1\/z)\/((-2)\/42).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -611 - -613. Solve 5*q = 5*c - 35, -4*c + q + 18 = s*q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -1\/26 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 301000012 + -20?\nAnswer: 300333332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 49*z + 326852 - 326852 - 4 - 2*z + 4 + z + 1 - 1 + (-4 + 2 + 0)*(3*z - 2*z + 0*z) - 2*z + 3 - 3 + z + 4 - 4.\nAnswer: 45*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -373*d + 1685*d + 40672 for d.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154 and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i + 4*i - 2*i**3 + (-1 + 1 + i)*(-1 + 1 + i**2) + (0*i**3 - 6*i**3 + 3*i**3)*(4 + 3 - 1) - 3*i**3 - i**3 + 3*i**3.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 14840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (25 + -30 + 23)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -9. Suppose 0 = -3*q - n + 98, 0*n - n = -r*q + 140. Let h = q - 30. Solve i = 5*i - h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 47*a**3 - 3*a**2 + a + 3. List the prime factors of d(2).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 2*k = -0*i + 78, 6234*k = 6240*k + 18 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5223 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + -1)\/(25 - 5670\/224)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(4050)*-2*-3 + -3 + sqrt(4050)*-1 + 4*sqrt(4050)*1 + sqrt(4050) + sqrt(4050)*1 + 0))**2 + -4.\nAnswer: -11880*sqrt(2) + 1960232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -189 divided by -9.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 33*z**2. What is the tens digit of k(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/1*48\/32. Let a be (0 - -1)*(m\/(-3) + -1). Suppose -3*g + 47 + 46 = a. What are the prime factors of g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**2\/6 + 61*v\/2 - 288 = 0. What is v?\nAnswer: -192, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of w**4\/4 - 2*w**3\/3 - 2*w**2 + w - 3946. Calculate g(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6120148 and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315653 is divided by 26210?\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, 621, 1439, 2583, 4053, 5849, 7971?\nAnswer: 10419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116613.\nAnswer: 3, 7, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31985, 31980, 31975?\nAnswer: 31970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*q**2 + 57\/5*q + 18\/5 + 6\/5*q**3.\nAnswer: 3*(q + 1)*(q + 6)*(2*q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.13 - -0.87. Let r = -21 - x. Let j = 21.97 + r. Sort -5, -0.2, j in increasing order.\nAnswer: -5, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/37, 4, -1\/5, -4, 2\/7, 4.85, 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20263740 (base 8) in base 6?\nAnswer: -231512332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-12))\/(2\/(-8)). Let o be 5\/((-5)\/c) + 5. Let s(u) = -2*u**2 - 9*u + 13. Let i(z) = z**2 + 4*z - 6. Let j(x) = 13*i(x) + 6*s(x). Give j(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22826419 to the power of 1\/2, to the nearest integer?\nAnswer: 4778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -12 + 10 + 4 + 5 + -4. Suppose 4*p - 25 = -5*q + 96, -3*p - 53 = -2*q. Solve -2*a - q = -3*x, -5*a - n*x - 50 = -8*x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 5:31 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*z - 1134 - 63. Let m be (z - (-651)\/(-30))*(-8)\/6. Factor m - 4\/5*d**2 - 1\/5*d**3 + 3\/5*d.\nAnswer: -(d - 2)*(d + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254450737813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 5:04 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -39*o - 9. Let b(y) = -14*y - 3. Let h(f) = -11*b(f) + 4*i(f). Give h(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -6*m**3 - m - 1. Let r(n) = n**2 - 5*n + 6. Let c be r(4). Let k be (2\/(-6))\/(c\/6). Determine h(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + (0 - 1) + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 600335*c*k - 306*k - 1538 wrt c?\nAnswer: 600335*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*5\/((-20)\/4). Suppose 3*n - 2*o = 10 + 5, -p*n + o = -15. Let -11*h**n - 3*h**4 + 3*h**2 + 11*h**3 = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71209 is divided by 1295?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (-147)\/(-2) + 2\/(-4). Let m = j - 69. Let w = -1 + 3. Calculate the remainder when m is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - ((240 - 188) + (-11 - 0)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*v - 15. Suppose -3*s + 29 = 5*h - 0*s, -v = -3*h + 3*s. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -10 + 13 + (-3 - 0). Let d(m) = -3*m + 50. Let v be d(16). Solve g + v = -h*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1023706\/272 - (-1 + (-15)\/(-24)).\nAnswer: 2, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffqzttt. Give prob of sequence tz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 d, and 1 u when three letters picked without replacement from zqpzpcczdupzz.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 12 = f, 4*f - 26 = -y + 4*y. Suppose -6*o = -f*o. Is o at least as big as -4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-4\/7))\/y**(-4\/23))\/(y\/(y*y*y**23)*y\/y**(3\/23)))**(-48) assuming y is positive.\nAnswer: y**(-183408\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.42 + -1.58. Which is the closest to 0.1? (a) 3\/5 (b) f (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 - 42. Let l be (y\/(-1))\/(1\/(4 - 3)). Suppose l*b - 6 = 4*p, -p + 2 = -3*p + b. Solve -a - 4 = -p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-13)*h)\/h)\/h**4)**3 assuming h is positive.\nAnswer: h**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.79 - 0.883. Round x to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 61150 - 501?\nAnswer: 60346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -6*y - 69. What is p(-8)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -387373 = -182*h - 375725 for h.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59 and 1180.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 4. Let x be 2\/(-6) - (-122)\/6. What is the greatest common divisor of x and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39598, 39467, 39336?\nAnswer: 39205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Express 29*m + 6*m - 28740 + 28633 as x + o*m and give o.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 9*m + 15 = 10*m, -3*m = -3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 16*j. Let b(a) be the first derivative of 95*a**2\/2 - 405. Give -3*b(p) + 19*q(p).\nAnswer: 19*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*d - 3*d - d + (3 - 3 + 2*d)*(2 - 1 + 0) - d + 5*d - d - 4*d - 6*d - d.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 394 and 73114186.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1240 = 265*v + 3265 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 6:26 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 175616571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is bb98 + -42bc?\nAnswer: 78a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106 + 361 = -19*z + 87 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 1876?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 629 - 200. Let l = -384.1 + r. Round l to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.3, 0.09, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 11*g + 0*g = 0. Suppose 5*r - 3*r - 326 = g. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*w**2 + w**3 + 8 + 3*w**2 - 4 - 10*w**2 as m*w**2 + o + t*w + v*w**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.5 in 2\/15, 2\/17, -162, -1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 977813 is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w - 5*w - 840 = 0. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1545?\nAnswer: 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 251*q + 2246. Let r be s(-8). What is the highest common divisor of 21 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48 or -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 944077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/3054 and 149\/61230.\nAnswer: 31166070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 85\/(-34))\/(1\/12*-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31416 or 31398?\nAnswer: 31398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1635, 1794, 2049, 2400, 2847, 3390, 4029?\n\"Answer: 48*b**2 + 15*b + 1572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 1:01 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.5, 1\/5, 3.3, -2, -15.\nAnswer: -15, -2, 1\/5, 0.5, 3, 3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 223470*j**2 - 223035*j**2)*(-j**2 + 3*j**2 + 0*j**2).\nAnswer: 870*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**3 - 66*r**2 - 10*r + 28. What is the units digit of m(24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - 60. Let s = 120 + q. Calculate the highest common divisor of s and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i + 2*i - 4*r = 2250 - 2780, 214 = 4*i + 2*r for i.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -90\/23 (b) 5 (c) 16331 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/13)*u**(-8))\/((u\/((u\/(u\/u**5)*u)\/u*u))\/(u\/(u*u\/u**(2\/7)*u))) assuming u is positive.\nAnswer: u**(-443\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*i + 29073 = 855*i - 9735 for i.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*b + 4*b + 2*b)*(652 + 1231 - 230) in the form f*b + k and give f.\nAnswer: -1653","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 1\/5, -679, -3\/230 in decreasing order.\nAnswer: 1\/5, -3\/230, -2\/5, -679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -154*l**2 + 360058*l*y**3 + 11485*y**3 - 8*y**2 + 1007*y with respect to l.\nAnswer: -308*l + 360058*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25437 + 25466. What is the remainder when (-4 + 1)*(-2 + -239) is divided by d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6528, 52193, 176100, 417357, 815072?\nAnswer: 1408353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1590 + 4b?\nAnswer: 161b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (54\/(-8))\/(12\/288). Let b be (-1188)\/l*1\/((-1)\/(-6)). Calculate the greatest common divisor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 17 + 0*u + 0*u - 22*u**3.\nAnswer: -22*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from bbvbvbvvvvvvbvvvvvvv.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 4)*(-18 + 18 - 2*h**5 + 7*h**3).\nAnswer: -8*h**5 + 28*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, d: 12}. What is prob of picking 4 j?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5694 by 78.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 10:29 PM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -43. Suppose 25 = 3*w + 7. Let z = h - w. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 - -0.3. Let b = o - -1.2. Let h = 6 - 5. Is b > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from 2687103971.\nAnswer: 2687103970.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/sqrt(3) + sqrt(7) + 3 + -5)**2.\nAnswer: -16*sqrt(7) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13498*j + 828 = -13544*j for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 325973 - -403250. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/7, 2\/17, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 3:48 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 298610 and 110.\nAnswer: 3284710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 66, 4\/3, 22, -4, -1, 0.01 in increasing order.\nAnswer: -4, -1, 0, 0.01, 4\/3, 22, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {m: 6, s: 2, a: 9}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1160, 2322, 3484, 4646?\n\"Answer: 1162*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 113 and 10848?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {w: 2, u: 4, t: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*y + 9*y - 313*y**2 + 631*y**2 - 308*y**2 to the form c + u*y**2 + n*y and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.5 and 0.0595?\nAnswer: 3.4405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**4 + j**3 + 2*j**2 + 5*j + 3. Let u(s) = s**4 - s**3 - s**2 - s - 1. Suppose 0 = -4*y - 4. Let i(k) = y*o(k) - 3*u(k). Factor i(h).\nAnswer: -h*(h - 2)*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 417*t - 2065. What is u(5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*l - 4*l. Solve -2*i - v - l = 0, 7 = -2*i + i + 2*v for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 3*s**2 + 5*s - 1. Let y(t) = t**3 + 2*t**2 + 4*t - 1. Let x(l) = -3*p(l) + 4*y(l). Determine x(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1479)\/(-145))\/(-17)*15.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22511*k**2 - 54*k**3 - 22511*k**2.\nAnswer: -54*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -30765 at least -30769?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1.5*12132413\nAnswer: -18198619.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -z**4\/12 - 2*z**2. Let v(n) = n + 402. Let q(g) = -12*g - 804. Let h(o) = -q(o) - 2*v(o). Calculate h(t(p)).\nAnswer: -20*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9\/(405\/10) + (-6230600)\/(-450)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1017 from 27042306.\nAnswer: 27041289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -0.6, 5\/27, 3\/7, 2?\nAnswer: 5\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 * 42.4\nAnswer: 38.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/5 - 12*p**3\/5 + 42*p**2\/5 - 44*p\/5 + 3.\nAnswer: -(p - 1)**3*(p + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 473 a factor of 194876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4 = 2*j - 58, -4*j + 110 = -r. Suppose -j = 14*d - 7*d. Let k be 3\/((-9)\/d)*(-59 - -56). Which is the nearest to 1\/5? (a) -2\/17 (b) k (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330504 is divided by 166.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (124\/(-48))\/((-5)\/((-595)\/42)). Let k = w - -2249\/288. Find the common denominator of k and -97\/24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-30)*(-1380)\/(-69).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -2\/9 (c) -69 (d) -3 (e) 10 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -25*0.04\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37112, -146191, -327238, -580253, -905236?\nAnswer: -1302187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/95 and 43\/133.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*c + 4091 - 3787 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minus 0.0878?\nAnswer: 43.9122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 5:38 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 6. Let a(u) = -u**3 - 5*u**2 + 2*u + 2. Calculate the remainder when a(-6) is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 7*d - 11. Let w be k(-7). What is the units digit of ((-68)\/6*1)\/(8\/w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -190*r + 1. Let u be n(-1). Let w = u - 186. Suppose -l = -5*l + 108. Sort 1, l, w.\nAnswer: 1, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11\/5, 4, -0.5?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1079991 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1574000 to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 27 = -6*n + 4*n, -4*b = -2*n - 84. Let u be (-2)\/(-7) + 16\/(-7). Calculate the remainder when (-72)\/u*(1 + 0) is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8093 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 3*p**5\/5 - 39*p**4\/2 - 3*p**3 + 114*p**2 + 156*p - 2447. Solve m(u) = 0 for u.\nAnswer: -1, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v*v**(-2\/7)*v)\/v)**28\/(((v\/((v**4\/v)\/v))\/v*v)\/(v**4*v)) assuming v is positive.\nAnswer: v**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2 = 5*r, 3*u - 11 - 9 = 4*r. Let h = u + 6. Solve -3*q + h = -2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkzkzzkkkzkz. Give prob of picking 1 k and 1 z.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (396\/27)\/2*(1 + 656)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(2)*2 + 3)**2 - (sqrt(8) + 0)) + (3*sqrt(2)*-3)**2*-6).\nAnswer: -5730 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*l - l. Factor 5*y**4 + y**2 + 10*y**l + y**2 - 3*y**3.\nAnswer: y**2*(y + 1)*(5*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 1)*(-135*w + 128 - 128) - 4*w - 2 + 2.\nAnswer: -409*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10376428 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*x**2 + 0*x**2 + x**2 + (-2 - x**2 + 2)*(-1 + 3 - 4) + x**2 - 4*x**2 + 2*x**2.\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -266 + 254. Put -5, -4, t in increasing order.\nAnswer: t, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4040 + -51105?\nAnswer: -55145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.122? (a) 9 (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 699147 a multiple of 234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/2, 13235, -2\/3 in decreasing order.\nAnswer: 13235, 3, -1\/2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -2 + -3 + 13 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -105 + 111.3. Let h = z - 6. Let b be (1 - 1\/(-3)) + -1. What is the closest to -1 in 0.5, b, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*v + 3*t = 1309, 5*t = 3*v - 1018. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.088 + -0.012. Which is the nearest to r? (a) 2\/19 (b) -4 (c) 0.3 (d) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*z - 6 = 0. Let n(o) = 2*o + 8. Let v be n(-3). Suppose 2*m = -z*u + 50, 35 = u - v*m + 5*m. Does 5 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -0.4, -1, -0.2 in increasing order.\nAnswer: -1, -0.4, -0.2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g - 16. Determine c(-17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28182?\nAnswer: 2, 3, 7, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilometer in millimeters?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 154\/347857 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, -1\/8, 2, -34, 3\/7?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*t = -11, -2*t - t = 3*l - 15. Calculate the smallest common multiple of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 + 417402*j + 241839741.\nAnswer: -3*(j - 139711)*(j + 577)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -1, -3, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3213 by 51.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-33 - -40) - (1 - -53)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1187409 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2556\/(-1491))\/((-4)\/14). Sort 5, r, 1, 4 in descending order.\nAnswer: r, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8496*n + 1067*n + 16112*n in the form l*n + t and give l.\nAnswer: 25675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 210*p**2 - 295*p wrt p.\nAnswer: 420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4976990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 213480331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-1)\/(1\/(-7)) - (-35850)\/4050?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1335211 (base 6) to base 15\nAnswer: -17371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1035011, 4140043, 9315097, 16560173, 25875271, 37260391?\n\"Answer: 1035011*s**2 - s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-3 - (8 - 3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -270 + 267 + (339\/(-37))\/(-3)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-274680)\/(-5450) + (-3 - 45)\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -222 plus -1606?\nAnswer: -1828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 2) + (6 - 6) + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 289*t + 2593 = 290*t, -2*h + 1030 = 4*t. Solve -h*m + 31 = -524*m + 4*i, -2*m - 22 = -4*i for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 282408 and 328?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 1)*(-t + t + 2*t**3) + 2*t**3 + t**3 - t**3 + 359*t - 565*t**3 - 359*t)*(-3*t + t + t + (1 - 4 + 4)*(2*t - 4 + 4)).\nAnswer: -567*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 1831*q - 31129. Calculate c(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7708.35km?\nAnswer: 7708350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 111101010 (base 2) to base 15\nAnswer: 22a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 107\/3, 0.4, -324509.\nAnswer: -324509, 0.4, 107\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -c**4\/12 - 4*c**3\/3 - 3*c**2\/2 + 17*c. What is l(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -359*t + 36871. Give z(102).\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15205.8ng to kilograms.\nAnswer: 0.0000000152058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 8*f + 104. Suppose -49 = -s - 2*o, s - f = -o - 0*o. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-24))\/((-14)\/210).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-28)\/(532\/38))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.702 in -0.2, 0, -1, 2.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -152*k + 3713*k - 1521*k to p + g*k and give g.\nAnswer: 2040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21\/2 + -10. Let f = 19 + -14. What is the closest to n in -1\/6, f, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of j*r**2 + 1650*j*r*u + 10*j*u - 6*r**2*u - 3619*r**2 - 4*r - 3 wrt u.\nAnswer: 1650*j*r + 10*j - 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 0. Suppose 0*j + f*o + 24 = 2*j, 5*o - 45 = -5*j. Let a = j + -5. Let s(c) = -c**3 + 6*c**2 - 4*c - 2. Determine s(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11689972 is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40434 and 273369?\nAnswer: 12574974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -52*b - 119 + 639. Solve 3*o = c - 0*o, -b = -3*c - o for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -644 + 2820. What is the remainder when m is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*b + 69*b + 96 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0613471ml in litres?\nAnswer: 0.0000613471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-21) + 100\/7. Suppose -5 = 3*m - k. Let o(d) = -d**3 + 4*d**2 - d + 4. Let i be o(m). What is the greatest common factor of i and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/2)\/(4\/(-96)). Let n(b) = -2*b + 47. Let k be n(16). Let h = 15 - k. Solve 5*u - 2*u - o = h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1))**(-39)\/((a\/a**(3\/2)*a)\/(a\/a**7))*(a**(2\/5)\/a)\/(a**(-4)\/a)*a**(-1\/3)*a**(4\/3)\/a assuming a is positive.\nAnswer: a**(369\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 1.5?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-3 - -14) + -20?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34668 - 318*a**3 - 34668)*(-2 + 2 - 3*a).\nAnswer: 954*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2 - p + 11 - 2*p + 4*p. Let z be m(-6). Solve 0 = 5*i + 7 + z for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 0*k - 3*k + 21, q + 2*k = 9. Let w(f) = -f**2 - f + 15. Let i be w(0). Calculate the highest common divisor of q and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 2*f, -f = a + 13 - 19 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211 - (2 - -2 - 1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 12.31 (b) 1\/56 (c) 1 (d) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 0*z**2 - 4*z + 2*z**2)*(-29*z + 19*z + 13*z)*(-2 + 4 - 3).\nAnswer: -6*z**3 + 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3486*d**5 + 548*d?\nAnswer: 69720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 440915076?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -13360534*z**2. Let d(o) = 2*o. Give d(w(a)).\nAnswer: -26721068*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 24451.867 and 15163.31.\nAnswer: 39615.177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 38152\/11 at most as big as 3467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = k + 4*k + 3*t, -t + 29 = 2*k. Let b = -30 + 36. Solve 2*d - b = 0, -2*h - 2*h = -2*d - k for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3132 divided by 4.\nAnswer: -783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v - 3*v**3 + 4*v - 58*v.\nAnswer: -3*v**3 - 64*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6458.218 + -6491. Round y to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23 and 130.\nAnswer: 2990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 2, -3*c - 2*c - 5*r + 20 = 0. Suppose c*s = -3*x + 6, -3 = -3*s - 5*x + 6. Suppose -7*t = -s*t. Let b(j) = -j**2 + j + 16. Give b(t).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -477977900 to the nearest 1000000.\nAnswer: -478000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66.2 - -33.8. Which is smaller: 3 or i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 2*n**2 + n - 1. Let y be o(1). Let q(p) = -3 - 3*p**2 + 0*p**3 - 2*p**3 + 4*p**3 + p + y. Let i be q(2). Solve 0*t = -t - i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -7*g + 727. What is the remainder when 176 is divided by k(80)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/5)\/1*(-27780)\/463?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35.999993 + 36. Round s to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 122 = 698. Let v = -87 + b. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by -193847.\nAnswer: -32\/193847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2)*-6*1. Let n = -2 - u. Let w = -12159.5 + 12160. Which is the biggest value? (a) 2 (b) w (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 605890413 a multiple of 2699?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*i*k**3*p + 94*i*p**2 + 2*k**3*p**2 - 657*k*p**2 wrt i?\nAnswer: 9*k**3*p + 94*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 7*l**2 - 9. Suppose -5*b - 10 - 25 = 0. Calculate g(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*x + 2*x + 1 - 22*x + 9*x to the form k + q*x and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*u - 380*u - 11900 = 0 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 45 = -4*i + 7, 4 = -h. Solve -2*d = -0*k - 5*k - i, -28 = 2*k + 4*d for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27671, -3, 1 in decreasing order.\nAnswer: 1, -3, -27671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)\/(2*sqrt(4))*-1)**2*-5.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*q + m - 3*m, q + m - 7 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -47. Let c be (-8)\/16*(6 + 0). Let j be ((-1)\/c)\/(3\/i). Solve j*y = y + 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -261, -270, -291, -330, -393?\n\"Answer: -y**3 - 2*y - 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 179. Suppose -u + 0*u + 41 = -3*d, -5*u + v = -5*d. What is the greatest common factor of u and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*3\/(-9) - 21. Suppose 0 = 5*o + 70 + 85. Let v = u - o. Calculate the remainder when 21 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28656 divided by 9552.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1000062 to the nearest ten thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2. Let l(x) = -1022008*x. Give i(l(s)).\nAnswer: 2089000704128*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 2472 = 2482 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47\/3 - 16. Let v(d) = d - 32. Let g be v(17). Let u be g\/(2 - -3) - -1. Which is the closest to -0.1? (a) 2\/11 (b) n (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 0 = -4. Let r be (-40)\/(-60)*(-6)\/4. Let u = a - r. Solve 4*b - h = 0, -3*b + u*h - 17 = -3*h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1816 and 11804.\nAnswer: 23608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 947 and 36602497?\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6316 * 0.3.\nAnswer: -1894.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 5*j + 391, -q + 3*j + 177 = -238. What is q rounded to the nearest ten?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 7. Suppose 124 = v*n - 534. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**4 + 242140*m**3\/3 + 26918*m**2 - 1614304*m\/3 + 322856 = 0.\nAnswer: -3, 2\/3, 2, 40357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54.1 - -180. Let v = 126 - a. Let k be ((-1)\/(-2))\/((-2)\/4). Sort v, -5, k.\nAnswer: -5, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 - -3.4. Let w = x - 4. Let h = 9.9 - 10. What is the nearest to w in h, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*k + 32 = 0, 5*k = -3*o + k + 83. What is the remainder when 101 is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 5:36 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*j + 57 = 0, 0 = -v - 0*j - 5*j + 71. Let k = -15 + v. Is 23 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1575 = -2*j + 5*c, 0 = -4*j - 4*c - 193 - 2943. Let u = -584 - j. List the prime factors of u.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51869 is divided by 1679.\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-12) + (-68)\/8. Put 4, -1, x in decreasing order.\nAnswer: 4, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*n - 45*n + 0*n)*(2*n - 5*n + 2*n) to the form t*n + w + l*n**2 and give l.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2774*w + 23 - 2058*w - 7312*w. Is y(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4 = 12. Let v be (-1022)\/j - 8*7\/224. Let f be 625\/(2\/v*(-14)\/(-1421)). Round f to the nearest 100000.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 10*b**2 - 2*b + 14. Let w be n(10). Let t be w\/(-9)*(-3 + 12). What is the highest common divisor of t and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-1029))\/((-627)\/2926)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.054 + 40.454. Let p = -44 + u. What is p rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006669 to 5 decimal places.\nAnswer: 0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*q**5 + q**4 - 92034*q**3 - 126443*q**2 - 27*q - 1?\nAnswer: -1560*q**2 + 24*q - 552204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1538 - -122575. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2000120121111 (base 3) to base 11\nAnswer: 674122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 478 (c) -5 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.08, 0.2, -0.5, -13, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 42\/15 - (-17 - -18).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-27*d - 20*d + 2*d)*(0*d + 5*d - 4*d) + 2*d**2 - 4*d - 9*d**2 + 3*d)*(10*d + 2*d - 8*d) in the form z*d + i*d**3 + t*d**2 + g and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 242, 284, 262, 146, -94, -488, -1066?\n\"Answer: -5*m**3 - 2*m**2 + 83*m + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (1 - 2) + -4 - -4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43750 divided by -4596.\nAnswer: -21875\/2298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/3, -1047.2, 0.2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1520938, 3041804, 4562672, 6083542?\nAnswer: 7604414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - d**2 + 4*d + 1. Determine i(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 0*i**2 - 2 + 5*i**2 + 1 - i - 4*i**2. Is y(-2) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 12:11 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 + 444*i + 348880.\nAnswer: -4*(i - 356)*(i + 245)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42\/20735 and -83\/99?\nAnswer: 186615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*d + 329 = 41. Solve -5*h + 10 = -x, 2*h + 0*h - x - d = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 687792\/329567*506\/8\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 u when three letters picked without replacement from uuuuuuuuuuuuubuuuuuu?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 5 = -0*o, 15 = 5*x - 4*o for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 d, and 1 z when three letters picked without replacement from izdzbkiu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, g: 11}. Give prob of sequence gg.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 85 and -120.\nAnswer: -10200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/34745092 and -37\/36.\nAnswer: 312705828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/680 and -101\/102680?\nAnswer: 102680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 333622?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -543 - 457. Let k(h) = -h**3 - 6*h**2 + 12*h - 5. Let t be k(-12). Let g = t + m. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 15 - 3. Suppose 0 = -z*p + p + 135. Suppose -p = -6*x + 87. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18028934153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 237763.09702 - 237761. Let z = o - 2.1. Round z to four dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-134)\/(-26) - 5) + (-500)\/(-130). Solve -z*j + 32 = -5*a, a + 0*a = -3*j + 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 15. Sort f, -3, 3\/4.\nAnswer: -3, f, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18586180 to the power of 1\/2, to the nearest integer?\nAnswer: 4311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -228.341 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159, 171, 183, 195, 207?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 45*n**4\/8 + n**3\/2 - 45*n**2\/4 - 3*n\/2 - 125. Find r such that j(r) = 0.\nAnswer: -1, -1\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 23 (c) 3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -141244 + -362?\nAnswer: -141636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*(-4)\/(-804)*2\/5. Which is smaller: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 11*l + 9. Let g be q(10). Let h be -1800 - (-12 - -11 - -10). What is the hundreds digit of (h\/(-45))\/(g\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 25, 0, 1, 547, -4 in ascending order.\nAnswer: -5, -4, 0, 1, 25, 547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/123, -3, 318\/5, 3\/5, 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + 1 + 2 + -3. Suppose -3*h = 2*h - 2*n - 449, -4*h - l*n = -350. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 13599725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 19*z. Is c(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -164*p**2 - 57028*p + 15302. What is t(-348)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -248.88 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 0 - (-430 - 3\/15*5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73 + -71. Let y(i) be the first derivative of -1\/15*i**3 - 1\/5*i**x + 2 + 0*i. Suppose y(l) = 0. What is l?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*(j\/(j*j\/j**(1\/3)))\/j*j*j**6*j*j)\/(j**(1\/2)\/(j\/(j*j**(-5)*j))))**(3\/11))**(-10) assuming j is positive.\nAnswer: j**(-355\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + 38)*(2 - 1). Suppose 0 = 3*d + 3*w - z - 10, 0 = -4*w - 4. Let m = 13 - -49. What is the least common multiple of d and m?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a - 1. Suppose -3*t - 3*b = -5*b + 6, -2*b = 0. Let x(i) = -i - 1. Determine t*j(y) + 2*x(y).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 262 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 7) to base 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-5)\/(((-21)\/(-133))\/(-3)) is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -10\/23821941?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 13*i + 7. Calculate m(-11).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4*0.312\nAnswer: 1.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/12 and -4\/123.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**5 + 0*l**5 - 4*l**5 + (-l - 3*l + 3*l)*(2*l**4 - 8*l**4 - l**4).\nAnswer: 3*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (705\/(-188))\/(((-6)\/(-48))\/((-2)\/6)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1917986963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3251 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*q - 0*q - 73, 4*q - p = -137. Let l be 4 + 2 + 205\/q. Is 2 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -84*f**2 - 669*f - 14. Calculate d(-8).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3175743317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6*(-1434)\/40 - 1*(-88 + 76).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -49, 0, -16 in descending order.\nAnswer: 0, -3, -16, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 800033303*d**3 + 491259056*d wrt d?\nAnswer: 4800199818*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 85996.\nAnswer: -25798.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (127720\/(-24))\/(20\/(-24))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 85*g**4\/4 - 305*g**3\/3 - 151. What is the third derivative of t(k) wrt k?\nAnswer: 510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07552 + -0.5.\nAnswer: -0.57552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mllwmwww. Give prob of picking 2 m and 2 l.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-43)\/(2107\/28))\/(((-520)\/28)\/5)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 - 16*r + 1. Let m be 98\/(-294)*-11*3. What is the tens digit of b(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2434249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 o when two letters picked without replacement from hhhhhhhhhhhho.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a + 1. Let y be g(-4). Suppose 2*j + 3*j - 5*b = 30, -24 = -5*j - b. Let c = 246932\/3 - 82309. What is the closest to 0.1 in j, y, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 46 and 1114217.\nAnswer: 51253982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 3*g**5\/110 + g**4\/66 - g**3\/11 - g**2\/11 - 4*g. What is i in x(i) = 0?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26.037 + 5.964. What is j rounded to zero dps?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60a (base 15) in base 9?\nAnswer: 1771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 16 = 0, 2*n + 2*z = -n + 17. List the prime factors of (12 - 6\/n) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 8*x + 8. Suppose 0 = -2*s + 25 - 3. Let f be (s - -1)\/(9\/6). Let c = -2 + f. Calculate l(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + sqrt(171)*2 + sqrt(171) + sqrt(171) - sqrt(171))*-2 + sqrt(171) + -2*sqrt(171)*2)\/(-5*5*sqrt(9)*3)*-2.\nAnswer: -22*sqrt(19)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 717\/(-6 - 54\/(-8))?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 153365521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18.73672 litres?\nAnswer: 18736.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 6:40 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**2 - 50*k - 19*k**4 + 21*k**4 + 46*k as l*k**3 + d*k**4 + o*k**2 + w*k + n and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*i + 3. Suppose -q - 33 - 543 = 5*j, 235 = -2*j - 5*q. Let t be j\/(-10) - 1\/(-2). What is the greatest common divisor of i and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0632181 to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0073 + -0.0927. Which is greater: s or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 598 and 2645.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23001060 and 300.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(176) + 2 - (-5 + 1*sqrt(176)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3150 = 12*o + 2*o. Let j = o - 60. What is the highest common factor of j and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5*x = -18*x + 572. Let d(l) = 7*l**2 + 6*l - 7. Let j be d(5). What is the greatest common divisor of x and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 10*i - 8. Let n(m) = -6*m**2 - 51*m - 41. Let l(g) = 11*c(g) - 2*n(g). Does 42 divide l(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -428 - 1740. Suppose 4*n - 50 = z. Is 32 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66.4 - 64.4. What is the nearest to 1\/2 in -0.5, -1\/9, -0.1, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/40 and 85\/1745844.\nAnswer: 17458440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2131 + 310?\nAnswer: 3101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-41666)\/(-1255))\/((1\/10)\/((-1)\/4))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18199, -18161, -18109, -18037, -17939?\nAnswer: -17809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -2) + (7 - 8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-57)\/(5187\/(-130)))\/((-1)\/(-9)*21\/(-7))?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 10*u + 4. Let o be g(2). Let k(i) = i - 28. Let x be k(o). What are the prime factors of -26*(3 + -4 + x)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -936856.8 rounded to the nearest ten thousand?\nAnswer: -940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -2. Let t(k) = -k**2 + 4*k - 2. Let x be t(4). Let m be 1\/(x + 1 - 2). Which is the second biggest value? (a) -2\/5 (b) m (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 * 2\nAnswer: 4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-65778)\/190)\/(2*2\/(-20)). Suppose c - 4*c + u = 5*z, -4*z + c + 1395 = 0. What is the remainder when z is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4892 * 3.\nAnswer: -14676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 64*i + 2. Let w(c) be the first derivative of -5*c**3\/3 - 1737. What is w(g(p))?\nAnswer: -20480*p**2 - 1280*p - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 13 = 4*x - 2*l, -4*l + 18 = 2*x. Let i(s) be the second derivative of -23*s**3\/6 + s**2\/2 - s. Calculate the remainder when i(x) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(119))\/sqrt(7)*-1 - (sqrt(2448) + 2*(sqrt(2448) + 0) + sqrt(2448) + sqrt(2448) - sqrt(2448))**2.\nAnswer: -39168 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182*h = -173*h - 4383. Suppose 0 = 4*w - k + h + 1861, w - k = -590. Round w to the nearest 10.\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.0496 (b) -4 (c) 290.4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13 and 5893.\nAnswer: 76609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -117627 and 2.\nAnswer: -235254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**7*d*d*d*d**(-2\/3))**(-3\/22)*(d**(-2\/5)\/d*d**3)**(3\/8) assuming d is positive.\nAnswer: d**(-89\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 119771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.09 or -35\/12843?\nAnswer: -35\/12843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1476828?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o + 17 = -5. What is the closest to -27 in 4, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2. Let o(a) be the first derivative of 8\/3*a**3 + 0*a + 0*a**2 - 2. Let k(m) = o(m) + 6*s(m). Let h(c) = -10*c**2. What is k(h(z))?\nAnswer: 200*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 33117 divided by 1577\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13016061*l**2 + 11191766*l**2 + 18273897*l**2 - 11520846*l**2.\nAnswer: 30960878*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-48))\/(g\/g**(-49))*g*(g*((g\/((g*g\/(g*g*g*(g**(-4\/3)\/g*g*g*g)\/g*g))\/g))\/g)\/g)\/g*g*(g\/(g*g*g**(-5)))\/g assuming g is positive.\nAnswer: g**(-271\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 58792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5*n + 6. Let j be l(-11). Let b = 92 - j. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11484547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -c - 2*z, -3*c - z + 51 - 8 = 0. Let r = c - 17. Is r < -3\/40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 3*q**2 - 3. What is the units digit of a(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 1, 180 in decreasing order.\nAnswer: 180, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h - 16. Let p be f(4). What is the derivative of 7*w**4 + 8 - 3*w**p + w**4 + 6*w**2 - 6*w**4 wrt w?\nAnswer: -4*w**3 + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2018*b + 5 + 1281*b + 970*b)*(-4*b**2 + 2*b**2 - b**2).\nAnswer: -699*b**3 - 15*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 490.4776 litres to millilitres.\nAnswer: 490477.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 + 6*b - 31)*(-9 - 2 + 2).\nAnswer: -54*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24042 + 2203102?\nAnswer: 2124010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1078\/(-44) + 24)\/(2\/8). Let f = -15 + 15. Put 1, v, f, 4 in descending order.\nAnswer: 4, 1, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b**2 + 9*b + 3. Let h be o(-8). Calculate the remainder when h - (3 - 9 - -4) is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -109*h + 5*h**3 - 97*h - 5*h**2 + 210*h. Is j(5) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*m - 4*t - 28, 3*m + 5*t = 21. Let j be -2 - 6 - (3 - m). Let o = j - -10. Calculate the greatest common divisor of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -2\/35*z**7 + z + 4*z**2 + 0*z**5 + 0 - 5\/3*z**3 + 0*z**6 + 1\/8*z**4. Find the second derivative of f(q) wrt q.\nAnswer: -144*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-20) + (-2)\/(-10). Suppose w = 8*l + 2 - 18. Let v = 12 - 6. Solve -m = 5*d + 12, v*d + l*m = d - 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.01 and -488326673329?\nAnswer: 488326673329.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -742 + 1296. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 24*l**2 + 3229*l + 887801. Let z(s) = 17*s**2 + 2151*s + 591867. Let i(m) = -5*t(m) + 7*z(m). Factor i(p).\nAnswer: -(p + 544)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/63)\/(((-24)\/14)\/(-12))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 121500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 4, 1, -2, 433, 16 in decreasing order.\nAnswer: 433, 20, 16, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 240271367?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m - 9. Let o be r(-14). Suppose 3 = o*y - 7. Suppose 5\/6*q**y + 5\/2*q + 0 = 0. Calculate q.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of i**6\/48 + 11*i**5\/40 + 37*i**4\/32 + 15*i**3\/8 + 9*i**2\/8 + 287. Factor z(v).\nAnswer: v*(v + 1)**2*(v + 3)*(v + 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 352 and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*t + 0*t + 8252 = -8374. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265 = 5*f - 5*j, -43*j = 45*f - 41*f - 149 - 63 for f.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 5472241?\nAnswer: -5472234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-120)\/(-72)*(1*3 - 0). Suppose 0*w - 2*x = -4*w, w - 11 = -p*x. What is the biggest value in 6\/7, -5, w, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 14*x = -11*x + 14, 5*x = -s - 18 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - 0*2\/6. Let x = 1 + 3. What is the closest to -0.1 in r, -1\/2, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2219 + 0.0219. What is the closest to g in -3, -2.99, -4?\nAnswer: -2.99","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -k + 3. Let o be 3\/k*(-12)\/18. Calculate the least common multiple of (-3 - -11)*(-1)\/o and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21774 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 7 = 2*w. Let p be ((-3)\/(-9) + 10\/6)*2. Solve 0 = s + w*s - p for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11362 or -11410?\nAnswer: -11410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11594036, 11594096, 11594188, 11594306, 11594444, 11594596, 11594756?\n\"Answer: -k**3 + 22*k**2 + k + 11594014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 84.451 and -829.8888.\nAnswer: -745.4378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 238654.908 + -80?\nAnswer: 238574.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1253, -1262, -1285, -1328, -1397, -1498, -1637?\n\"Answer: -h**3 - h**2 + h - 1252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n - 4*n + 0*n + (6*n - 5*n - 10*n)*(-2 + 0 - 2) to the form u*n + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(46923\/11731 - 7 - -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*c + 3*c - 3*c)*(-c**2 + 4 - 4)*(-c + c + 4*c) in the form u*c**3 + q + h*c + k*c**2 + t*c**4 and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1627744.51 rounded to the nearest 1000?\nAnswer: 1628000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1687 - 1686.97. Which is the third biggest value? (a) -1\/3 (b) -0.05 (c) i (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1005561328 divided by 16144?\nAnswer: 62287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -8726308626 to the nearest one million.\nAnswer: -8726000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*s = -28*s + 1536. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 11*u - 44 = 0, 5*u - 19 - 1 = -3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -10200221?\nAnswer: 10201002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 11:48 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -p + 2*p + 4*r, p - 4*r = 17. What is the smallest common multiple of (-5)\/(28\/(-12) - -2) and p?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/35 - 165\/(-665). Does j = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j, 0 = -4*p + 2*j - 4*j + 440. Suppose 3*t = -2*t + p. Solve 0 = 2*x + 3*o - t, -17 + 5 = -3*o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d**5\/20 + 3*d**4\/4 + 3*d**2 - d. Let t be y(-9). Let f(c) = -c**3 + 6*c**2 + 9*c - 1. Is f(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34098 - -58060. List the prime factors of m.\nAnswer: 2, 11981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - n + 26. Let t be p(4). Calculate the highest common divisor of t and 162.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 929549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**5 + 2*k**5 + k**5 + k**3 - k**3 + 2*k**5 - 2*k**5 + 3*k**3 - 3*k**3 + (-2*k + 2*k**5 + 2*k)*(-3 + 2 + 0) - 6*k**5 + 11*k**5 - 4*k**5.\nAnswer: 3*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -20. Let f(r) = 27*r - 294. Let v be f(11). Solve 4*w = t + 25, -v*t - w - 1 = k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17812 divided by -1\nAnswer: -17812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 280312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 57.2 (b) -139 (c) 0.2 (d) 1 (e) 5 (f) 2\/11 (g) 0.3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 3:20 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 = 15*u - 12*u. Suppose 483 = 4*g - u. Calculate the highest common divisor of 17 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -448*z + 4699 = 5827 + 14552 for z.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 135564 to the power of 1\/2, to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**3 - 4*b**2 + 16*b + 5. Let c be p(-4). Solve -c*n = 6*n - 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401 a factor of 18746309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of p**3 - 82*p**2*z**3 + p*z**3 + 58*z**3 wrt p?\nAnswer: 3*p**2 - 164*p*z**3 + z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndnnnnlnnnnllnnnn. What is prob of picking 2 l?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 89, 172, 237, 272, 265, 204, 77?\n\"Answer: -2*w**3 + 3*w**2 + 88*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/3 in 1\/2, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + 0.5. Let k = 9742.99 - 9743. Which is the smallest value? (a) k (b) 0.1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - (34 + -38)) + 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, 5.83, -10\/41 in increasing order.\nAnswer: -10\/41, 5.83, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 17)\/(-1)*-1. Suppose 5*j + 68 = 9*j. What is the greatest common factor of l and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 18*c**2 + 45*c - 36. Let u be i(9). Suppose -6*z + 3195 + u = 0. Calculate the remainder when z is divided by 70.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 - 135 = -6*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24156 equal to -24145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-7)*(-1)\/(-10))\/((268026\/5240)\/(-341)).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4+-17.835\nAnswer: -13.835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, b: 1, j: 2, a: 4}. Give prob of picking 3 x.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/(-4))\/((-221)\/442). Let t(p) = -p**3. Let n be t(-1). Suppose -26 = 3*y + n. Is l <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 3*j + 34, 3*j = -6*p + 3428 - 3467 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*p**2*w - 2*p**2 - 792*p*w - 12*p - 136484*w + 15 wrt p.\nAnswer: 4*p*w - 4*p - 792*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = d - b - 7, 4*b = 2*d - 10. Solve m + d*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100211211102021 (base 3) to base 7\nAnswer: 62321425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 81 + -46. Suppose 13 = 4*k - b. Let a(u) = -u - 4. Let g be a(-11). Solve 2*h - k = -3*x + 3*h, h = 2*x - g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212121020 + 1111?\nAnswer: 212122201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9 - (-122)\/12) + (-4)\/24. Let t(o) = 12*o - 24. Let n(w) = -1. Let m(r) = -24*n(r) + t(r). Calculate m(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 h when two letters picked without replacement from hhww?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*h + w + 42, -2*h = -2*w - 42. Suppose -2*t - 8 = -0, -z - h = 4*t. Suppose 3*m - m - 74 = z. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2823 + -2?\nAnswer: 2821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*d**6 + 207757*d**5 - 118*d**2 + 7804 wrt d?\nAnswer: -720*d**3 + 12465420*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 3*u**2\/2 + 1. Let k(w) = -7*w. Let g(o) = 48*o. Let n(y) = 4*g(y) + 27*k(y). Determine n(v(i)).\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -44*q**2 - 32*q + 8. Let j(t) = -44*t**2 - 32*t + 7. Let d(v) = -6*j(v) + 5*u(v). What is the second derivative of d(l) wrt l?\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-88)\/32 + 2\/(-8). Let l = -0.6 + -0.4. Let r(s) = s**3 + 6*s**2 - 3*s - 13. Let p be r(-6). Put a, p, l in increasing order.\nAnswer: a, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 150 and ((-125)\/(-25))\/((-55)\/(-18) - 3).\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/42*(-8684)\/(-40). Let x = -103\/4 - f. Which is the closest to 1? (a) -4\/5 (b) 1\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**3 - 3*d**2 - d + 2. Let a be v(-2). Let i be (-22)\/(-6) - (-1)\/3. Suppose i + a = 3*c. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -487093010 divided by 14326265.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 - 1660*s + 37493. Calculate y(22).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 62*d**2 - 58*d - 300. Let x be q(63). Solve 15 = -x*c + 12*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 9 - 3 = -4*v, -4 = -g + 5*v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1253253*g - 1253247*g - 108 = 0 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4*(((-5*sqrt(176))**2 - (-3 + -1*sqrt(11)))*6 + -1))*5.\nAnswer: 120*sqrt(11) + 528360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (426\/54 - 8)*(-1 + 1). Which is greater: y or -3\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/111, -2\/11, -3\/7, -0.2, -4\/7, -7.34?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3725715 and -11.\nAnswer: 3725704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2934.59 - -2953. Let g = -1.59 - z. Which is the nearest to 1? (a) 2\/3 (b) g (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 354*l**2 - 5*l + 4. Is h(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 2*n**3 + 64*n**2 + 42*n + 109. Solve y(x) = 0.\nAnswer: -21, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*u + 1181 = 323. Sort -2, 20, u in descending order.\nAnswer: 20, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110010100 - -10110010011?\nAnswer: -11000000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1876997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - -1. Solve 0 = 2*s + 6, 3*u - h*s = -0*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 130 - 68. What is the remainder when 18 is divided by 1\/(-3 - j\/(-20))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - p - 59*c = -57*c - 3, 5*p - 160*c = -155 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(5) + -2 + sqrt(245))**2 + (sqrt(405)*-2 - sqrt(5))**2.\nAnswer: -36*sqrt(5) + 2214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 782, 211 in descending order.\nAnswer: 782, 211, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -194, -354, -392, -248, 138?\n\"Answer: 10*l**3 + l**2 - 233*l + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**2 + 45*x - 19. Determine g(-19).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*r - 37*r + 9*r + 29*r**2 + 14*r wrt r?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*z - 184 = 62 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142 a factor of 1731272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -7 + (-5 - (-9 + 3 - 19)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - o**2 + 2*o)*(-o**2 + 3*o**2 - o**2) + 9*o + 1 + 0*o**4 + o**4 - 2*o**4.\nAnswer: -2*o**4 + 9*o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -5*d + 318, -d + 5*d = -3*b + 255. Let k = d - 59. Solve 0 = 13*m - 9*m + k for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 6*m. Suppose -2*g + 6*g = 0. Let y(k) = -k**2 + k + 1. Let z be y(g). Solve m*r + z = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-4)\/(-4) + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74\/259*(-14)\/6.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 8*l - 7 + 0*l**2 + 9*l**2 - l**3. Let y be p(9). What is the units digit of y + 5 + -3 + 22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215 - 116 + p - 4.\nAnswer: p - 335","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v + 34*v = 973 + 701. Let g be ((-8)\/10)\/(2\/(-65)). Solve v*b = g*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-2\/9)*h*h)\/(h*h**(-7\/5)\/h))**(-1\/8))**(10\/3) assuming h is positive.\nAnswer: h**(-47\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 9:29 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.767387 kilograms in nanograms?\nAnswer: 8767387000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 522 = 2*h + 3*y, -4*y - 8 = 0. Let s = 431 + h. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/4, 1, -5 in descending order.\nAnswer: 3, 1, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 80212583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 22 and -1273.202?\nAnswer: 1295.202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 4 + 2)*126*(-242)\/38115?\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 52429 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/(4*sqrt(448)).\nAnswer: sqrt(19)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17901482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/44 and 12\/(-78) + (-3412)\/(-208).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10827*h**6 - 2844*h**5 - 1910*h**2 + 127?\nAnswer: -1299240*h**3 - 170640*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 6*y**2. Let a(j) = 1468112*j. What is z(a(t))?\nAnswer: 12932117067264*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxmx when four letters picked without replacement from {y: 2, b: 3, m: 8, r: 3, x: 3}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjf when three letters picked without replacement from {i: 1, h: 2, t: 1, f: 2, u: 1, j: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 5.219107, -2\/9 in ascending order.\nAnswer: -2\/9, 0.3, 5.219107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.2 - -1.5. Let k = 0.3 + t. Let g = 202 + -1820\/9. What is the third smallest value in 2, k, g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 271*m**6 - 141*m**2.\nAnswer: 32520*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -4\/5 (b) 11\/4 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -509.68 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1403383, 2806755, 4210127, 5613499, 7016871, 8420243?\nAnswer: 9823615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -21*l. Suppose 2*h + 55 - 43 = 0. What is the remainder when 76\/h*(-7 - -1)\/2 is divided by q(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3843398870 rounded to the nearest one million?\nAnswer: 3843000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 1162*g**4 - 61 - 109 - 4*g**5 - 1163*g**4 + 28. Determine c so that w(c) = 0.\nAnswer: -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 262.3 + -249. Let c = 13 - m. Let d be 1\/9 + (-1)\/3. What is the biggest value in d, 2\/3, c?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 186 - 190. Which is greater: -0.19 or b?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/10)\/(3\/(-15)). Let h = -1590 - -1606. Solve h*c + z = 12*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -7*y. Let k(z) = 2*z + 458. Calculate h(k(r)).\nAnswer: -14*r - 3206","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - 13 - 2, 5*g - 3*g - 2*p + 30 = 3*p - 1 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 3:33 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**5 + y**5 - y**5 + 0*y + 0*y - y**5 + (0 + 6 - 4)*(3*y**5 - 2*y**5 - 3*y**5) + 2*y**5 - 3*y**5 + 0*y**5 + (4*y + y - y)*(-6*y**4 + 2*y**4 + 3*y**4).\nAnswer: -8*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*s**3 - 13*s**3 + 6 - s**4 + 11*s**3 - 6*s + 19*s**3 to the form x*s**4 + q*s + b*s**2 + n*s**3 + t and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26.934 - -0.066. What is the third biggest value in c, -2\/3, 1\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/8 - 7*p**3\/8 + p**2.\nAnswer: -p**2*(p - 1)*(p + 8)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53 - -145. Suppose 2*c = -2*c + q + d, 3*c - q - 70 = 0. Suppose -7*w - c = 6. Sort w, 3, -5 in decreasing order.\nAnswer: 3, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -52, -56, -60?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 197*o - 104. Is w(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 519387.6 litres?\nAnswer: 519387600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-492)\/451*(-148)\/222.\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/(-98)*7*(-4)\/(-152).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 47*v**2 - 99*v + 67. What is the remainder when g(-49) is divided by 32?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 238a (base 16) to base 13.\nAnswer: 41ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-16) + 7\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 25*f**2 - 103*f - 10. List the prime factors of m(-25).\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -570*d + 3437. What is t(6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -579b?\nAnswer: 579a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -231 + 392. Let h = y - 115. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4271683?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u + 20. Let k be r(8). Let m(x) = -9*x**2 + 4*x - 4. Let q(t) = 10*t**2 - 5*t + 5. Calculate k*q(w) - 5*m(w).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + (-6 + 19 - 19) - (5 + -1)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-22) - (-849)\/(-11). Let v = 42 - z. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -12 (b) -0.02 (c) -1 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4291239401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3157 by 3.\nAnswer: -3157\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**4 + 5*t**3 + 5*t**4 - 9*t**4 + (3*t + 2*t - 2*t)*(1 + 3*t**3 - 1).\nAnswer: 3*t**4 + 5*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 884315, 884316, 884317, 884318, 884319?\nAnswer: 884320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2*t + 19208, 16 - 1 = 5*t. Let s be z + ((-16)\/(-4))\/4. What is s rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 6. Suppose 16 = 2*i + 4*k, 7*i - g*i = -k + 13. What is the lowest common multiple of i and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 16*k**2 - 9*k**2 + 24*k - 322 + 635 - k**3 + 11*k**2 - 324. What is the tens digit of y(17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i + 12216 = 12054 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 5:16 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.341 or -397?\nAnswer: -397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 45993757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2590\/6129 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(66)*-2*-1*4)\/(sqrt(30)\/((sqrt(120)\/sqrt(2))\/sqrt(12))) + -2).\nAnswer: -8*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2532\/1688*(-5 - 1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*k = 10*k + 17 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3492653*l**3*q + 3*l**2*q**2 - 9*l**2*q + 2*l*q**2 + 2*l*q - l + 98829*q**2 - q - 5 wrt l?\nAnswer: 20955918*l*q + 6*q**2 - 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 14 = 2*h. Let u be 2\/h - (0 - 200\/35). What is the third derivative of -10*q**2 + 4*q**u - 37*q + 37*q wrt q?\nAnswer: 480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - 2*t + 288. Let v(s) = s - 12. Let x be v(22). Suppose x*y + t = 11*y. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 643\/4354 + -22 + (-6120)\/(-280). Is v at least -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360 is divided by 29?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11, -2, -57?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -0*n + 4*n. Suppose 3*b - 54 = 3*j, -10*b = -6*b - 5*j - 73. Let v(g) = g**3 - 2*g + 6. Let f(i) = 3*i**3 - 6*i + 17. What is b*v(t) + n*f(t)?\nAnswer: -t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 - 2 + 3)*(-4*s - 3*s + 5*s) - s - 3*s + 2*s + 3*s - s - s + 0*s - s - 3*s)*(4 - 5*s**2 - 4) in the form d*s**3 + u*s**2 + m*s + y and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -30468, 16, -4, 2 in ascending order.\nAnswer: -30468, -4, 2, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(54)\/sqrt(2) + sqrt(27))\/sqrt(9) - sqrt(12)*4)*1.\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8711 and 313441?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3113*b - 2041328 + 2041328 to p*b + h and give p.\nAnswer: 3113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11 + (-1)\/(-2)*-2. Let w be 2\/5 - (-36)\/p. Suppose 2*m + 2 = 0, -w*i + i + 20 = -5*m. Solve 2*r + 2*j = 8, -r - 2*j + i = -2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -101*u - 2. Let h(w) = -402*w - 11. What is -2*h(c) + 9*i(c)?\nAnswer: -105*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.029 + 1.029. What is the closest to -1 in 0.6, 2\/3, s?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 6*i + 2*i = 0. Suppose i = -4*f + 5*f - 9. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11, -61, -197, -461, -895, -1541?\n\"Answer: -7*o**3 - o**2 + 2*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*a**2 + 5*a**3 + 6*a**2 - 54*a + 69*a.\nAnswer: 5*a*(a - 3)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*o + 8 = 0, -x + 3*o = 2*x + 12. Suppose 3*j = -x*j. Sort -3, 1, j in ascending order.\nAnswer: -3, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*y = -0*x, 4 = 4*x + 5*y. Let q be (-290)\/x*24\/20. Calculate the greatest common divisor of q and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -19.3\nAnswer: 19.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 645 + -614.1. Let c = 8.1 + s. Let q = 39 - c. What is the nearest to 1 in q, -0.19, -1\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 4:28 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/17 (b) 1.9 (c) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/410 and 22\/15375?\nAnswer: 30750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v + 20 + 13 - 44 - 10*v - 2*v**2. Suppose t = -2, -9*w + 3*t - 24 = -4*w. Let f(r) = -r**2 - 7*r - 6. Give w*c(l) + 11*f(l).\nAnswer: l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*f + 3. Is -11 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x - 4. Let s(k) = -k - 1. Let j(p) = -f(p) + 2*s(p). Suppose 0*g - 5*g = -4*w + 26, -3*w = -3*g - 21. What is the tens digit of j(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 327*w + 2948. Let l be h(-9). Solve 49*j - 44*j = l for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 j when two letters picked without replacement from {y: 2, s: 2, j: 5, x: 4}?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -11694451.\nAnswer: 2\/11694451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 20\/3)*(-2 - 1). Let o(k) = -k**3 + 16*k**2 - 4*k + 8. What are the prime factors of o(v)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1742*a**2*k**2 - 34*a*k**2 + 19*k**2 wrt a.\nAnswer: 3484*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 9*s**2 - 11*s + 8. Let a be d(-10). Suppose -5*h = 3*v - 38, h - 5*v - a = 12. What is the greatest common factor of h and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 40. Suppose -n + 9 = -3. Calculate the remainder when o is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/6)\/(248\/(-20460)*5).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 7*f = -3*f + 8712, -4*f - 4346 = -2*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 6*g**2 + 8*g + 3 - 4*g**3 - 3*g + 5*g**3. Let n be o(-5). Suppose -2*u + 10 = n*u. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n*n\/(n*n**(3\/14)\/n)*(n**(-3\/22)*n)\/n*n*(n**(-4\/7)\/n*n)**(-1\/87) assuming n is positive.\nAnswer: n**(24491\/6699)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s - 6. What is a(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(1 - 1 - 2)*(-16 - 4 + 3)*(-1 + 0 - 1)*(m + 2*m - 7*m).\nAnswer: -272*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1131? (a) -25 (b) 0.2 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 28*a**2 - 31*a + 31. Let o be h(1). What is the second derivative of 18*l - 57*l**5 + 50*l - o*l + 13*l**5 wrt l?\nAnswer: -880*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 5*o**2 + 4*o + 1. Suppose m + 0*m + 4*u = 4, 0 = -2*m - 5*u + 8. What is v(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2258812209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.04, -3, 0.08, -0.1 in descending order.\nAnswer: 0.08, 0.04, -0.1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-4) + 5\/2. Suppose -2*m = w*m. Suppose 2*d + 2*g - 26 = 0, 5*d - g - 7 - 28 = m. Solve d*o = 4*o - 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 152969.52ms?\nAnswer: 2.549492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42990970709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r - 3*r + 5*r)*(4*r**4 - 6*r**4 + 4*r**4) - 7*r**5 - 7*r**5 + 5*r**5 + (-4*r**4 + 5*r**4 - 3*r**4)*(-r + 4*r + 0*r) + 5 - 2*r**5 - 5.\nAnswer: -21*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 5 = 0, -3*k + 9 = 5*m - 23 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + s**3 + 2*s + (-36*s - 12*s + 10*s)*(-2*s + 2*s + 2*s**2).\nAnswer: -75*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 75*q**2 - 207*q + 196. Determine v(-78).\nAnswer: -1910","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = w - 6. Let v(x) = 3*x**2 - 4*x + 4. Let i be v(2). Suppose -w - i = -4*y. What is the remainder when 13 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 4*n + 3. Suppose 0 = 5*r + 2*d + 5, -r + 2*r - 16 = 3*d. Let u = r - 1. Let w = u + 5. Calculate l(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -82?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.12145 years in decades?\nAnswer: 5.612145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -642 - -1050. Suppose s + l = 4*s. Suppose -4*w - o = -9*w + s, -85 = -3*w + 4*o. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 + (-73 - (-19 + -20)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(-30))\/1*12355\/2118.\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -3\/20*o**5 - 13\/2*o**2 - 13\/12*o**4 - 2\/3*o**3 + 0 + o. Is f(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 248 - 150. Suppose 0 = 32*i - 29*i - 3*g - 102, i + 2*g = 34. What is the remainder when c is divided by i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-6))\/(39\/78)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -5*q - 6*q**2 + 18*q**2 - 2*q**2 - q**3 - 6*q**2 + 4. Calculate g(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42218, -42212, -42196, -42164, -42110, -42028, -41912, -41756?\nAnswer: -41554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6.91 and 3.\nAnswer: -3.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 764 and 39346?\nAnswer: 78692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 196, 191, 176, 145, 92, 11, -104?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (6 + 0 + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*y - 24. Let i be ((-28)\/(-8) - 4)*y. Solve 0*o + i*o = 3*b, o - 11 = -4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**19*m)\/m**(-4\/7))\/(m**1*m\/(m**(-22)*m)*m))**(-3\/7) assuming m is positive.\nAnswer: m**(72\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(3*(sqrt(1088)*-2 - sqrt(1088)) - sqrt(1088)))**2.\nAnswer: 108800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 18800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/6410 or 1?\nAnswer: 1\/6410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 434209 is divided by 144700.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 + -42. Let a be 14\/k*(-3)\/11. Let p = 5\/2 + -3. Which is bigger: a or p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354758 is divided by 35403.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -14*s**2 - 8*s - 8. Let q = -138 - -149. Let y(b) = 5*b**2 + 3*b + 3. Give q*y(v) + 4*u(v).\nAnswer: -v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4047469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50631 - 578415. Is (3\/9)\/(-2 + (-1055576)\/f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 802, 1593, 2384, 3175?\nAnswer: 3966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10*(-44)\/3080)\/((-3)\/(-2373)).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w + 10. Let x(y) = 6*y - 31. Let t(r) = 7*k(r) + 2*x(r). Let g(j) = -4*j + 17. Let a(z) = -3*g(z) + 7*t(z). Determine a(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a + 4*h = 6 + 11 - 7, 4*h + 3 = 3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.149951 - 0.15. What is h rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 6:13 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*i = -138, 2*w - 137 - 166 = -3*i. Suppose 0 = 4*l - l - w. What is the second derivative of -45*u**3 + 4*u + u + 0*u + l*u**3 wrt u?\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 16 = -6*r. Suppose -2*q = 8, -4*p + 3*p - 4*q = r. Does 2 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + 6*3*sqrt(66) + (sqrt(66) - (sqrt(66) - 2*sqrt(66))*-1 - sqrt(66)))\/((sqrt(120)*1)\/(2*sqrt(320))).\nAnswer: 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1370 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 36?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -46. What is the remainder when v is divided by (7\/(84\/40))\/(12\/54)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1424\/42 + ((-3247)\/(-357) - (-36 - -45))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 92 = 7*p. Solve 0*v - 2*v = -p for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -5755*o**2 + 102*o + 285. Let u be p(45). What is u rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -11*f - 94. Let r be x(-9). Suppose 1528 = t - 3*j, 0 = -2*t + r*j + 970 + 2082. What are the prime factors of t?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffeflqlffef. What is prob of picking 2 l and 1 e?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 5 = 4*g - 5*b, -3*b = -g - 3. Suppose g*j - 43 + 16 = 0. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 9760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-22)\/((q*q*q**(-18))\/q))\/(q*q**(1\/9))**(-31) assuming q is positive.\nAnswer: q**(265\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 189, 834, 2083, 4080, 6969, 10894, 15999?\n\"Answer: 24*b**3 + 158*b**2 + 3*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h = -21*h + 30. Suppose h*v - 35 = 3*v. Solve -o + 5*u = 20, u + 1 - v = 5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 117196416 to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 14*q**2 + 43*q - 13. What is h(-13)?\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/((-91)\/(-14)))\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fgf when three letters picked without replacement from {a: 1, c: 1, t: 3, f: 4, w: 2, g: 7}.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3512*k + 184 + 243*k**2 - 186 - 3511*k - 13*k**3 - 4*k**3 in the form z*k**3 + f*k**2 + o + c*k and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 226 - 30. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 273*c - 272*c + 4*g, c + 13 = -2*g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 7*c + 22. Let l be v(-6). Suppose -8*g + 4*p = -4*g + l, 9 = -4*g - 3*p. List the prime factors of (-26)\/(g\/6*(1 - -3)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**5\/4 + 201*z**4\/4 - 3882*z**3 + 83769*z**2 - 758520*z + 2518992 = 0. Calculate z.\nAnswer: -119, 12, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*r**4 + 11*r**4 + 5*r**5 + (-2*r + 0 + 0)*(0*r**4 - 10*r**4 - 7*r**4).\nAnswer: 39*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3156615299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*d + 1 + 3*d + 2*d)*((1 - 5 + 3)*(5 - 6 + 2) - 73 + 29 - 38) + 2*d - 1 + 1 as b*d + k and give k.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -r - 2*w + 3, -22 = -5*r - 3*w. Let p = 95\/4 - 24. Which is the nearest to 2? (a) 1\/3 (b) p (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -161572, -323137, -484700, -646261, -807820, -969377, -1130932?\n\"Answer: c**2 - 161568*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*q**2 + 14*q**2 + 107 - 17*q - 108.\nAnswer: 43*q**2 - 17*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3029*y + 3012*y + 85. Solve 2*u - y*r = -27, 18*u - 13*u = 5*r - 30 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 4 + (4 - 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*f = w - 107, w + f - 22 = 0. What is the highest common divisor of w and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 23044.9402 and 0.1.\nAnswer: 23045.0402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3900071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2319 is divided by 146?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -6\/133, -0.5 in descending order.\nAnswer: -6\/133, -2\/13, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3148149 divided by -17203.\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 1009*j + 1011*j - 22 = 0, 4*d + 17 = j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l**2 + 2*l**2 + 2*l**2 + (-l**2 + 2*l**2 - 2*l**2)*(-4 + 0 + 2) - 7748*l**2 + 14902*l**2 - 10632*l**2 to o*l + p*l**2 + g and give p.\nAnswer: -3475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 12. Suppose -5*f = k, -z - 2*f = 3*z + 62. Let r = z - -26. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 438.\nAnswer: 43.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d - 3*d**2 - 3 + 3*d**3 - 5*d**2 + 2*d**2 - 2*d**3. What is the least common multiple of 11 and v(6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 10*p**2 - 8*p - 9. Let o be x(8). Let j be (-936)\/(-28) - 6\/14. Let a = o - j. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2487*u - 218853. Determine m(-88).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 45, 192, 481, 960, 1677, 2680, 4017?\nAnswer: 5736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 2*v**2 + v)*(-3 + 3 + 9*v)*(1 - 1 + 2).\nAnswer: 36*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -17 - (-4 + 1 + 2). Suppose -4*i + 131 = 27. Let r = i + t. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 + 337*v. Let h(q) = 17*q**2. Calculate f(h(i)).\nAnswer: 578*i**4 + 5729*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dv when two letters picked without replacement from {d: 1, v: 2, q: 1, p: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21917 by -217.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b01c (base 13) to base 6.\nAnswer: -304000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.35477902*3\nAnswer: 1.06433706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.5, -3\/4, 0.5, -5722, -6.\nAnswer: -5722, -6, -2, -3\/4, -0.5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2*1 + 2)\/1. Suppose -5*w = -4*p + 1604 + 548, -4 = w. Suppose -i = d, j + i = 158 - p. What is j rounded to the nearest 10?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ts when two letters picked without replacement from ssttttttss?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 11*x**2 + 17*x + 1. Let w be h(12). Let f = w - 32. Does 18 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1477*o + 45 = 1480*o for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/11)\/(2190\/84315).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 151617 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 29.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 2*b + 3*b)*(4*b - 2*b - 4*b)*(7 - 3 - 2).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/487 + -4391\/1948. Put -0.1, n, 3 in decreasing order.\nAnswer: 3, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51.7 + 12.7. Let d = l + 40. Which is the closest to 0? (a) d (b) -0.01 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -40, -42, -46, -52, -60?\n\"Answer: -m**2 + m - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1402ea (base 16) to base 13.\nAnswer: -36bc20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 14*s - 8. Let x be t(10). Factor 80 - 20 + 19*h - 27*h**2 + 21*h + x*h**2.\nAnswer: 5*(h + 2)*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, z: 9, l: 2}. What is prob of sequence zz?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s**3 + 3*s**2 - 7*s + 5. Suppose 0 = -35*f + 33*f + 2. Calculate the smallest common multiple of g(f) and 291.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 495 and 55170?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 4*h**2 + h + 24. What is y(0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 848403 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p - 8*p - 9*p)*(-149*p + 25 + 297*p - p**2 - 149*p).\nAnswer: 21*p**3 + 21*p**2 - 525*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49*15.7.\nAnswer: 769.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/2)\/(v*v*v**(5\/2)*v*v*v)*(v**(-2))**17*(((v**(1\/2)\/v)\/v)**(13\/5))**(-2\/5) assuming v is positive.\nAnswer: v**(-986\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 513 and 297?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + q + (2*q - 4*q + 4*q)*(0 - 1 - 1) + 1 - 2*q - 1)*(-q**2 + 6*q**2 - 4*q**2) + 4*q**3 - 9*q**3 - 4*q**3.\nAnswer: -14*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 275 + 1c?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-700307013)\/90 - (-16)\/(-8). Let g = l + 7782541. Let k = g - 6859\/5. What is the common denominator of -53\/2 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 0. Let o(l) = 2 + l - 2 + q + 4. What is the remainder when 35 is divided by o(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -17, 15, 83, 199, 375, 623?\nAnswer: 955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {e: 2, r: 4, b: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*d + 4*t + 250, 0 = -3*d + t + 238. Let m be (1\/2)\/(3\/d). Let s = -7 + m. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**2\/13 - 764*i\/13 - 52560\/13 = 0.\nAnswer: -292, -90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1430801 >= 1430797?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/3070 and 107\/24130?\nAnswer: 7407910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/78 and 8601\/(-15040)*5\/((-135)\/(-4)).\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0*i\/(i*i**(2\/5)))\/((((i\/(i**(1\/4)\/i))\/i)\/i)\/(i**(-3)\/i)) assuming i is positive.\nAnswer: i**(-83\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2459 - 2558.14. Let f = x - -91.2. Round f to zero dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 at least 1733\/76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8 and -656.268.\nAnswer: 525.0144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.07473 - 1.07473. Let o be (3\/4)\/(-3)*1. Which is the fourth smallest value? (a) o (b) y (c) -1\/9 (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 485780?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 262178167 - -230\nAnswer: 262178397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 + -50?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 118876 and 2724?\nAnswer: 80954556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 164 and 4428?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.54712 to 2 dps.\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - (2 + -2))*4. Let s(a) = 5*a**3 - a**2 - 10*a - 3. Let p(j) = j**3 - j**2 - j. Let d(v) = -4*p(v) + s(v). Is 2 a factor of d(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5*a**3 - 98*a**2 - 149*a + 46. Let u be g(21). Solve -u*j = -3*x + 23, 3*j - 6 = -3*x - 18 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*i = -4. Suppose -5*p = -i*h + 35, -5*h = -4*h - 3*p - 15. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 124*o**2 + 2131*o**2 + 1145*o**2 to the form s + b*o + v*o**2 and give v.\nAnswer: 3400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 14. Let y be 3 + -6 - (-3)\/(-3). Sort y, z, -2.\nAnswer: y, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*t**3 - 186*t**2 + 63*t**2 + 59*t**2 + 64*t**2.\nAnswer: -60*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.249 times -3\nAnswer: -0.747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 67*z - 185010. Find the first derivative of 18 + 76 + 2868*g**2 - z*g**2 wrt g.\nAnswer: 450*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (84 - -2) + -95 + 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 714174943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2863188*n**2*q**2 + 3*n**2*q + 2*n**2 - 2*n*q**2 + 87*n - 1566*q**2 wrt n?\nAnswer: -5726376*q**2 + 6*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(12*(-3)\/6)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -649991606 - -0.5.\nAnswer: -649991605.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 5*j**2 + 2*j. Let t(a) = 4*a**2 + 2*a - 1. Determine 3*d(k) - 4*t(k).\nAnswer: -k**2 - 2*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000204038 to 7 decimal places.\nAnswer: 0.0000204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -51, -359, -1193, -2817, -5495, -9491?\n\"Answer: -44*x**3 + x**2 - 3*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2000 - 1653?\nAnswer: -3653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -753, -751, -749, -747, -745, -743?\n\"Answer: 2*t - 755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from saabmfssbafmfsfb. Give prob of picking 1 b and 1 m.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 782353.2 hours to seconds.\nAnswer: 2816471520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 93130 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26325\/3856 + 124\/241. What is the common denominator of s and (-5726)\/1260 - (-2)\/(-5)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6584429*m**2 - 71550742*m?\nAnswer: -13168858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**4 - j**4 - 2*j**4 + (0*j + 0*j - 2*j**2)*(0*j**2 - 2*j**2 + j**2) + 111*j**2 - 111*j**2 + 21*j**4.\nAnswer: 25*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 24 = 5*t. Let x be 33\/88 + (-109)\/(-8). Calculate the highest common factor of t and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 divided by -14.\nAnswer: 40\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.13 (b) -29.8 (c) -0.2 (d) 33\/2 (e) 2 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 16*g - 22. Let p be f(2). Suppose 172997 = t + p*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/((-2*sqrt(70))\/sqrt(7)) - (((2*sqrt(84))\/sqrt(6))\/sqrt(7))**2.\nAnswer: -8 - sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a day?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*d = 84*d - 4. Let b = -0.2 - -0.3. What is the closest to -0.1 in b, d, 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7038.34 rounded to the nearest one hundred?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cu when two letters picked without replacement from uefueevufofcov?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 126\/(-12)*-2*(-1)\/(-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 - 13 = -12*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 316 by 681450.\nAnswer: 158\/340725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 12) to base 4\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 2*s + 3 = -3, 5*m - s = 18 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**4\/5 + 1216*z**3 - 2391248*z**2\/5 + 59465152*z\/5 + 213702144 = 0. What is z?\nAnswer: -12, 40, 746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*c**3 + 38*c**3 - 33*c**3)*(-2*c + 3*c + c + (-c + c - c)*(1 - 1 + 1) - c - c - 2*c - c + 0*c - c).\nAnswer: 70*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63\/(-42))\/(18\/12)*(-1)\/(-2)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.54, -3 in ascending order.\nAnswer: -3, -1, 0.54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/((sqrt(384) - sqrt(6))*-1).\nAnswer: -sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000731022 to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(250)\/(sqrt(30)\/sqrt(6)))\/(sqrt(1210) + 1*sqrt(1210) - sqrt(1210)).\nAnswer: sqrt(5)\/11 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3960242*x**4 + 467*x**2 + 7726*x?\nAnswer: 95045808*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 76. List the prime factors of n(0).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112\/5 - 21\/(-35)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 - 640*n**2 - 99265*n - 2218500.\nAnswer: 5*(n - 225)*(n + 29)*(n + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/9 + 9704*f**2\/9 - 11780650*f\/9 + 23522500\/9.\nAnswer: -2*(f - 2425)**2*(f - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f + 46 = 34*f. Solve 3*m = 12, -f*m - 28 = 4*t - 4*m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 37.\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -845 (b) 5 (c) 12 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 42\/28 - (-1)\/2. Suppose -3*b + h*t + 220 - 84 = 0, 0 = -2*b + 4*t + 88. Suppose -2*q + c = -b, -8 = -3*c - c. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-4) + (-353)\/(-4). Let q be -4 + 21\/3 - -43. Let l = q - 35. What is the greatest common divisor of l and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**6\/120 - 7*h**5\/30 - 9*h**4\/8 - 31*h**3\/6 - 93*h**2. Let v be c(-12). Solve 0 = -3*o - v - 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 17\/5 - (-9)\/15. Suppose 0 = -v*r - u + 17, -2*r - 2*u + 4 = -12. Is 3 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + f - 5. Let s be k(4). Suppose -5*u = r + 39, -3*r + r + 4*u - 36 = 0. Let i = s - r. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-7859.04.\nAnswer: 3143.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -210, -200, -200, -216, -254, -320?\nAnswer: -420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.06 - 2.06. Put 2\/11, c, -3\/5, 0.4 in ascending order.\nAnswer: -3\/5, c, 2\/11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -8.1. Let q = -11008\/3 + 3670. Which is the third smallest value? (a) 3\/2 (b) -1\/3 (c) q (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.142 - -0.079. Let k = 0.025 - p. What is k rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**5\/20 - 5*t**4\/12 - 3*t**3 + 3*t**2\/2 - 33*t. Let p be y(8). What is the greatest common factor of 68 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1154070 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132087*y - 20845 = 131708*y for y.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -21, -10, -9, -24, -61, -126?\n\"Answer: -a**3 + a**2 + 15*a - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**3 - 4*o**2 - 6*o - 24. Determine b(-3).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, 279, 879, 1783, 2991, 4503?\nAnswer: 6319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -2\/11, 18\/5, 5, 11.\nAnswer: -3\/4, -2\/11, 18\/5, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -483367.10637934 - -483375.316. Let o = h + -1.20962074. Let y = o + -7. What is y rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468)*1*-4)\/sqrt(9))\/(sqrt(324) + -6*(sqrt(324) + -3*sqrt(324))) + -3.\nAnswer: -3 - 4*sqrt(13)\/117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -235 (b) 2\/3 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*r + 4\/3*r**3 + 4\/3*r**2 + 0 = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/(sqrt(9)\/sqrt(3)) + sqrt(18))\/(sqrt(18)\/(sqrt(3) + sqrt(12))).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 633134*f + 3503*f + 259269*f.\nAnswer: 895906*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 0 = j. Let a = 0 - j. Find the third derivative of -5*t**6 + 0*t**2 - 5*t**2 - 6*t**2 + 37*t**a wrt t.\nAnswer: 3840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/7)\/((-4)\/(-28)). Let o be y\/21 + 24\/14. Let v(m) = -5*m - 6 + 4*m + 2*m + m**o + m. Determine v(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 2:48 PM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -92674 by -2386.\nAnswer: 46337\/1193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58 + 81. Calculate the remainder when n is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -7548?\nAnswer: -15096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 + -3 - 8)*3. Let o = n + 21. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -2*(-1)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 780354 and 1995.\nAnswer: 518935410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-23)\/(u\/(u\/u**(-1\/31))))\/(u**4*u)**(6\/29) assuming u is positive.\nAnswer: u**(-21578\/899)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p - 4. List the prime factors of o(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - (-14)\/10)*(31 - 1). What is the highest common divisor of n and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*n + n + n)*(11*n - n - 2*n)*((-3 - 1 + 2)*(-2*n - 3*n + 3*n) + n + 4 + 2*n - n) to o + v*n**3 + k*n + s*n**2 and give v.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b + 1. Let k(f) = 27334*f. Calculate w(k(q)).\nAnswer: -82002*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -12\/7, 0.4 in descending order.\nAnswer: 0.4, -12\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t**2 - 3*t**2 + 5*t**2)*(-17*t - 4 + 17*t + t**2) to i*t**4 + p*t**3 + w*t + n*t**2 + x and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -58*a**3*i - 14*a**3 + a**2 + 3*a*i**2 + 2*i + 8 wrt i?\nAnswer: -58*a**3 + 6*a*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 24.244, 16, -3\/8, -0.3 in descending order.\nAnswer: 24.244, 16, -0.3, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**5 + 75*o**4 - 10*o**3 - 150*o**2 + 5*o + 75 = 0. Calculate o.\nAnswer: -15, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1258, 1218, 1158, 1078, 978, 858, 718?\nAnswer: 558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 153 = -53. Suppose -300 = -10*s - c. Solve -s = 4*r + r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618399936 divided by -51533328?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 13) to base 10.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-2))\/(2\/52). Suppose -z = -5*z + 16. Let x be z\/26 + (-76)\/q. Solve x*t - 8 = 4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -625311\/28 + 22336. Find the common denominator of s and -86\/63.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 342505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t**2 - 28*t + 72. Let w be a(6). Suppose -4*y - 5*s + 23 + 102 = 0, y - 2*s = 15. Let v = y + w. List the prime factors of v.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 668718230 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(-b**4 + 2*b**4 + 0*b**4) + (-11 - 2 - 21 + (-1 + 0 + 4)*(2 - 4 + 0))*(-2*b**4 + b**4 + 3*b**4).\nAnswer: -78*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011100000110 + 0?\nAnswer: 1011100000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b. Let i(l) be the second derivative of -l**5\/10 - 25*l**3\/3 + 32*l. Let f(d) be the second derivative of i(d). Determine a(f(j)).\nAnswer: -24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2 + sqrt(13) + 0 + sqrt(13) - ((-1*sqrt(13) - sqrt(13))*-4 + sqrt(13))) - -3*(-1*sqrt(832))**2*5.\nAnswer: -7*sqrt(13) + 12480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 193 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -513640*b**2. Let l(a) = -115*a**2. Give h(l(w)).\nAnswer: -6792889000*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of m**5\/30 - m**4\/6 + m**2. Let f be j(-2). Suppose -5*r + 9 + f = 0. What is the nearest to 0 in 3, r, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01228+0.1\nAnswer: 0.11228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3)*3 - sqrt(30)\/sqrt(160) - (sqrt(12) + 3 - 6*-2*sqrt(3)))**2.\nAnswer: 207*sqrt(3)\/2 + 14427\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.62785*-0.4.\nAnswer: -0.25114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*((-171)\/18 + 11). Let t(c) = 4*c**2 - c + 6. Give t(w).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.622 - -19.685388. Let m = -0.063 + j. Round m to 5 decimal places.\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 - (5\/(-4))\/((-19)\/(-95)). Which is the closest to -0.1? (a) -2\/7 (b) y (c) 1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3497*k + 59. Is o(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29920 divided by -5984\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.16 - -13.2. Let p = -0.04 + n. Sort 0, -0.2, p in ascending order.\nAnswer: -0.2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 21*b**2 - 18*b + 48. Give s(-20).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/5 - 28542\/(-30). Let t = -5665\/6 + v. Calculate the common denominator of 53\/(-7) - 4\/(-14) and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2 - 4*i + 9. Let y(u) = -u - 1. Determine -a(t) + 4*y(t).\nAnswer: 2*t**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 3)*(3 + 1). Suppose a - 60 = -m*a. Solve a*o = 10*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*i - 14 = 0, -i - 4 + 2 = -3*y. Suppose 0 = -3*a + 15, 0*b - y*b + 9 = a. Factor 2*h - 4*h**3 - 2*h**2 - b + 4 + 2*h.\nAnswer: -2*(h - 1)*(h + 1)*(2*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1439107 or -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 211 and 5.\nAnswer: 1055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.8831 less than -49?\nAnswer: -155.8831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-2)*(-472)\/(-6). Suppose r = -4*n + v, 0 = -2*n + n - 2*r + 33. What are the prime factors of n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149517, 298968, 448359, 597690?\nAnswer: 746961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*q = 51*q + 15120. Let b = q + -5003. Let v = -1546 + b. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f - 4*d + 2, -8*d + 34 = -5*f - 24*d for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19.49? (a) -7\/12 (b) -3\/5 (c) 1 (d) 3 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 166370592 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from pphh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -10 - 15 - (13 + -45).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*v = -49*v. Suppose g - 3*g = 8, v = 2*o + 4*g + 6. Suppose -9 = -q - o. Solve c = -0*c + q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.6 or -6\/6364459?\nAnswer: -6\/6364459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -70*t + 1574. Let s be z(22). Which is the second biggest value? (a) -2 (b) -0.2 (c) s (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 + 5*d**3 - 3*d**3)*(42*d**2 + 152*d - 152*d) - 4*d**5 + 7*d**2 - 7*d**2.\nAnswer: 38*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -24\/5 - 8*a - 18\/5*a**2 - 2\/5*a**3 = 0?\nAnswer: -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 53*a - 3 - 9 + 13 + 9 + 6*a. Is 23 a factor of j(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 3:06 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202554566?\nAnswer: 2, 89, 181, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(180))**2 - (sqrt(5) + 0)*1.\nAnswer: -sqrt(5) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 9:55 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-4\/13)*q))**44*q**(-13)\/q*q\/q**48)**(-30) assuming q is positive.\nAnswer: q**(18510\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8 * 2.9\nAnswer: 23.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -60, -164, -320, -534, -812?\nAnswer: -1160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 25. Suppose -i*f = 2*f - 195. Let o be 6\/f + 94\/(-104). Which is the nearest to 1\/4? (a) 2\/9 (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4612170000 to the nearest 1000000.\nAnswer: -4612000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 183*d - 1898. Calculate g(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21687 + -21670. Solve -4*y + 3*b = 3, 2*y + 15 = t*b - 20*b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 47*s - 1000. Is 10 a factor of h(32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13085, 1\/2, 4\/5, 1 in descending order.\nAnswer: 1, 4\/5, 1\/2, -13085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/23, 2\/9, -1.4182, 1\/2, -0.2?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -226 + 2?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4452008?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4834*h - 24. Let d be p(-1). What is the hundreds digit of d\/(-10) - 222\/(-185)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 3*h = 11, -227*i + 231*i - 22 = h for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 93 = 83. Calculate the greatest common factor of z and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2265 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j + 1. Let p(a) = a**2 - 8*a - 6. Let g(h) = -l(h) + p(h). Calculate g(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 2*n + 14, -d - 2 = -0*d - n. Let u be (((-10)\/d)\/(4\/6))\/1. Let z(f) = 5*f**3 + 5*f. Let q(t) = 5*t**3 + 4*t. Calculate u*q(m) - 4*z(m).\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7024 take away -6?\nAnswer: 7030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12809 is divided by 122.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n**2 + 52*n**4 - 40*n + n**3 + 49*n**4 - 151*n**4 + 51*n**4 in the form f*n + d*n**4 + i*n**2 + y*n**3 + k and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + l + 4*i + 1356, 0 = -4*l - 2*i - 1808. Let o = -383 - l. What is the remainder when o is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 1. Let i = -16 + 8. Let y = -5 - i. What is the biggest value in y, 0.2, f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3318774379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5542 (base 13) to base 14.\nAnswer: 448c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*r - 1. Let a(m) = m**3 - m + 2. Let q(x) = x**3 + x**2 + 1. Let n(s) = -2*a(s) + 3*q(s). Give n(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191673491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0016666347 rounded to six decimal places?\nAnswer: 0.001667","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1778793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 8373*k**3 + 25185*k**3 - 8379*k**3 - 8430*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*k + 5*k. Let x be ((-4)\/10)\/((-2)\/30). Suppose j + 22 = k*a, -x*a - j + 23 = -2*a. Which is smaller: 4 or a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 41 + 272\/(-1 + -15). Solve 0 = 5*z - 10*g + 11*g + v, 3*g = 4*z + 23 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3*(sqrt(98) + -3)*-1 + -3 + (sqrt(98) - (sqrt(98) + -4 + sqrt(98))*1))**2.\nAnswer: -1120*sqrt(2) + 2280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2 + 3*p + 2 - 2*p. Let d(f) = 9*f. Give d(k(m)).\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w - 20*w + 26 = 2*x, -3*x - 3*w = -21 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**3 - 110*q**2 + 1608*q + 11. Calculate x(-67).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102392, -204782, -307172, -409562, -511952?\nAnswer: -614342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o**2 + 3*o. Let t(n) = -n**2 + n. Let g(p) = 2*i(p) - 6*t(p). Let m(b) be the first derivative of 0*b**2 + 0*b - 2 - 4\/3*b**3. Give g(m(r)).\nAnswer: -32*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -4 (c) -46 (d) -1\/21 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2646*c - 1327*c - 1324*c.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73\/4 + -353\/20. Let m be (-21)\/3 + 0 + 1. Let v = -2 - m. Which is the nearest to 0.1? (a) v (b) i (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -9*r**4\/28 - 2*r**3 + 15*r**2\/14 - 25. Factor p(y).\nAnswer: -3*y*(y + 5)*(3*y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 374 - 370. Let c be 0\/1*(1 + 0). Suppose -2*z + 5*o = h, c = -2*z - 3*z - 4*o + 56. Solve u + z = -u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 119564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -r**4\/4 - r**3 - 7*r**2\/2 - 20*r - 1682. What is b(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (2 + -5 - 2) - 4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 100127.5?\nAnswer: 300382.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 1:00 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -59 + 5*s**2 + 60 + s**2 in the form l*s**2 + u*s + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -2. Let j = w - -102. Let d = -34 + j. Does 6 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d - 11. Calculate k(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, e: 1, d: 4, g: 6, u: 1, c: 1}. Give prob of sequence gdd.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21812 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288*c = -178*c - 140800. What is the greatest common factor of 20 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-2))\/(186\/(-496)) - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-9))\/((1\/1)\/((-9)\/9))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -146, -133, -112, -83, -46, -1, 52?\n\"Answer: 4*p**2 + p - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 0*v**2 + 49 + 0*v**4 + 0*v + 0*v**3 + 1\/45*v**5. Let f(w) = 0. What is w?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 8, 21, 32, 35, 24, -7, -64?\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5039 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393254 is divided by 459.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a - 3. Let x(o) = o + 1. Determine p(y) + x(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g - 6. Let x be u(-4). Let l be (-4)\/22 + (-171)\/(-33). Which is smaller: l or x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10578105017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n - 6237 - 1316. Is n a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**3 - 3*x**2 + 4*x - 4. Calculate the least common multiple of 5 and k(2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 712.2, -5\/3, -2 in descending order.\nAnswer: 712.2, -5\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f + 45. Let r be o(-11). Is (-2 + 7 + 732)\/r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 25*w + 1468. Determine s(-28).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -2. Let o be 12\/(-16) + s\/(-4). Suppose -93 = -o*d + d. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 + 17 + 29 + 25 - 803*x**2.\nAnswer: -803*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*w - 4 = 0, 3*l + 0 = -3*w - 42. Let r = 22 + l. Solve 2*a + 4*k + r = 0, 0 = -2*a - 2*k - 6 + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-25)*2\/2*-5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4\/30)\/(38\/817) and 17 + -8 - 371\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from haassasa. Give prob of sequence sh.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -19*x + 57. Let p(a) = -13*a + 38. Let o(b) = -5*f(b) + 7*p(b). Let l be o(10). What is the greatest common divisor of 105 and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 5*i**2 - 6. Let q(m) = -4*m**2 + 5. Let j(a) = -a**2 + 33*a + 324. Let r be j(41). Determine r*l(b) - 5*q(b).\nAnswer: 4*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9.95*-0.1\nAnswer: -0.995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + f - 2513 = -5*d, 2*f - 5*d = 1249. Let r = -115 + f. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3351808 grams to kilograms.\nAnswer: 0.0003351808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -3, -2\/9, 0.1, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12383\/43 + 288. Let z = 91\/215 - n. Do z and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/3 - 31*b**2\/3 - 71*b - 111.\nAnswer: (b - 37)*(b + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - y + 1. Let o(b) = -2*b + 6 - 2*b - 13 - 3*b**2 + 7 - 1. What is o(i) + x(i)?\nAnswer: -2*i**2 - 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2442*l**2. Let o(z) = 12*z. Determine y(o(f)).\nAnswer: 351648*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m**4 - 134*m**3 + 674*m**2 - 210*m = 0.\nAnswer: 0, 1\/3, 7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 6180254?\nAnswer: 3\/6180254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**3 - 13*g**3 + 589*g**2 + 19*g**3 + 297*g**2 to the form a*g**3 + s*g + k + o*g**2 and give o.\nAnswer: 886","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13 - 1860\/(-144))*-16. What is the nearest to 0.3 in 0.13, -0.1, 1\/9, p?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329*t + 3202 + 3279 + 2481 = -9791 for t.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 138 - -21. What is the remainder when c is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/41 and 76\/250503.\nAnswer: 10270623","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13943707 + 11.\nAnswer: -13943696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -32.3. Let f = -0.21402 + -2.08658. Let l = f + z. Round l to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2798*-0.08\nAnswer: -0.022384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**5 - 5*d + d + 6*d**5 wrt d?\nAnswer: 140*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 791107738 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g - 2. Let i be v(5). Let d = -18 + 20. Solve 0 = -i*o - 13 - d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -16737218.\nAnswer: 2\/8368609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2189*x - 975*x**2 - 3 - 2189*x - 3.\nAnswer: -975*x**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a meter in millimeters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - 2) + -25 + 25?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 - (-312 + 286 + (0 - -2))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**2*p**3 + 4*h**2*p - 4*h**2 - 110*h*p**3 + 41*h*p**2 wrt p?\nAnswer: 12*h**2 - 660*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}