diff --git "a/data/dm_maths/full_data/1915_11255.jsonl" "b/data/dm_maths/full_data/1915_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1915_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Rearrange -2 - 2 + 30*u**2 + 1 - 13*u**2 to s*u**2 + m + c*u and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + d - 4. Let o be b(-3). Let p(l) = 2*l - 4*l + l + o*l. Let r(w) = 4*w. What is r(p(y))?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3225.32*4\nAnswer: -12901.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/50*(-10)\/(-3).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**4 - 311565*u**3 + 4858152000*u**2 - 140624503780*u = 0 for u.\nAnswer: 0, 29, 31142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.352 + 133?\nAnswer: 133.352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 93 = -4*g. Suppose -4 + g = 2*y. Let c be 2\/(-4)*18*2\/(-1). What is the greatest common factor of y and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 69*t - 255. Let r be x(12). Let p = r - 568. Which is the closest to -1? (a) -0.7 (b) p (c) -0.4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-396)*12*27\/36\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 177173029481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, t: 1, j: 7, p: 2, h: 7}. Give prob of sequence hb.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 8:29 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -204 (base 9) to base 3\nAnswer: -20011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 288945751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, z: 1, y: 2, m: 1}. What is prob of sequence mz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d**3 - 7*d**2 - d + 2. Let t(l) = l**3 + l**2 + l + 1. Let x(u) = -j(u) - 2*t(u). What are the prime factors of x(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/3 in 1\/7, 2\/7, -91\/61?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/16*4)\/(((-660)\/(-36))\/(-11))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**4 - 2*b + 2*b + (-6*b - 11 + 11)*(6*b**3 + 2*b**3 - 4*b**3) + (b - b - 9*b)*(0*b + 0*b - 2*b**3).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 324280 a multiple of 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 158 - 137. Suppose 6*i - p = -3. Solve 10 = -x - 0*j + i*j, -x - 5*j + 6 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8594.458mg in nanograms?\nAnswer: 8594458000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -419*u - 11583 + 28762 for u.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -12, 25, 5, -102, 1, 15 in ascending order.\nAnswer: -102, -12, -4, 1, 5, 15, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -5*l**2 - 10*l - 13. Let w(t) = 6*t**2 + 11*t + 15. Let d(v) = 5*p(v) + 4*w(v). Determine d(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7219 + 11453. What are the prime factors of g?\nAnswer: 2, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2320 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**4\/11 + 16*p**3\/11 + 278*p**2\/11 + 524*p\/11 - 816\/11 = 0. Calculate p.\nAnswer: -6, -4, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 21 = j + 6*t, 3*j - 2 = -2*t. Find the third derivative of -3*z**2 + 2*z**2 - 3*z**4 + z**j + 0*z**2 wrt z.\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55 + 54.973. Round v to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a litre in millilitres?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 5*d + 399 - 415, 4*d - 17 = r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.5762285 rounded to one dp?\nAnswer: 38.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 19740?\nAnswer: 19740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -81, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*l - 235 = 20*l + 1223 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from bssssssssssssbbbbs?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l. Let j(a) = -40*a. Calculate u(j(h)).\nAnswer: -160*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-2))\/((-16)\/(-32)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 602 bigger than 422498\/701?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k = 14*k - 30 - 230 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -168, -2, -1, -3, 11, 2 in descending order.\nAnswer: 11, 8, 2, -1, -2, -3, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*-1*(1 + -1). Let x = 284\/231 - -16\/33. Determine v so that x*v**2 + z + 4\/7*v - 20\/7*v**3 + 16\/7*v**5 - 12\/7*v**4 = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -2*g**5\/5 - 7*g**4\/4 + g**2\/2 + 143*g + 372. What is the second derivative of m(n) wrt n?\nAnswer: -24*n**2 - 42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -10*v - 1. Let w be 1\/((5\/1695)\/(-1)). Let u = -338 - w. What is b(u)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -c**5\/20 + 5*c**4\/12 - c**3\/6 + 3*c**2 - 5*c. Calculate q(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k + 0*k - k)*(-6 - 7 - 4)*(4 - 1 + 3)*(0*k + 0*k - k**2).\nAnswer: 408*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37354 and 273274.\nAnswer: 1966","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5547*w**2\/2 + 58050*w - 303750.\nAnswer: -3*(43*w - 450)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 184787*o - 554368. Give v(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1*(3 - 1) + 0 + -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -114*s. Let f(u) = -673*u. Let w(n) = f(n) - 6*k(n). Let m(j) = 3*j**2 + 1. Calculate m(w(y)).\nAnswer: 363*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 58 - -24?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/316 equal to -1009?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/20*(-20544)\/288 and (-12)\/200*218\/6.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -730681 (base 9) to base 15.\nAnswer: -8870a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -621183+0.5\nAnswer: -621182.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31*o - 5*o + 56*o**2 - 35*o**2 + 3*o**3 + 10*o.\nAnswer: 3*o*(o + 3)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -6 (b) -31.9 (c) 3979\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v**3 + 80*v**2 + 28*v - 25. Let z be y(27). Solve -z*m + 15 = 3*s, -m - 2*m + 5*s = 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33524080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 148758757*h**2 - 23*h + 6255891?\nAnswer: 297517514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4\/9 (b) -1\/45 (c) -0.148 (d) -1\/2 (e) 6\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -180436, -180526, -180616, -180706, -180796, -180886?\n\"Answer: -90*k - 180346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 1024 - 309 = 0. Put 1, 0, r in ascending order.\nAnswer: 0, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 - 6520*j - 2125520.\nAnswer: -5*(j + 652)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/5 + 11229*n\/5 - 11228\/5.\nAnswer: -(n - 11228)*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*o**2 - 91*o**2 - 123*o**2 + 308*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2277 + -1 + 3 + -4 + -4. Suppose 5*q - 10267 = z, 1839 + d = 2*q - 2*z. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 810835 greater than or equal to 810834?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 545036.\nAnswer: 2, 89, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/(-5)*1960\/(-4760)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 + 0*i**3 - 5*i**3 + 2*i - 63 + 70. Is m(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 146.352 to 1 decimal place.\nAnswer: 146.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o + 3. Determine f(7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -1451, -3744, -6967, -11126, -16227?\nAnswer: -22276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 + -28. Let a be (-3)\/15 - (-112)\/f. Is 682 - ((a - 4) + -4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51655 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 6) + (9 - (-6 + 2 - -5))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 5*k + 6, -g + 0*g + 2*k - 3 = 0. Let w(m) = m + 6. What is the smallest common multiple of w(4) and (5 + g)*-1*-2?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-968)\/(-1584)*10*(-56)\/(-385).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 6*u**2 + 15*u - 155. Let v(x) = 5*x**2 + 11*x - 154. What is 3*q(r) - 4*v(r)?\nAnswer: -2*r**2 + r + 151","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1096083426*4.\nAnswer: 4384333704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 2*n**2 + 28*n - 20. Let r be a(6). Suppose -r*b = -l - 2024, -5*b + 7*l - 9*l = -2530. What are the prime factors of b?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09149 rounded to three decimal places?\nAnswer: -0.091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81.06*0.2.\nAnswer: 16.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5163.606 hours to seconds.\nAnswer: 18588981.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 5*z - 5. Suppose 16*u = -21*u - 148. Give k(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*h - 9365, 2*l + 3745 = 4*l - h. Let b = -958 + l. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 78 * -1.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 23*d**3\/6 - 14*d**2 - 3*d. Let w(y) = 12*y - 14. Let b(s) = 3*a(s) - 7*w(s). Find the first derivative of b(h) wrt h.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.37289 rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 119706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/10393 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 249 + 113 = 4*p, 0 = -p + 3*j + 78. Is p a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eepg when four letters picked without replacement from prjbbregreerje?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1661118202 a multiple of 404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 10:32 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1195*c - 7*x + 24 = -1190*c, 3*c - 2*x = 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 87544663*p - 588957940?\nAnswer: 87544663","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/2 (b) -0.1 (c) 2\/3 (d) -0.4593 (e) -2 (f) 2\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 4*t**2 - 3. Let c = 18 - 0. What is the remainder when p(6) is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -12, 4, 29 in decreasing order.\nAnswer: 29, 4, 2, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/24 + 35\/28?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12633 + 88437\/7. Which is the nearest to 1\/3? (a) 2\/7 (b) -11\/12 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 119768310?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, -271008, -5 in decreasing order.\nAnswer: -5, -45, -271008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -110 + -14. Let i = o + 178. Calculate the greatest common factor of i and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x*(x\/(x**(-1\/9)*x))\/x*x**4)**(-21))**50 assuming x is positive.\nAnswer: x**(-19250\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2) + (-66)\/(-99)*(-162)\/8.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 687*a - 24. Let t be u(0). Let y(f) = -f**3 - 23*f**2 + 27*f + 78. Give y(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0153462 rounded to three dps?\nAnswer: -1.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 193, 350, 549, 790?\nAnswer: 1073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w + 0 + 2*w**3 + 2 + 0*w + (-3*w**2 + 6*w**2 - 5*w**2)*(14*w - 29*w + 167*w) to k + f*w**3 + b*w + v*w**2 and give f.\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q + 4. Let p be j(-2). Let k be -3 - (p + (-39)\/9). Sort 5, 0.4, k in ascending order.\nAnswer: 0.4, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4196 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5861453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 7*f - 33. Suppose 4*g - 18 = -4*b + 5*b, -f*b - 10 = 0. What is the closest to g in -0.2, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -1. Let h = -0.695 + 0.195. Sort h, -4, w in increasing order.\nAnswer: -4, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 35 = -3*j, 5*j = 5*q + 3*j - 38. Suppose -6*i = 3*i - q*i. Suppose 0 = -w + z + 7, 24 - 2 = 2*w + 2*z. Solve i*d - w = 3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 (base 5) in base 8?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of t**5\/20 + 3*t**4\/4 + 7*t**3\/3 + 8*t**2 + 2*t - 7. Calculate the remainder when 125 is divided by b(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*f - 14. Let k(p) be the third derivative of -p**5\/60 - p**4\/4 + 7*p**3\/6 - p**2. What is the remainder when k(-6) is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421.3879 times -3?\nAnswer: -1264.1637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -58, 153, 69, 5, 2.\nAnswer: -58, 1, 2, 3, 5, 69, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3634311 is divided by 30035?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.3? (a) -2 (b) -2\/7 (c) -0.2347\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -154*j**2 - 16*j - 9. Let p(a) = 77*a**2 + 7*a + 4. Determine -4*m(u) - 9*p(u).\nAnswer: -77*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31357843 + -53992157. Round j to the nearest one million.\nAnswer: -85000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r + 2020*k = 3*r + 2018*k + 236, -200 = -2*r - 2*k + 24 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 + (15 - -2 - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3609 - -3611. Solve 20 = 4*g - h*c, g + g - 3*c = 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*g + 106 - 27, 4 = x + 4*g. Suppose 0*u + x = 4*u. Suppose -u*v = 4*b - 12, -2*b + 4*v + 7 = -5. Does 2 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3800 - -3815. Which is the fourth biggest value? (a) p (b) -0.3 (c) -31 (d) -1 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/30*(2 - -28). Suppose 5*x - 8 = m. What is the second derivative of j**5 - j - x*j + 4*j wrt j?\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 6*f + 2. Let v be t(6). Let i(r) = -2 - 9 + 2*r**v + 5*r + 17 + 0*r. What is the tens digit of i(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 864675 to the power of 1\/3, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 10 = 66. Let l(a) be the second derivative of 0*a**3 - c*a + 0*a**2 + 1\/4*a**4 + 0. Factor l(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 8:50 AM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 6*a - 3. Solve 0 = -2*u + 5*k + 8, -2*u - a = -4*k - 11 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - i + 3*i)*(3*i**2 + 0*i + 0*i)*(-451 - 419 - 30 + 315).\nAnswer: -1755*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (sqrt(5) - 4*(sqrt(5) + (-3*sqrt(5) - sqrt(5)))) - (sqrt(5) + (sqrt(125))**2)*-6) + -4.\nAnswer: 20*sqrt(5) + 746","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1243 (base 5) to base 3.\nAnswer: 21100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -58 <= 19696\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 2, -2, 6\/35, 0.5 in descending order.\nAnswer: 2, 0.5, 1\/3, 6\/35, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38052 - -3767180\/99. What is the common denominator of y and -97\/330?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92277?\nAnswer: 3, 10253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3975, 5, 1\/2, 4, 0, 18 in descending order.\nAnswer: 3975, 18, 5, 4, 1\/2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 7. Let o(n) = n**3 - 4*n**2 + 3*n - 6. Let s be o(4). Suppose 3*a - 2*a = -5, 2*v = 4*a + s. Let p(g) = -g**3 + 5. What is v*p(h) - 5*t(h)?\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/1546 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*i + 68*i - 176. Suppose -5*m = -2*w - 146, 43 = 5*m + 3*w - i. Solve 5*g = 2*j - m, 0*j = -4*g - 2*j - 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -20*n**2 - 240*n + 16. What is the least common multiple of 68 and h(-12)?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*r**2 + 59*r**2 + 12*r**2.\nAnswer: 100*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 54920\/(-952) - (-4)\/34. Let o be (-2)\/7 - 3636\/63. Let h = m - o. Which is the closest to 1? (a) -1 (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 92*x - 4*x**2 - 92*x. Let l(w) = -4*w. What is l(a(n))?\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**2. Let q(u) = -11*u**2 - 3. Let o(h) = 144*h**2 + 40. Let z(x) = -3*o(x) - 40*q(x). Determine m(z(t)).\nAnswer: 192*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*v + 0 + 44 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.6172 + 0.5828. Which is the second smallest value? (a) 2 (b) -3 (c) -0.7 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1771541351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + -2*sqrt(5) - (4 + sqrt(125))).\nAnswer: -4 + 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 39*i**2 - 30*i + 324. What are the prime factors of z(18)?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4752 and 142768.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-3) + (-572)\/(-78). Suppose 671 = -y*w + 4877. Does 39 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 278131*a**3 - 278155*a**3 - a**4 + 2*a + 2*a**2 - 2 - 7*a**4 as g*a**2 + d*a**3 + t*a + o*a**4 + h and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*k**5 + 4*k**4 - 2*k**3 - 24*k**2 + 4*k.\nAnswer: 960*k**2 + 96*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*t + 12*t - 9*t as f*t + j and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -c**6\/720 - c**5\/30 - c**4\/3 + c. Let t(u) be the third derivative of d(u). Let n be t(-6). Solve n*v + 16 = -2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -g + 86, 0*g + k + 86 = g. Suppose -5*v = -5*b - 2*v + g, 5*v + 58 = 3*b. Solve -5*i - b = -6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-141)\/(-15) + -9 - (-57)\/(-10) and -89\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 39.09679 kilograms?\nAnswer: 39096790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -4*u - 6749, -2*a + 15*u + 4506 = 19*u. What are the prime factors of a?\nAnswer: 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.45 - 19.05. Which is greater: -1\/4 or y?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + -135619?\nAnswer: -135618.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3114*p - 5854. Determine g(-2).\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/15*-1*(-2)\/2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 124.442682 hours in weeks?\nAnswer: 0.74073025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -23. What is the tens digit of (78\/10)\/(r\/(-65))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11670000 rounded to the nearest one hundred thousand?\nAnswer: 11700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + (-3 - 0))*-2. Let i = k - 5. Suppose i*b - 17 = 22. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -6*c + 5*r + 473, 5*c = 5*r - 2425. Let x be 4\/(-2) - c\/(-7). Let h = x - -82. Calculate the highest common factor of h and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*s + 25*s - 73*s + 30*s.\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*m + 45. Let r = m + 12. Calculate the least common multiple of r and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-112)\/(-21)*(-3)\/(-4). Suppose -l - 4*m = m - 1375, p*m = -l + 1371. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/((-18)\/27*18\/(-6564)) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17531 - -41397. What are the prime factors of f?\nAnswer: 2, 11933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u = -7*u - 48. Let a(g) = 26*g**u - 27*g**3 - 4 - 10*g**2 + 15*g**2. Calculate a(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - sqrt(91)\/(sqrt(7) - sqrt(7)*2)) + sqrt(13) + (sqrt(468) + sqrt(13))**2*1 + (-1*sqrt(1053) + 1 + 2)**2.\nAnswer: -51*sqrt(13) + 1699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**4 + g**3 - 1 - 2*g**2 + 2*g + g**3 + g**2 + 0*g**2 in the form n*g**4 + o*g**3 + c*g**2 + w*g + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 246\/335?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -693*o**3 + 87*o**2 + 1. Let x(g) = g**3 + 2*g**2 - 1. Let m(v) = -i(v) + x(v). Find the third derivative of m(w) wrt w.\nAnswer: 4164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 81 - -10. Let s be (o\/14 - (0 - -4))*2. Put -15, s, -5 in decreasing order.\nAnswer: s, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*h - h = 0. Suppose 0 = 5*o - 6 - 9. Differentiate -2 - 2 - o + h - 10*y with respect to y.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 366788 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 3.1178680866699.\nAnswer: -2.8178680866699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -0.066.\nAnswer: -0.0264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -397 + 394. Let h be (-2)\/r - -4*(-4)\/(-12). Solve -12 + h = -5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 303343 + 12?\nAnswer: 303355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 279110 and 7681966?\nAnswer: 4294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.4 + 1.413. Let y = p - -5.187. Let g = 5 - y. Are g and 0.2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 1\/4*q**5 + 3\/8*q**4 + 0 - 21*q - 33\/2*q**2 - q**3. Let n(f) be the first derivative of h(f). Suppose n(v) = 0. What is v?\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 6)\/(1 - -1). What is the units digit of 2 - (r + -2)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2024 and 7337?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(-12) + (-8950)\/(-9000). Does -1 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332712.\nAnswer: 2, 3, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100257552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56285 is divided by 647.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.250004 - 0.25. Round c to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r = -8*r - 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -6*i**2 - i. Suppose -3*x = 5*c + 1, -4 = 6*c - 10*c - 4*x. Let a(y) = -31*y**2 - 6*y. Calculate c*a(k) + 11*v(k).\nAnswer: -4*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(-58*g**3 + 4550*g + 60*g**3 - 1631*g).\nAnswer: -4*g**3 - 5838*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -u**5\/5 + 11*u**4\/16 - 5*u**3\/6 + 3*u**2\/8 + 2. Solve x(v) = 0 for v.\nAnswer: 0, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1125*u - 836*u - 1075*u + 3038*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5791510, 11582992, 17374452, 23165890, 28957306, 34748700, 40540072?\nAnswer: 46331422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 55*l + 181. Is j(9) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 546 is divided by ((-90)\/(-540))\/((-1)\/(-114)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 1584\/60 - 10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7708949\/50 or 154178?\nAnswer: 154178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/98058 and 79\/74222?\nAnswer: 61678482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i - i + 0*i)*(11277*i + 63035765 - 63035765) + 2*i**2 + i**2 - i**2 to u + y*i**2 + a*i and give y.\nAnswer: 22556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - ((-382314)\/2 + 1) - (17 - 23) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 0.4, -10, 63\/22, 82 in increasing order.\nAnswer: -10, -1, 0.4, 63\/22, 5, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 17*v**2\/2 - 2. Let o(t) be the first derivative of 1 + 0*t + 1\/2*t**2. Give h(o(q)).\nAnswer: 17*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, x: 1, f: 2}. What is prob of picking 1 x and 2 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44347500 by 151875.\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 0, -278, -556, -834?\n\"Answer: -278*b + 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*f**2 - f + f.\nAnswer: 114*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.928? (a) -0.115 (b) 1.38 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n**2 + 157*n - 489. Give w(-43).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**3 + 0*s**3 + 0*s**3)*(52821 - 760*s - 52821).\nAnswer: -2280*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w = -5*w + k, -w + 5 = 3*k for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 5*i - 4. Let b be m(2). Find u, given that 4*u + 5 - b*u + 2*u + 3 - 4*u**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -26007945170\nAnswer: -26007945171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 1 (c) -6 (d) 2\/3 (e) -0.5 (f) -1315\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, 131, -2\/21, -0.4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45*n**4 + 372*n**3 - 1703*n - 1.\nAnswer: -540*n**2 + 2232*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-286)\/(-44))\/(9672\/(-12648)).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(40\/48))\/(28\/70)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wswsswsows. Give prob of picking 2 s.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 193 + 97 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4168 or -3047?\nAnswer: -3047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 7*y**2 - y + 12. Calculate z(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18560795117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(-10 + 2)*-74?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**2. Let l(c) = 1426*c - 698*c + 7393*c + 2111*c. Give l(n(s)).\nAnswer: -20464*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 906.4473 seconds to milliseconds.\nAnswer: 906447.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 11:13 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 6*v - 254. Let w be o(48). Calculate the highest common divisor of 17 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000927 rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -851054790 < -851054788?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -22010133301 (base 4) to base 9\nAnswer: -4863174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 198 - 194. Let n(y) = 334*y**3 + 6*y**2 - 2*y + 5. Is n(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k + 2644 - 2644 - k. Let t(c) = -79*c**2. What is t(q(z))?\nAnswer: -79*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55*d**3*y**2 + d**3 - 104*d - 3*y**2 + 18 with respect to y.\nAnswer: -110*d**3*y - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28171*p**3 + 82086*p wrt p?\nAnswer: -169026*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 0.317, 0, 4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 6*d**2 - 6*d - 20. Let t be l(-6). Let v be (t\/(-64) - (-3)\/(-4))\/1. Let n = -1 - 4. Which is the nearest to v? (a) n (b) 2\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 9*i + 8. Let k be (-1 - 3) + -5 + 2. Calculate the remainder when y(k) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cbi when three letters picked without replacement from fcbcobbhbifo.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8538760 divided by 20?\nAnswer: 426938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 2*b**2 + 4*b - 3. Let s be p(2). Suppose -2*g + 14 = -4*q, 4*q - 4 = s*g - 27. Suppose g*t + 0*t = 27. Is t 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 10:21 AM and 10:01 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 42 = 2*y. Suppose 3*u + 19 = 4*j, -3*j + 47 = 2*j + 4*u. Let x(k) = 2*k - 2. Calculate the least common multiple of x(j) and y.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (330\/50 + -6)*123\/6 and 59\/28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (477\/30*12)\/((-18)\/(-405)) a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/16*8 - (-4 + 460\/45))*-3. Let l*v**2 - 22\/3*v + 0 = 0. Calculate v.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14, 27, 48, 77, 114?\n\"Answer: 4*n**2 + n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b - 3*b - b + 1. Let k = 7 + -8. Let h = -2 - k. Determine x(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 4*a**2 + 30*a - 34. Is s(21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36166247.\nAnswer: 13, 2782019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 30602872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 divided by -5?\nAnswer: -249\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 138339038, 276678075, 415017112?\n\"Answer: 138339037*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 42\/5 of a milligram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3889 - -7033. Let c = u + -1315. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/7)*k*k**(4\/5)\/k*k)**(-23\/6) assuming k is positive.\nAnswer: k**(-1219\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 5*w + 55 = g, -4*w = -2*g + 140. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45*b*d**4 + 2*b*d - 27*b + 2*d wrt d?\nAnswer: 540*b*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28387 rounded to the nearest 100?\nAnswer: 28400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2176 - 115. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 65? (a) -0.86 (b) 5 (c) -2\/9 (d) 0 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -0.0906040094\nAnswer: -0.0906040094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.007 - 0.007. Which is the third smallest value? (a) 5 (b) -14 (c) -2\/5 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 6:47 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -2\/105 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 161478 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.16*-206.8763\nAnswer: 33.100208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 313053\/(-3141)*(-12)\/(-26)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 116647705?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122 - 11112102000?\nAnswer: -11112102122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*s - 7. Factor -15*z + 78*z**2 - 5*z - 73*z**s.\nAnswer: 5*z*(z - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -596 - -599. What is the smallest common multiple of 42 and x?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2987414.\nAnswer: 2, 47, 61, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/33)\/((-10)\/(-6))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1373019974 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/9 + 5\/9. Let x = 3 + 2. Let w be 2\/(((-64)\/(-12))\/(-8)). What is the nearest to k in w, 4\/7, x?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -0.045.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1916480, 1916492, 1916504?\nAnswer: 1916516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 675608.7 milliseconds?\nAnswer: 675.6087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-160)\/(-180)*(-1)\/4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 228.6001007 - 228.6. What is r rounded to 6 decimal places?\nAnswer: 0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8493448 and 24?\nAnswer: 25480344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39676278.\nAnswer: 2, 3, 2053, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 - 39. Let x(v) be the second derivative of -2\/5*v**2 + w*v**4 - 1\/50*v**5 + 1\/5*v**3 + 0 - 3*v. Find c such that x(c) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 4*j = 21, 10*v - 2575*j - 34 = -2579*j for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2822800 to the nearest one hundred thousand.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4*sqrt(80).\nAnswer: -16*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -i + h, 43 - 9 = i - 3*h. Suppose -3*b = 2*q - 98, i = 4*b + 6. What is the remainder when q is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54 - -55. Let l = 1.84 - 0.04. Let c = -2 + l. What is the second smallest value in c, -2, w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 9876235.\nAnswer: 9876235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.59663 months to years.\nAnswer: 1.3830525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.7 and -0.6656.\nAnswer: 0.0344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -294517 plus -0.1?\nAnswer: -294517.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/9 + (-74)\/(-333)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 15450512 divided by -7\nAnswer: -2207216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, 0, -5 in decreasing order.\nAnswer: 6, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 91123.54 kilometers in micrometers?\nAnswer: 91123540000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -12 + (-126)\/(-7) + 22. Solve -5*n = -h + 3 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -710 - 64b?\nAnswer: -105b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 3*t + 4. Let a be r(3). Suppose -z - 102 = -a*z. Suppose -4*j + 20 = 0, -j + z = 2*m + j. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2769 + -2766. What is the closest to 1 in -2, p, 1\/5, -30?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5574 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2050\/111 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 62, 65, 68, 71?\n\"Answer: 3*b + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 + -46. Suppose 0 = 3*p - 3, 0 = w*c - 2*p + 5*p - 180. Suppose -c = -2*f - 5*x + 310, f = 4*x + 191. List the prime factors of f.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z**3 + z. Let j be l(-1). Which is the nearest to 1? (a) -1 (b) 0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) -1\/13 (c) 221 (d) -0.4 (e) 178\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3974 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 4:34 PM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35025\/7 + -4995. Determine x so that 66\/7*x**4 + 2\/7 + r*x**2 - 18\/7*x - 18\/7*x**5 - 92\/7*x**3 = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 2*z - 108, -r + 3*z + 81 = -32. Solve 99*p - r*p + 2 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -75, -529 in increasing order.\nAnswer: -529, -75, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 476 and 36533.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-9 - -4 - (-34 - -25)) - 1 - 39.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + 2. Suppose w - f = -2*q, 40 = 3*q + 2*q + 5*w. Calculate the least common multiple of q and 24\/10 + -2 - (-184)\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2323 (base 4) to base 2.\nAnswer: -10111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y - 4. Let z be w(6). Let u be -6*((-145)\/(-2))\/(-5)*z. Let b = u + -96. What are the prime factors of b?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-18)*(-15)\/2 - (-3262)\/(-7). Which is the smallest value? (a) 1\/8 (b) v (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15\/2, -0.178, 2\/7?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wvvvwvvwwvwvvvpwpw. Give prob of picking 1 v, 2 p, and 1 w.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-6))\/((-18)\/(-81)). Let m be 4\/6*45\/6. Suppose -2*y - 2*z = -m*z - 38, 0 = -4*y + n*z + 64. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 593 divide 19120692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02 to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -11) + -3 - (1 + 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-18)*(-8)\/(-6)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34940 (base 10) to base 11.\nAnswer: 24284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -505*s - 428. Determine b(-1).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4317 + 4370. Let n(z) = -z**3 + 5*z**2 - 2*z + 3. Calculate the remainder when t is divided by n(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 4*i - 4. Let r(p) = -3*p - 3. Let y(m) = 3*h(m) - 4*r(m). Let a(d) = 4*d - 9*d - 3*d. Give a(y(g)).\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/6*92\/9867.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 897 - 806. Let g(l) = l**3 + 4*l**2 + 2*l. Let b be g(-3). Suppose -b*n - 7 + x = 0. What is the remainder when 100 is divided by n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**10)\/b**(-2\/17))**(11\/7)*(b**6*b*(b**1*b)\/b*b*b)**(-30) assuming b is positive.\nAnswer: b**(-4803\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5231 - 15626 = -385*u for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ql when two letters picked without replacement from uqwzzzqllml.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 7 = 3*y, 0 = -4*y - 2*n - 2*n - 24. What is the closest to 1\/5 in 1, y, -3\/8, -0.5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 158, 1609, 6 in decreasing order.\nAnswer: 1609, 158, 6, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1790.001093 - 1790. What is p rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -44. Let v = 3 + s. Let w = v - -58. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37576334 to the power of 1\/2, to the nearest integer?\nAnswer: 6130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 c, and 1 k when three letters picked without replacement from rcikcccc?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 12*i - 5*i - 7*i - 25*i. Let y(w) = 13*w. Calculate -6*x(z) - 10*y(z).\nAnswer: 20*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*q + 30 - 10 = 0, -23 = -2*t - 5*q. Solve 4*j - i = -5*i - 4, 5*i = 4*j + t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6137590709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4*335.069\nAnswer: 1340.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 73 = -h, 5*i - 136 - 10 = -2*h. What is h rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 114377 + -3?\nAnswer: 114374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.11 + 2.91. What is g rounded to one decimal place?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*s - 79, 33*y - 30*y - 3*s - 255 = 0. Let t = 6 + 2. What is the greatest common divisor of t and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -68\/9751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.4279 to zero dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i - 554*i**2 + 552*i**2 - 7 + 7 - 4*i**3 in the form y*i**2 + k*i**3 + u + z*i and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 1 = 2*y, -3*y - 3*l + 5 = -5*l. Is y*2*(-705)\/(-30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/54)\/(1\/(-183)). Suppose 0*m - m + l = 0. Let b = m - 5. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 + -37. Suppose -27*b + n*b = -848. Suppose -3*u = -y - b, -2*u - 4*y + 77 = -41. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**2 - 44109*p - p**2 - 517*p**3 + 43935*p wrt p.\nAnswer: -3102*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 3*b + 24. Let s be (2\/(-4))\/(b\/(-16)). List the prime factors of -1 + 34 + 4\/s.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-24) - 1\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**32*g)\/g**(-5\/8) assuming g is positive.\nAnswer: g**(269\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -1 - 3 - (-18 + 20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 509, 1215, 2151, 3317, 4713, 6339, 8195?\nAnswer: 10281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03079, -4, -2\/11, 0.9, -9.8 in decreasing order.\nAnswer: 0.9, -0.03079, -2\/11, -4, -9.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*o - 12 = -17*o, 5*p + 9 = 4*o for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 97*j - 22*j - 32250. Which is smaller: j or 432?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1509522 and 34671.\nAnswer: 2667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 6 = -3*h, 5*h - 11 = 2*w + 2*w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*24\/(-18)*(-1)\/(2\/(-9)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48907*p**2 + 22646*p**2 + 23468*p**2)*(-p + 0*p - p)*(p**2 - 4*p**2 + 2*p**2).\nAnswer: -5586*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 8353*z**4\/12 + 19*z**3\/3 - 10*z**2 - 5*z + 159. What is the second derivative of b(r) wrt r?\nAnswer: 16706","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 + 2*j**3 - 3*j**3)*(-2*j**2 + 3*j**2 + 0*j**2) + 7*j**5 + 44*j**2 - 44*j**2.\nAnswer: 8*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1138 divided by 1\nAnswer: 1138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 r when two letters picked without replacement from {r: 3, u: 2, c: 1, s: 2, h: 4}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**3 + 1052298*x**2 + 22099581*x = 0.\nAnswer: -21, 0, 350787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*w - 10*w + 16*w)*(-3 + 5 + 0) to f*w + m and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/sqrt(2) + -4)**2 - (sqrt(1872) - -2*sqrt(1872))**2.\nAnswer: -16819 - 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218773871 is divided by 216?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-10) + 915\/75. Solve 0 = -h - 2*h + b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 40.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from qqqqqqqxqxqx?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s + 0*s - 3*s + (-4 + 2 + 3)*(0*s - 4*s + 2*s) - 5*s + 2*s + 0*s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -0.0799\nAnswer: 0.2397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f + 7. Let n(i) be the second derivative of -i**3\/6 - 359*i. Give -2*n(l) + z(l).\nAnswer: -2*l + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2358.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 2:36 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - j = 4. Let z = -183157 - -183157. Put z, j, 5, 6 in decreasing order.\nAnswer: 6, 5, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 2, s: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*s - 363 = 174 - 33 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 21 = -2*a + q, -q + 14 = a. Calculate the highest common factor of 5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5*(sqrt(21)\/(-2*sqrt(252)) + sqrt(24)\/(sqrt(8) - sqrt(400)\/sqrt(2))).\nAnswer: -3 - 5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13349\/4 - -3362. What is the common denominator of z and -45\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*l**3 - 1 + 0*l**2 - 23*l**2 - 9*l**3 + 6*l**3 - 3*l**3 + 2*l**3 + (-l**2 + 4*l**2 - l**2)*(-2*l + 7*l - 3*l).\nAnswer: 7*l**3 - 23*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(-f - 2*f + f) - 864*f + 454*f + 9 + 546*f.\nAnswer: 134*f + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9 - -25 - 34)\/(-2). Let x be (18\/(-290))\/(-3)*2. Which is smaller: x or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -7*r**5\/5 + 2*r**3\/3 - 5*r + 2. Let b(o) = -4*o**4 + o**2 - 3. Let c(a) = -10*b(a) + 6*y(a). Factor c(h).\nAnswer: -2*h**2*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 615 and 170437?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, 3, -15\/8, 1\/5, 273?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41494 is divided by 6911?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144 divided by 2.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + (sqrt(475) + 4 - sqrt(475)) + sqrt(475) + (sqrt(475) - (-5 + sqrt(475) + -3)) + sqrt(475) + -5)**2 + 3.\nAnswer: 700*sqrt(19) + 9748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 5*r - 18, -4*i - 5*r + 63 = -3. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-9)*18\/2. What is the closest to 0.1 in z, -5, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -2) + -54 - (46 - (66 + -21 + -11)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(304)*1 - sqrt(304))**2 + ((sqrt(304)*-2 + -1)**2 - sqrt(304)) + sqrt(304) + 1*(-1*sqrt(304))**2 + 3.\nAnswer: 16*sqrt(19) + 1524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.09 and 166002719959.\nAnswer: 166002719961.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1720 + 1691 + 14*t**2 - 6869 + 1734 + 1724.\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - -3 - 5) + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231.8428kg to milligrams.\nAnswer: 231842800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -31. Let v = -15.026 + -0.174. Let l = v - q. Which is bigger: -2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-14)\/(-21)*5235\/10?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 1. Suppose -j + 63 = a*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*d**2 + 3*d**2 + 0*d**2 - 11*d**4 - 5*d**2 wrt d?\nAnswer: -264*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 185355987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 123*h - 224. Let n(d) = 31*d - 59. Let y(x) = -23*n(x) + 6*w(x). Let v(b) = 62*b + 32. Determine -5*v(u) + 12*y(u).\nAnswer: -10*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34187, -68372, -102557, -136742?\nAnswer: -170927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of 2\/3*z**3 + 0*z + 3*z**2 + 0 - 1\/12*z**4 - 1\/10*z**5. Factor p(c).\nAnswer: -2*(c + 1)*(3*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 divided by -7?\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*v = -c - 250, 3*v = -c + 58. Let g(z) = -11*z**2 + 3*z**3 - 53 - 16*z + 0*z**2 + c. Is g(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2108999?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 739 (c) -0.12 (d) -0.07 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/200 and -109\/131144?\nAnswer: 3278600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -8*s - 4. Let g be q(-8). Suppose 7*o - g = 4*o. Suppose o = 3*d + 2*d. Sort -0.4, 0.4, d in increasing order.\nAnswer: -0.4, 0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -82757641.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (13 + -31 - 3 - -67).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*f - 4*u - 0*u, -f - 3*u = 2. Let d = -8875 + 8870. Is f smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*x**3 + 13*x**2 + 247*x - 2.\nAnswer: -120*x + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 0 + 5 - 2*w - 9*w + 15*w + w. Suppose 5*a - 1 = -2*m + m, -5*m - 5*a = 15. Determine f(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 21?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -8. Let h be (27 - (s - -2))*2. Does 15 divide h - 6 - (-1 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000 + -10?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/(-4) + (-3)\/((-60)\/13915).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times -31.76528?\nAnswer: 1.9059168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a centimeter in millimeters?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 378 = 3*s, 5*s - 5*v - 541 - 49 = 0. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -45, -63, -89, -123?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1114 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/4 + (-14)\/(56\/(-22)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21689*n + 14*g = 21693*n + 376, 0*g = 3*n + 2*g - 43 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c*c*c**(-10)*c)))\/(c**(1\/7)\/c*c) assuming c is positive.\nAnswer: c**(-43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.785224 rounded to one decimal place?\nAnswer: 34.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 278*n - 81*n**3 + n**2 - 94*n**3 + 139*n**3 wrt n.\nAnswer: -216*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 483 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 2\/7*y**3 + 0 + 48\/7*y**2 = 0. Calculate y.\nAnswer: 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4291 - 175*f - 4291 to the form c*f + l and give c.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -273.801 + 245.19. Let k = n - -28.7. What is k rounded to 3 dps?\nAnswer: 0.089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - 2\/1)\/(134\/(-1148246)).\nAnswer: 3, 11, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13317 or -13316?\nAnswer: -13317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 31018970 * 5\nAnswer: 155094850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 4*z - 4648, 10*y - 8*y + 3*z - 2320 = 0. Suppose -99*s - y = -100*s. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 2965 = 285. List the prime factors of l.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 20\/(0 + 4). Let h(s) = 8*s**2 - 7*s - 8. Let b be h(g). Suppose b = -0*y + 5*y. Is 10 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -141422 (base 5) to base 6\nAnswer: -43050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, h: 17}. Give prob of picking 3 h.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 8:46 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 42*c + 21. Let t(y) = y + 1. Calculate -p(j) + 21*t(j).\nAnswer: -21*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 r when four letters picked without replacement from {w: 2, f: 1, x: 1, r: 8, y: 2, i: 1}.\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -110770, -4, 1, -2, -6 in descending order.\nAnswer: 2, 1, 0, -2, -4, -6, -110770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -22298*q + 289866. Give h(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2450 is divided by 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5951868 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 1. Let l be t(0). Let k = 1.597 - 0.697. What is the closest to l in 0.2, 0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 - -39. Solve -v + 19 = -5*x, 5*v + 3 = -r for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 11*f - 8. What is l(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 925980 and 1518.\nAnswer: 925980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**3*n + 133*b**3 - b**2*n - 8507*b**2 - 2911*b*n + 3*b - 658 wrt b?\nAnswer: -6*b*n + 798*b - 2*n - 17014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 130488048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-4)*(0 + -2). Suppose -5*w + 18 = 4*t, 2*t = -0*w + f*w + 20. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3547.8487 and -231370.\nAnswer: -234917.8487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6de042 - 5?\nAnswer: 6de03d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4*a**3 - 5 + 5 + (-a + 2*a + a)*(-6 - 3*a**2 + 6))*(-2 + 5 - 1).\nAnswer: -20*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b + 867 + 4333 = 0. Let v = b + 1528. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**4 + 3*r**3 + 3*r**2 - 11. Let s(v) = 4*v**4 - 5*v**3 - 7*v**2 + 23. Let x(i) = 5*p(i) + 3*s(i). Differentiate x(o) wrt o.\nAnswer: 8*o**3 - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**4 + s**2 - s**2 + (-s + 6*s - 3*s)*(-1 + 1 - 2*s**3))*(-3*s + 8 - 8) + (-6*s**4 + 1535*s**2 + 34 - 1535*s**2)*(-s - 1 + 1).\nAnswer: 9*s**5 - 34*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -5*v**4 + 5535*v**3 + 38990*v**2 = 0?\nAnswer: -7, 0, 1114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1168 and 940?\nAnswer: 274480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*z - 67*z - 16*f + 4 = 0, 5*z + 8 = -f - 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -5\/18*n**4 + 13\/9*n**3 - 7\/3*n**2 + 0 - 145*n - 1\/30*n**5. Determine a so that o(a) = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l + 10*l**2 - 6180 - 6185 - 5835 + 18200.\nAnswer: 10*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 12:38 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.9 (b) 4 (c) -1\/98 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 10:07 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*a = 8, -4*u + 0*u - 2*a = 0. Suppose 2*d - u*i = 0, 3*d + 0*i = -3*i. What is the lowest common multiple of 6 and 15*(2\/3 - d)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16\/11? (a) -2\/97 (b) 4 (c) -4\/3 (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/35 and 47\/101010.\nAnswer: 101010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w**2. Let a(l) = 131*l - 5. Give d(a(h)).\nAnswer: -51483*h**2 + 3930*h - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 90.391444 - 0.0483.\nAnswer: 90.343144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 1. Let k be 2\/(-6) - (u - 0). Let t = -2561.3 - -2561. Which is the second smallest value? (a) t (b) -2\/25 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.068141295577 - 0.4\nAnswer: -0.331858704423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.309*-3.\nAnswer: 42.927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -15. Let h(l) = 5*l**3 + 16*l**2 - 11*l - 11. Let v(a) = a**3 + 3*a**2 - 2*a - 2. What is d*v(w) - 2*h(w)?\nAnswer: w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11591.\nAnswer: 67, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 17*y - 2. Let d be r(17). Let b be d - 2 - (-15)\/5 - -18. Solve b - 42 = -5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220222212001121 (base 3) in base 16?\nAnswer: -caaf50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -381*l - 146*l = -114*l - 38409 for l.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.58623 take away 0.056?\nAnswer: -9.64223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6007, 5977, 5913, 5809, 5659, 5457?\n\"Answer: -l**3 - 11*l**2 + 10*l + 6009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2400 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -23*n - 7. Let f(a) = -9 - 9 + 10 - 11 + 20 + 4*a. Calculate -34*f(s) - 6*h(s).\nAnswer: 2*s + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 25 = 13. List the prime factors of (4\/12)\/(q\/(-6)) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -27, -48, -85, -138, -207, -292?\n\"Answer: -8*u**2 + 3*u - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -13031222133?\nAnswer: 13031222130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/160 and -5\/1472?\nAnswer: 7360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -35*z + 6. Let m(x) = -12*x + 2. Calculate 11*m(b) - 4*n(b).\nAnswer: 8*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 26*m + 25*m - 51 = 0, -4*m = -16 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 13*u**2 + 14*u + 10. Determine j(14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*j - 272 = 0, -4*j + 407 = 5*x - 245. What is the remainder when x is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*j**2 - 72*j**2 + 2*j**2 + 48*j**4 + 10*j**2 wrt j.\nAnswer: 1152*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.4 (b) 2\/13 (c) 2.37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, w: 1, j: 1, m: 1, x: 2, g: 3}. Give prob of picking 1 g, 1 m, 1 w, and 1 x.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 501760.985 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z**4 - z**3\/3 + z**2\/2 + z - 1. Is i(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -13. Let d be ((-30)\/(-9))\/(22\/(-33)). Do f and d have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -9*j - 696. Let d(w) = -13*w - 1043. Calculate -5*d(o) + 7*m(o).\nAnswer: 2*o + 343","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 177438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -9*y**4 + 1761*y**3 + 141156*y**2 + 182676*y - 185040 = 0.\nAnswer: -60, -2, 2\/3, 257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 102.3937627 rounded to 2 dps?\nAnswer: 102.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -5304429.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17354, 17373, 17424, 17525, 17694, 17949?\nAnswer: 18308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 2*h - 18, 3*z - 11 = -3*h + 22. What is the remainder when 55 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 4:03 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 7 = 1. Let s be (q - (-3018)\/9)*21. Round s to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1042 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*f + 7 = 0, 4*x - 2*f = 2*f + 12. Solve -4*p - 17 = -x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -180\/41 in 1\/4, 2\/3, -2, -5, 0.03?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/9? (a) -2 (b) 1.01 (c) 0.4 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*p + 1042 = -1246. Solve -44 = 18*l - p for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1636 is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4*b - 4. Let a(s) = -4*s - 5. Calculate 4*a(w) - 3*p(w).\nAnswer: -4*w - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is b15a90 (base 14) in base 10?\nAnswer: 5970286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 z when two letters picked without replacement from {w: 2, t: 1, z: 1, k: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 - 71*u + 3)*(-u + u - u).\nAnswer: 71*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/2 and -88\/21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.850682*-0.4\nAnswer: -0.3402728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -91, -96, -105, -118, -135?\n\"Answer: -2*q**2 + q - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4223388 (base 11) to base 8.\nAnswer: 34307240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98*v**3\/11 - 448*v**2\/11 - 232*v\/11 - 32\/11.\nAnswer: -2*(v + 4)*(7*v + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 5 + 3)*(11*y + 8 - 8) + 9*y - 7*y + 11*y + y - 1 + 1 to q + b*y and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8547 + -51277\/6. Let i(s) be the third derivative of v*s**4 + 0*s**3 + 0*s + 0 + 49*s**2. Let d(l) = 4*l. What is 14*d(w) - 3*i(w)?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/2 - 45*k**3\/2 - 93*k**2\/2 - 47*k\/2.\nAnswer: k*(k - 47)*(k + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 33.1, -0.4, -1\/50, 3 in descending order.\nAnswer: 33.1, 3, 2\/5, -1\/50, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 4*n**2 + 6*n + 6. Let m be w(-5). Let j(s) = 2*s. Let o be j(m). What is the second derivative of b - b**2 - 2*b + 2*b**o wrt b?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/7 + 2974*o\/7 + 1704.\nAnswer: -2*(o - 1491)*(o + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o, 0 = -j + 3*o - 5 + 67. Let r = -37 + j. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 p when two letters picked without replacement from {n: 2, w: 1, o: 3, x: 1, d: 5, p: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 374*t - 355*t - 389 = 7591. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9, -148, -409, -816, -1393?\n\"Answer: -4*r**3 - 37*r**2 + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 7*i**2 - 6*i + 4. Let w be q(6). Let d = -35 + 118. Suppose -3*t = -5*k - 18 + d, 0 = 2*t + 10. Solve 10 = w*p - k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -11*y. Let k(t) = 51*t**2 + 40*t + 10. Let w(p) = -102*p**2 - 85*p - 21. Let s(b) = -17*k(b) - 8*w(b). What is f(s(l))?\nAnswer: 561*l**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179626468 a multiple of 716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1392)\/406*28\/20*25\/2*-1?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 17 = -13. Suppose -2*u = -4*o + 194, 4*o + u = l*u + 197. Let t be ((-2)\/(-3))\/((-3)\/(-45)). What is the greatest common divisor of o and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126502071.\nAnswer: 3, 42167357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2895*i - 2896*i - 8 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 10\/7*r**5 + 6\/7*r**3 - 2*r**2 + 2*r**4 + 4\/7*r = 0. Calculate r.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 times 1083?\nAnswer: 141873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 7956 = -2*u + 10686, 0 = -5*u + z + 46674. List the prime factors of u.\nAnswer: 2, 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1736318673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*t - 380 = 772. Solve 20*i**4 + 21*i**4 + 24*i + 6*i**2 + 168*i**2 - t*i**5 + 327*i**3 + 10*i**4 = 0.\nAnswer: -2, -1\/3, -1\/4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -6, -1, 3\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2962 and -1.21?\nAnswer: 1.5062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/7 + 180*p**2\/7 + 888*p + 6608.\nAnswer: -2*(p - 118)*(p + 14)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 - 37152048*m - 172534333824288.\nAnswer: -2*(m + 9288012)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or 215\/3?\nAnswer: 215\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 565*d - 1 - 2445*d - 2510*d + 350*d.\nAnswer: -4040*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-153)\/2*(-212)\/106. Solve 27 = -162*x + o*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005391281 rounded to five dps?\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 561.682019 rounded to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -688176 or -13075320\/19?\nAnswer: -688176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 350\/116831 + 1\/559. Let j = 421\/627 - s. Which is the closest to j? (a) -0.2 (b) 3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 8*h + 1. Let w be y(9). Let a = w + 153. Solve o - 4 = a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -645171300 to the nearest 100000.\nAnswer: -645200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(126)\/sqrt(6))\/sqrt(3) + (sqrt(700) - (-1*sqrt(700)*-5 + sqrt(700) + sqrt(700))**2).\nAnswer: -34295 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-5)\/20 - 0). Suppose -5*w - l + 0*l + 67 = 0, 2*l = -p*w + 56. Solve 4*h - 4*b - 12 = 0, 4*h - 2*h = -5*b + w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38253413*l**3 - 17862334*l**2 wrt l?\nAnswer: 229520478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by 2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2.85 (b) 3 (c) 18 (d) 2\/155\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) -2143 (b) 5\/4 (c) -3770\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-7 - -12) - 3 - 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - -2*2*sqrt(95))\/(-3*sqrt(80)) + ((-1*sqrt(8208) + sqrt(57))\/sqrt(3) - (-2 + (sqrt(19)*2)**2 + 5)).\nAnswer: -79 - 137*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*s = 324, 0 = 3*y - 5*s - 200 - 145. Let a be (-1455)\/11 + 30\/y. Is -131 less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14648*h + 14654*h - 18 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = 102*p - 97*p - m, 3*p - 70 = m. What is the least common multiple of p and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/4)\/((x\/(x*x\/(x**(-2)\/x)))\/x))\/((x*x**(-2))\/x**4) assuming x is positive.\nAnswer: x**(37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -49 from -77.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 2*l - 7*l)*(0*l - 4*l + 0*l) - 2*l**2 - 2*l**2 + 2*l**2 + (-5*l + 2*l + 2*l)*(-2*l + 0*l + 3*l) + 3 - 3 - 2*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -14. Let l be (-3 + -3)\/(1\/(-5)). Calculate the remainder when (l\/4)\/(2\/4) is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13918 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -748, 3, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 13) to base 3\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 14 = -4. Suppose -t = z*h - 13, 3*h + 1 + 2 = 3*t. Differentiate 2 + m**t + 3*m**3 - m**3 with respect to m.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3594 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 79*y - 2 + 77*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + 613 + -7 + -6. Let v = f - 584. Calculate the remainder when 187 is divided by v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2\/11 + 49226*j\/11 = 0. What is j?\nAnswer: 0, 24613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 2*h + 2*h - 1 + 4 + h**2. Give j(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/10438 and 105\/1768.\nAnswer: 542776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79 + 77.98. Let i = g - -1.83. Let v = i + -0.847. What is v rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5 + 3*-6*(0 + sqrt(243)*1 - 1*sqrt(243)*-1))**2.\nAnswer: -3240*sqrt(3) + 314953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 0*a**4 + 0*a**2 + 0*a**3 - 18\/5*a**5 + 48 + 37*a. Find the first derivative of n(u) wrt u.\nAnswer: -72*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-3) + (-42)\/(-9). Suppose 5*p - 5*s = 80, -r*s = 5*p - p - 96. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305260667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 11:02 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-3) + 537\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17970828*u**6 - 4800240*u**2 wrt u?\nAnswer: -2156499360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038346471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45693157?\nAnswer: 19, 23, 104561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -164*g**2 + 26684*g + 7824.\nAnswer: -4*(g - 163)*(41*g + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -0.0574.\nAnswer: 0.0574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t - 8*t - 20*t + 58*t**2 - 60*t**2.\nAnswer: -2*t**2 - 28*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-4) + 1\/2. Let g be (10\/(-4))\/((-1)\/(-6)). Let u be (-1)\/(-20) - 3\/g. What is the closest to 0 in -1\/2, u, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-1))\/1*-11*5\/(-1705).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 95 + 1032. Suppose 4*r + x = 753. Is 22 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -25. Let a(f) = 2*f + 4. Is 3 a factor of a(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/15)*n)\/n**7)**11*((n**(-2\/7))**(-36))**(-2\/3) assuming n is positive.\nAnswer: n**(-7804\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5133154000 + -1?\nAnswer: 5133153555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6\/5*q**2 + 1\/5*q**5 - 6\/5*q**4 + 11\/5*q**3 + 0 + 0*q = 0.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/133 or -100?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - -2)*(-54)\/2. Suppose -26*c = -q*c + 159. Calculate the remainder when c is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 102.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 21 = -4. Let y(t) = -2*t - 4. Give y(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10354.99874215 + 10355. What is z rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 136.4? (a) 0.041 (b) -27 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - n + 570 = 0. Suppose -86 = -3*q + 3*z - 32, -4*q + 61 = -5*z. What is the remainder when n is divided by q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b + 2*b**3 - b + (-3*b + 0*b + 4*b)*(39*b**2 + 117*b**2 + 111*b**2).\nAnswer: 269*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -3, -115.41, -39?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvv when four letters picked without replacement from vfffvvvvvfvvvfvv.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 3*a - 16. Suppose -4*w - a = 0, -3*h + 4*w + 300 = h. Let c = 104 - h. List the prime factors of c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 379019 and 5.\nAnswer: 379024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (123 + -137 - (1 + 4)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -24?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 753301*a**2*y - 2*a**2 - 4065*a*y - 2*a - 55 wrt a.\nAnswer: 1506602*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 128*f + 2. Let n(v) = 257*v + 5. Let h(m) = -3*n(m) + 5*w(m). Is h(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -662 - -666 - (-1 + 28).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 7*a**2 + 4*a - 1. Let d be l(4). Let f = 45 - d. Let h = f - -197. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-28)\/(-5))\/(236\/(-80) + 3). Suppose 6*o - v = 2*o. Suppose -34 = -2*n - o. Solve 0 = -2*x - 1 - n for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*l - 52. Which is the closest to 2\/7? (a) l (b) 4 (c) 7\/8 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.129313ml in litres?\nAnswer: 0.003129313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 76\/20 + 3\/15. Suppose c*f = -f + 590. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*n - 8. Suppose -8 = -o - n. Is o a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 4*i + r + 11, -4*i = -3*r. Let y be 37\/i + 5\/(-15). Is 4\/y - 164\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/6 and 34\/2287327.\nAnswer: 13723962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/72)\/((-3)\/9). Let x(f) be the third derivative of y*f**4 + 0*f - f**2 + 1\/60*f**5 + 0 + 1\/6*f**3. Factor x(h).\nAnswer: (h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1551487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4215582?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r + 18965 = 17435. Calculate the highest common divisor of 28135 and r.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16350 and 14250.\nAnswer: 1553250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/2)\/(2\/18)*58\/(-174).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 2:54 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.272 and -143.06307.\nAnswer: -142.79107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i*((i**(-1\/16)\/i)\/i)\/i*i)*i*(i*i**(-2\/7)\/i*i)\/i)\/((((i*i\/(i\/i**(-6)*i)*i)\/i)\/i*i)\/(i*i**(-3\/7))) assuming i is positive.\nAnswer: i**(1159\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 349\/492 + 5\/123. Which is the biggest value? (a) 2 (b) -0.8 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -640 - -623. Is ((-20113992)\/27)\/y + (-5)\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39292 and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 128*s - 114*s + 98*s + (-3*s + 5*s - 3*s)*(3 - 4 + 0).\nAnswer: 113*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120 divided by -29?\nAnswer: -1120\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 z when three letters picked without replacement from mkkkmkyykyyzkwmz?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -3 (b) -4\/5 (c) 2\/5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39529, -156808, -352271, -625918, -977749, -1407764?\nAnswer: -1915963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 + 6 + 15 - 10 + r**2 as i*r + b + s*r**2 and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**35)**(1\/4) assuming t is positive.\nAnswer: t**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 9. What is the second smallest value in -0.1, 0.04, w?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 + -4 + -18 + 0 + -6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**2. Let h(i) = -3 - i + 0*i + 3. What is s(h(u))?\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**2)**48*u**(1\/13)*u**(-11))**26 assuming u is positive.\nAnswer: u**3460","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -50*u + 47. Let k(t) = 17*t - 16. Let v(g) = -3*j(g) - 8*k(g). What is the derivative of v(n) wrt n?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 518998608?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 3:30 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -131 + 184. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0 - 49*o**2 - 696*o**3 + 0 + 462*o**3 wrt o.\nAnswer: -1404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-19)\/57 + 16\/3. Suppose -l - 5*j + 20 = 0, 0*l - 2*l = -b*j + 5. Solve -s - 29 = -3*i + 4*s, l*i = s + 19 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*a - 2. Suppose -3*o + 10 = a*o. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 916816*h - 37*h**2 + 916634*h - 1833450*h.\nAnswer: -37*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -18062?\nAnswer: 18064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84650.3 nanoseconds to milliseconds.\nAnswer: 0.0846503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -32*m - 3. Let h be t(1). Let b = h + 41. Let j be (-2)\/(-2)*1*20. Solve b*i = 2*i + j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42412 and 40871.\nAnswer: 75366124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3, 31, 77, 147, 247, 383?\n\"Answer: v**3 + 3*v**2 + 12*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 76\/15 and 13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-14) - 1125\/(-105). Let t = 25 + 25. Suppose -12*k + t = -b*k. Does 25 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 6:57 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 11712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + 1 + -7 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mlml when four letters picked without replacement from lmlmmmmmmmmmmmmlmml.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v**2 + 690*v - 5963. Determine z(221).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 51 + (-48 - -31) + -10\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/126 and 16\/279.\nAnswer: 3906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - t + 3*m + 688 = 0, -4*m = 4*t - 716. What is the highest common divisor of 56 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1836*h + 5107*h + 45*h + 2320*h + 2639*h.\nAnswer: 8275*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 5*i**2 + 6*i - 1. What is p(3)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s - 1. Determine q(-43).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 - -28?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z. Let y(j) = 8662804*j**2. Calculate y(i(l)).\nAnswer: 8662804*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 5*r**2 + 2*r - 4. Let b be v(4). Let t be 5\/b - 26\/(-8). Factor -23\/2*m**4 - 27\/2*m**3 - t*m**5 + 0 - 13\/2*m**2 - m.\nAnswer: -m*(m + 1)**3*(7*m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**4 + 2*x**3 - x**3 - 2*x**2 + 4*x**2 as b*x**3 + y*x**4 + v + z*x + d*x**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 5*c**2 - 4*c + 6. Let j(z) = 5*z**2 - 2*z + 1. Let f be j(1). What is the remainder when o(f) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53195 is divided by 933?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-16) + 1155\/(-120). Let x = v + 55. Suppose -z + 28 = -x. What are the prime factors of z?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4588 divided by 148?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 5*t - 7, 0 = 5*w - 3*w - 2*t - 2. Solve 0 = 5*a - 15, z - 7 = -w*z - 4*a for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 217, -0.3, 1\/6 in increasing order.\nAnswer: -0.3, 1\/6, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of 2\/21*c**3 + 3*c - 1\/6*c**4 + 0*c**2 + 0. Solve q(w) = 0 for w.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20518 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2 + 614*k + 47003. Give r(-162).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 573*c + 85595. Calculate x(696).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 266952, 2135668, 7207912, 17085450, 33370048, 57663472, 91567488?\n\"Answer: 266961*n**3 - 2*n**2 - 5*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2321045?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z - 21. Let h be c(8). Let b(w) be the second derivative of -1\/6*w**2 - 3*w + 0 - 1\/60*w**5 - 1\/6*w**h - 1\/12*w**4. Factor b(g).\nAnswer: -(g + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 886 divide 16279204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14\/(-5) + 2)*2\/8. Put z, 6, -1\/12 in increasing order.\nAnswer: z, -1\/12, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -g - 19 + 8, -3*g = -2*c + 17. Suppose -2*l + 132 = c*w, 0 = -3*l - 6*w + w + 193. What is the highest common divisor of l and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15739434397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.088 (b) -0.2 (c) -2\/3 (d) -4 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -13ab?\nAnswer: 13a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.87 in -0.6, -4, -58, -0.5, -2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -200 (base 5) in base 15?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 9*m**2 + 13*m + 34. Let x be b(6). Solve 2*s + 5*t - x*t + 3 = 0, 0 = 4*t - 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-21)\/(((-4)\/(-10))\/(2800\/(-375)))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 941341 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 4:41 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * 55.\nAnswer: -605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3740966106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*-6)\/((-1)\/(-5)*5355\/(-1428)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 78929444 a multiple of 842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3024 and 1416.\nAnswer: 178416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/32 and -27\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = 12*r - 74. Calculate the remainder when 208 is divided by r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -149*i**3 + 2*i**2 - i. Let d be s(1). Let j be -1038*(-1)\/(9 + -2). Let k = j + d. Sort 3, -2, k.\nAnswer: -2, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 x when four letters picked without replacement from {x: 2, p: 17}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6154.599 years in millennia?\nAnswer: 6.154599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r - 16. Let s(d) = -177586*d. Give s(m(t)).\nAnswer: 710344*t + 2841376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41607 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -4*h**3 - 612*h**2 - 2400*h + 1880000 = 0.\nAnswer: -100, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, -841, -32, 3, -5 in decreasing order.\nAnswer: 84, 3, -5, -32, -841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*n - 3650 + 347 = 0, 0 = 4*n + 20. Does 10 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + q**2 - 1. Let y(i) = -8*i**3 - i**2 - 5*i - 4. Let o(u) = -9*u**3 - 2*u**2 - 6*u - 4. Let h(s) = -5*o(s) + 6*y(s). Give 4*b(r) - h(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1406.5984 + -7344.6446. Let k = -8757 - l. Let y = -0.043 + k. Round y to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 42\/12 - 6\/4 - 2. Which is the closest to 0? (a) -4 (b) 15 (c) 1\/3 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.6 + 4. Let s = 273.6 + -252. Let i = -8.6 + s. Which is the third smallest value? (a) i (b) l (c) -2\/7 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/472680 and -85\/21438.\nAnswer: 562961880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 17761.5 and -84.41?\nAnswer: 17845.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from mcckkcmccckckd?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*(2 + sqrt(2448)) - (sqrt(2448) + sqrt(2448) + 1)*1) + 2)*3)**2.\nAnswer: -648*sqrt(17) + 22113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 - 193*z - 2160 + 34*z - 2235 + 160*z**2 + 4395.\nAnswer: -z*(z - 159)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 5*i - 4. Let u be c(3). Let w(h) = -5*h + 12. Let g be w(u). Let o = g - 22. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 65, 3, -2\/5, 2\/3 in ascending order.\nAnswer: -3, -2\/5, 2\/3, 3, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 220 = 10*r. Suppose -p + 3*u + 43 = -r, -5*u = 5*p - 455. What is the remainder when p is divided by 34?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-5)*-5*4. Suppose -l - 119 = -z*l. Let u(h) = 11*h - 44. Let g(t) = -4*t + 15. Let q(m) = l*g(m) + 6*u(m). Determine q(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 6589.9923, 4 in increasing order.\nAnswer: 2\/3, 4, 6589.9923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 435*a + 1951*a + 244*a - 16890 = 77790 for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -37 (c) -9 (d) 5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r + 207. Let m be w(40). Suppose -m = -29*z - 0. Calculate the greatest common factor of z and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/2158190 and -87\/50.\nAnswer: 10790950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14, -4, 0.3, 29\/2, -3\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -669 + 738?\nAnswer: 8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2520604147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.18 + -7.08. Let m = s + 5.9. Which is the fourth biggest value? (a) 1\/9 (b) -1\/3 (c) 9 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 340 and 748.\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*s - 3*s + 81. Let x be 6\/s - (-384)\/(-135). Let c = x + 17\/5. Sort c, -1\/6, -2 in increasing order.\nAnswer: -2, -1\/6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ykkj when four letters picked without replacement from {k: 11, y: 2, o: 5, j: 1}?\nAnswer: 55\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (-7 - 3) + -10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 84134857973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h**2 + 5*h - 4. Let x(c) = 11*c**2 + 14*c - 13. Determine 8*r(o) - 3*x(o).\nAnswer: -o**2 - 2*o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/309824 and -85\/376.\nAnswer: 309824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 31679477 a multiple of 648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i*(i\/(i\/(i**(2\/55)\/i)))\/i*i*i))*(i**(-15)\/i)\/i*i**22\/((i*i\/((i*i**(-2))\/i*i))\/i))**42 assuming i is positive.\nAnswer: i**(9324\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*w + 5. Let h be (12\/w)\/(2\/(-15)). Suppose h*y - 65 = 5*y. Calculate the remainder when 25 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**5*u)\/u)\/u)\/(u*u**2))**46 assuming u is positive.\nAnswer: u**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1459693 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 76*d + 40 = -77*d, 2*d = 8. Calculate the highest common divisor of i and 14366.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 456 and (8512\/40)\/((-18)\/30 + 1)?\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*r + 15*r + 139*r + 49*r.\nAnswer: 253*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 20 = 5*g, 2*y + 4 = g + 5*y. Suppose 2*d = g*d + 4. Let t be d\/(-3) - 1 - 0. Which is the closest to 0.1? (a) -3 (b) -0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -4*w + 28, 0*m = 4*w + 2*m. Let v(r) = 2*r**w + r**2 - 2*r**2. Let i(c) = -227*c + 75*c + 74*c + 73*c. Determine v(i(b)).\nAnswer: 25*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78*q**4 + 2*q**3 + 280*q**2 wrt q?\nAnswer: 1872*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/63*-45*(-4)\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in two fifteenths of a minute?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 462 divided by -154\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = s - 6*s. Let r = 113 - 150. Let u = s + r. Put u, -0.04, 0.5 in decreasing order.\nAnswer: 0.5, -0.04, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.207582 minus 62912.264?\nAnswer: -62912.471582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (23\/(4761\/(-3))*-23)\/(((-2)\/2)\/(-141))\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2012 (base 3) in base 6?\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*i - 21*i + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 22*j - 19*j. Put 5, -4, -1, j in decreasing order.\nAnswer: 5, j, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -1. Let z(k) = k**2 + 7*k + 5. Let l be z(-8). Let p = l + -14. Which is the second smallest value? (a) n (b) p (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 10:59 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50441 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -0*i + 3. Does -3 = i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-42*i + 21*i - 958*i**2 + 21*i - 2910*i**2)*(1 + 0*i + i + 4) to u*i + z*i**3 + h*i**2 + w and give h.\nAnswer: -19340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/14*798\/(-684)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37363 or -0.16592?\nAnswer: -37363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3273731361?\nAnswer: 3, 17, 647, 33071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 4, -551, -4 in increasing order.\nAnswer: -551, -4, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 289842069 and 363?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 20*j + 175. Let c be t(23). Is 106 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b**3 + 18*b**2 + 10*b + 21. Let m(y) = 11*y**3 + 53*y**2 + 32*y + 63. Let r(v) = 8*c(v) - 3*m(v). Calculate r(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-19)\/(-10))\/(-19)*66 + (-8 - -15). Are o and 11.38 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58 + -58.1. Sort 0.3, -11, n in decreasing order.\nAnswer: 0.3, n, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3838228*b**3 - b**2 - 138*b - 3838228*b**3 - 4*b**4 as a*b**4 + x*b + y*b**2 + u*b**3 + o and give x.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-18)*z*z**(-20) assuming z is positive.\nAnswer: z**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 7*y - 4. Let m be c(6). Suppose d = 3*z - 0*z - 14, z - m*d - 8 = 0. Is z even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**4 - 77652*n**3 - 502796604*n**2 - 4018646304*n - 8034808512.\nAnswer: -3*(n + 4)**2*(n + 12938)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -228709? (a) 2\/19 (b) -4 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -0*q + 129*a - 322 - 52, -4*a = -5*q - 11 + 64 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 4:02 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/55107812 and 89\/238.\nAnswer: 385754684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -10. Let u be (h - (3 - -3))*2. Let v(t) = t**3 + 7*t**2 + 5*t - 2. Determine v(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1955047 and 5?\nAnswer: 9775235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 862509704 a multiple of 5477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**3\/3 - 1964*d**2\/3 + 38078*d\/3 + 40040\/3 = 0. Calculate d.\nAnswer: -1001, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3533, 3534, 3535, 3536?\nAnswer: 3537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2582*r**4 - r**3 - 35*r**2 + 132433*r wrt r.\nAnswer: -30984*r**2 - 6*r - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8932325 or 0?\nAnswer: 8932325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 = w - 48. What are the prime factors of (-2)\/(604\/w + 3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1170 divided by -18?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 3, x: 2, m: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.067, 1, -0.49 in descending order.\nAnswer: 1, -0.067, -0.49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -520 - 24?\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5861770 divided by 41\nAnswer: 142970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 3*m + 742, -2*s - 2*s = 3*m - 1490. Let w be -18*(30\/4)\/3. Let f = s - w. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/f**(2\/9))*f**(-14))**(9\/4) assuming f is positive.\nAnswer: f**(-115\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 3:48 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -36.6 - -24\nAnswer: -12.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -590*a = -591*a + 2*f - 57, -13*a + 3*f = 74 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 13 = 5*h, 30*y + 7 = 44*y - 9*y - h for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, m: 1, r: 2, y: 1, f: 1}. Give prob of sequence my.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*s - 310, 2*k - 4*s - 100 = k. Let l = -786 + 496. Let v be (-10)\/55 + l\/(-22). What is the greatest common divisor of k and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y - 8*k + 27 - 127 = -13*k, 3*y - k = 34 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 12:05 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18735 - 2*v**2 + v**2 - 18735.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r. Let y(c) be the third derivative of c**4\/2 - 6*c**2. Calculate f(y(k)).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*v + 9 - 10 = 0, -3*g = -v - 16. Solve -3*k = g*j + 2, -6 = -2*k - 3*j - 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-7))\/(-3) - 2260\/(-140). Find the second derivative of 1764*q**2 - 1 - 2*q**4 + 8*q - 879*q**2 - 885*q**2 - u*q**3 wrt q.\nAnswer: -24*q**2 - 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161169.8 minutes in seconds?\nAnswer: 9670188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 2*z + 258. What is n(17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-12))\/(21\/(-12)) - (-72562)\/(-6958)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6195947 and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 14, -2\/5, 291\/7, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.06 - 0.24. Let y = j + 0.5. Let m = -76 + 303\/4. What is the second biggest value in 2, m, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*k + 14, 6 = -2*k - k - 3*u. Let c be (-1 - k) + (3 - 0) + 1. Solve c = -i - 1 - 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 9*b + 7. Determine c(3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -36 + 38, l - 5052 = u. What is the hundreds digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/2 + 172191*y**2 - 29649740481*y\/2.\nAnswer: -y*(y - 172191)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227*d + 228*d - 248 = -3*w, -3*w + 3*d + 264 = 0. What is the highest common divisor of w and 384?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -10\/23 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z - 2. Let n be a(6). Let x = 8 + n. What are the prime factors of (-2 - x)*(-39)\/6?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -11*c**2 - 4. Let d(k) be the second derivative of k**4 - 1019*k. What is d(t(v))?\nAnswer: 1452*v**4 + 1056*v**2 + 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -115 - 57?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3484 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (11 - (-3)\/(-1)) + 2. Let g(k) = -s - 2*k + 7 + 5. What is g(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 300\/280*(-42)\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 5*y**2 + y - 2. Let h be l(5). Is h bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23.891 - -23.981. Suppose -3*m - 4*m = -28. Which is the closest to 8? (a) 0.4 (b) m (c) z (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 338, 671, 992, 1295, 1574, 1823, 2036, 2207?\nAnswer: 2330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8*(2 + -6 + 2 - -3). Let k(c) = c**3 + 13*c**2 + 11*c - 4. Let r be k(a). Factor -2*g + 234*g**2 + 5*g**3 + 3*g**3 - r*g**2.\nAnswer: 2*g*(g + 1)*(4*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26406*b**2 + 8495?\nAnswer: -52812*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -1\/10*v**3 - 1\/20*v**4 + 2*v + 3\/100*v**5 + 0 + 3\/10*v**2. Find u such that c(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q - 8*q = 0. Let o(t) = -t**2 + 2*t - 430000. Let k be o(q). What is k rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**4 - w**4 + w**4 + (w - 2*w + 0*w)*(-2*w**2 + 2*w**2 + 2*w**3) + 17*w**4 + 47*w**4 - 16*w**4.\nAnswer: 49*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04 + 75.44. Let o = 75 - k. Which is the second biggest value? (a) o (b) 0.2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 - 19.745098354\nAnswer: -35.745098354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2\/15*r**3 + 0 - 8\/15*r + 0*r**2 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 10. Suppose -3*x + 5*m + 15 = 0, -5*x + 2*m + 1 = -24. What is the second derivative of h*g**x + 4*g + 2*g - 4*g + g wrt g?\nAnswer: 80*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18685 or -18579?\nAnswer: -18685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11493, -21693, -31881, -42051, -52197, -62313?\nAnswer: -72393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 25 = 1. Let w = f - -6. Is w at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (76 + 30798\/(-406))\/(335\/70).\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 133*z**3 + z**2 - 12*z + 67 wrt z.\nAnswer: 798*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 0*r**5 - r**3 + 0*r - 1\/40*r**6 - 3*r**2 + 0 + 0*r**4. Differentiate s(a) wrt a.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 22962, 28597, 34232, 39867?\n\"Answer: 5635*i + 17327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 5*t + 8*t = 0. Factor t + 1\/2*z**4 + 3\/2*z**3 + z**2 + 0*z.\nAnswer: z**2*(z + 1)*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/5)*j*j**(1\/2))\/(j**3*j*j\/(j**(-5)*j))*(j**(-8)\/(j*j**(-1\/2)*j))\/(j**(1\/4)*j*((j*j*j**(-4))\/j)\/j) assuming j is positive.\nAnswer: j**(-281\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/9)*r**10)**(-1\/6) assuming r is positive.\nAnswer: r**(-44\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/(v\/(v**(-1\/14)*v))*v)))\/v)**46\/(v**17*v*v**(14\/11)*v*v) assuming v is positive.\nAnswer: v**(1651\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -52*s + 5804. Determine m(111).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1952 + 15523\/8. What is the common denominator of -1 + (-198)\/8 + 2 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**5 - 725018*m**4 + 2175024*m**3 + 4350088*m**2 - 5800096*m = 0. What is m?\nAnswer: -2, 0, 1, 4, 362506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 21*s - 51. Solve k - 17 = -3*d, -7*d + 28 = -s*d + 4*k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 28*s**2 + 4*s + 5. Let j be d(-2). Is j - (10\/(-2) + 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/8 - (19 + -15)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q + 2. Let s(n) = 0 - 2 + 1 + 0 - n. Suppose 4*m - 31 = -u, 2*u = 2*m - 78 + 60. Let l = 52 - 47. Give l*c(f) + m*s(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -374920710 rounded to the nearest 100000?\nAnswer: -374900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3775 divided by 755\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*l - 2491120 - 18948781 = -14*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*4)\/(sqrt(640) + sqrt(640) + -2*sqrt(640) + sqrt(10)).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 837222470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.032 - 0.032022. What is x rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 10 = -2*u + f, 0 = -5*u - 4*f + 2. Suppose u*x = -x + 270000. Round x to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201245261 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4543, 4610, 4679, 4750, 4823?\n\"Answer: d**2 + 64*d + 4478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 43409\/8 - 5413. Which is the third biggest value? (a) n (b) 2\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 2:36 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x + 326*h + 209 = 323*h, 2*x - 18 = 2*h for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -318, -3, 0 in ascending order.\nAnswer: -318, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1373 - -641. Let q = y - -728.474. Let i = -3.5 - q. What is i rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1092895 is divided by 107?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 8:58 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.34 + 0.1. Let m = g + 1.24. What is the closest to -5 in -4, 4, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 9:35 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5.41 * -524\nAnswer: 2834.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15395 divided by -5?\nAnswer: -3079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 8*b**2 + 24*b + 29. Let n be a(-10). Which is smaller: n or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(-6)\/9*-1. Let w = 0.638 + -5.638. Which is the third biggest value? (a) u (b) w (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.04 + 3. Let s = r + 3.04. What is the closest to 1\/3 in -2, 0.5, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 4*a + 3*a + 5*a**2)*(a**2 + 2*a**3 - a**2).\nAnswer: 10*a**5 + 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4 = -h, 4*h - 10 = 5*s - 7*s. Let x be -1*(2 + -1) + s. Let j(n) = 2*n - 1 + n - n + x. Let u(d) = 2*d - 1. Give 4*j(w) - 3*u(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w + 17 = 17*w + 3*k, 2*k - 5 = 3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1147 + -1114. What is the remainder when 156 is divided by y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p = -2*f + 26, -12*p - 3*f - 120 = -9*p + 17*p - 159 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 113 = -3*y, -y + j + 199 = 4*y. Suppose 0 = 5*o - 16 - y. Suppose -h + o = 2. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(96) + sqrt(96)*-2))\/(sqrt(60)\/(2*sqrt(10) - sqrt(10))))\/(((sqrt(8) - (sqrt(8) + sqrt(32))*-4) + ((sqrt(8) + sqrt(8)*-2)*2 - sqrt(8)))*1).\nAnswer: -sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 59739, -19.1 in decreasing order.\nAnswer: 59739, -4, -19.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, d: 11}. What is prob of sequence dd?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10, 7, 4, 1, -2, -5?\n\"Answer: -3*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 113 + -3?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + -4 + 0 + sqrt(243) - 3*(sqrt(108) + -1))**2 + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3 = -1. Let w be ((-1)\/2)\/(i\/(-6)). Suppose -1 = w*m - 4. Solve -m = 5*r + 14 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + 0. Suppose -r = -k*r. Which is bigger: r or 1\/36?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, y: 9, z: 3}. Give prob of sequence yr.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 27\/1 + -6 + 8. Suppose 51 = 2*h - 0*g + g, h - 3*g = x. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - -5.1. Let t = m - 4.6. What is the nearest to -0.2 in -2, 2\/7, t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 37, 376, 1289, 3046, 5917, 10172, 16081, 23914?\n\"Answer: 45*p**3 + 17*p**2 - 27*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -60, -44, -1, 3 in increasing order.\nAnswer: -60, -44, -1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 903441 and 1749?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5045686 is divided by 7475.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 164891814 and -20425.\nAnswer: 164871389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 5. Suppose 6*u - 4 = k*u. Suppose -3*a - 4*s + 11 = -2*s, -4*s + 10 = u*a. Solve a*g + 5 = 2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t + 286*t**2 - 7 + t**3 - 2*t**3 - 293*t**2. What is c(-6)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 733 - 447. Let l(k) = -k + 0*k + 286 - o. Let b be (-6)\/(-18) + 46\/(-3). Let u(h) = 3*h. Calculate b*l(f) - 4*u(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53 + -50. Let x be 0 - (-3 + l) - -3. Suppose 3 = 6*s - x*s. Solve -k = 2*k - 5*b - 3, -4*k = -5*b + s for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*n + 1344, -3*g - 1196 = 3*n + 148. What is g rounded to the nearest ten?\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2282 = 5*h, -5*v + 3*h - 784 = -6*v. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 9*a**2 + a + 27. What is the units digit of c(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46003 is divided by 228?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + (4 - 4))\/((-4)\/20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -116*g - 16. Let v(o) = 47*o + 6. What is -5*u(x) - 12*v(x)?\nAnswer: 16*x + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - ((sqrt(17) - sqrt(425)) + 1)) + sqrt(170)\/(sqrt(10) - -1*sqrt(10)) + -5.\nAnswer: -6 + 11*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32402.72555996 + 32348.72556. Let l = -54.092 + 0.092. Let q = l - c. Round q to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2590612 to the power of 1\/2, to the nearest integer?\nAnswer: 1610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -87, -40, 315, 1140, 2597, 4848, 8055, 12380?\n\"Answer: 27*l**3 - 8*l**2 - 118*l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-28)\/336 - 310\/(-1368) and -94\/15.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 24*i + 16. Let j be k(9). Round j to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/v**0*v*v))**1\/(v**(1\/2)*v**(-1\/4))*(v\/v**0)\/(v\/(v\/v**(-2\/9))*v)*((v\/((v*v**(2\/5))\/v))\/v)**(-29) assuming v is positive.\nAnswer: v**(1543\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -21867 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44656 + -44650. Solve -p = -2*n + 5*d - 6*d, 14 = 2*n - 3*d for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.9 + 2. Let m = -0.01 - -0.41. Which is the second smallest value? (a) m (b) y (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b - 19*b + 30 = 0. Suppose 29 = b*k + 24. Suppose -5*l = -2*m - 3*m + 65, -l + 23 = 3*m. Calculate the greatest common divisor of m and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1377 + -1371. Suppose 2*q - 4 = 16. Find the second derivative of v*j + 2*j**5 - 10*j**5 + 3*j - q*j**5 wrt j.\nAnswer: -360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express x**3 + 2*x**3 - 5*x**3 + (7*x + 4*x + 13*x)*(x**2 - 5 + 5) in the form h + b*x**2 + d*x + j*x**3 and give j.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 8*l - 7. Let i = 13 - 6. Let y be f(i). Let h = 13 - 9. Solve y*o = o - 2*a + 9, -o - 17 = -h*a for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*d = -13*d + 861 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*x**2 - 9 + 36*x - 68*x + 30*x - 5 as t + j*x + h*x**2 and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20673297*w**3 + 55819812*w**2?\nAnswer: 124039782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.7 (b) 1 (c) -5 (d) 13\/7 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2126.6 rounded to the nearest 10?\nAnswer: -2130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 71 = -k, -105 = -u - 4*u - 2*k. Solve -u = 5*p + 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*k - 31 + 146 = 0. Let g(q) = -q**3 + 4*q**2 + 3*q - 6. Give g(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/273*-26)\/(12\/(-246))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 43d (base 16) to base 11\nAnswer: 8a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 636 and 1911498?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*z + 24*z - 44*z - 44 - 55 to k + o*z and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(896) - 1*sqrt(896))*-5)\/(sqrt(162) + (sqrt(162) + -6*(sqrt(162) + -1*sqrt(162)) + sqrt(162) + sqrt(162) + sqrt(162) - sqrt(162))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -3035?\nAnswer: 3031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hgheqhxxwwhhhqq. What is prob of picking 1 x and 1 h?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 413 + 455894?\nAnswer: 456307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + z - 0*z - 128, g + 3*z - 32 = 0. Suppose -9 = -3*x - 3. What is the least common multiple of g and x?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22 and -20.\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1663457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(125)*-2 - (2 + (sqrt(55)\/sqrt(44))**2).\nAnswer: -10*sqrt(5) - 25\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mgd when three letters picked without replacement from gzgmdmmm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a milligram in micrograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-228)\/(-84))\/(165\/(-5775))?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 5*h + 28, 14 = -2*f - h - 3*h. Are -9 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (95\/15*4)\/(10\/(-12)*(-444)\/(-555)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 6:04 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**2 + 655072*r + 5240320 = 0. What is r?\nAnswer: -163760, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 2*m**2 + 2*m + 7. Calculate s(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x - 2. Let g(n) = -1128*n - 24. Calculate g(r) - 12*y(r).\nAnswer: -1116*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4294*g**3*h**3 - 1265*g**3*h**2 - 83*g**2*h**3 + 6*g**2*h**2 - g**2*h + 36*g**2 - 7*h wrt g.\nAnswer: -25764*h**3 - 7590*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 55618145 to the power of 1\/2, to the nearest integer?\nAnswer: 7458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 7*l**2 - 10*l - 3. Calculate c(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -6151.95?\nAnswer: -6151.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -17)*(-2 + (-16)\/(-10)). Solve 2*c + c - p = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2448)\/(-1768))\/((-120)\/390)\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*(-14)\/(-35)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 79045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.07788 and -0.7.\nAnswer: -0.62212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55.6 + 46. Let l = h + 3.6. Let a = l + 10. Sort 3, a, -0.3.\nAnswer: -0.3, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327 = -5*z + 8*z. Let d = -70 - z. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvvvg. Give prob of sequence ggvv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92792 is divided by 2013?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 0. Let a = 8 - y. Find the third derivative of 5*t**6 - a*t**2 - 4*t**6 + 4*t**6 wrt t.\nAnswer: 600*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/10, -0.1, 12, 23, -184?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -222, -536, -858, -1194, -1550, -1932, -2346, -2798?\nAnswer: -3294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -48, -124, -202, -282, -364?\n\"Answer: -b**2 - 73*b + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 19\/3 - (9 + (-26)\/3). Solve 2 - x**3 + 9\/2*x**2 - q*x = 0 for x.\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*h**3 - 226*h**2 - 1194*h wrt h?\nAnswer: 18*h - 452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, a: 1, k: 1, q: 10, y: 2}. Give prob of picking 1 y and 1 h.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 9*p + 13. Give l(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 277166419 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -522 - 192?\nAnswer: -714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1*sqrt(612)*-1 + 5 + 4 + ((1 + sqrt(612))*-6 + 6*(1 + sqrt(612)))*5)**2.\nAnswer: -108*sqrt(17) + 697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.200389 + -29507.399611. What is u rounded to the nearest 1000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 9\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**3 - 3*z**3 + 29*z**3.\nAnswer: 32*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 0 - 2\/11*o**2 - 2\/11*o = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 m when two letters picked without replacement from bxxmxbbkxububuu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 332, 307, 258, 179, 64?\n\"Answer: -y**3 - 6*y**2 + 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**3 + 4*k**2 - 5*k - 7. Let t be x(-2). Put -1\/4, t, 1\/4 in ascending order.\nAnswer: t, -1\/4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 57, 297, 947, 2211, 4293, 7397, 11727?\n\"Answer: 34*s**3 + s**2 - s + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47248, 95482, 143718, 191956, 240196, 288438, 336682?\nAnswer: 384928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-7))\/l**(-2))**50)**(-2) assuming l is positive.\nAnswer: l**400","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 333202?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 4*j**2 + 4*j - 4. Let p be d(3). Let u = 0.19 - -1.81. Which is the second smallest value? (a) p (b) -0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*a - 5*k, 3*a + 0 - 6 = 3*k. Let x(o) = 12*o + 24. Is x(a) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -z**5\/20 + 7*z**4\/12 - 7*z**3\/6 + 4*z**2 + 10*z. Let n be f(6). Solve 0 = k - n*k - 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 7*j + 10. Let c be r(-5). Suppose 4*q - 87 = 5*l, -l = -q + 2*l + c. What are the prime factors of q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + f**2 + f - 10. Give p(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -1192047.92741?\nAnswer: -1192047.82741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((-2 + 0 - 1) + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.5, -75, -35, 1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 1:06 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 5*r**2 + 2. Let p(l) = -2*l**3 - 5*l**2 + 3. Let a(t) = -2*p(t) + 3*z(t). Calculate a(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/450 and -37\/738.\nAnswer: 18450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 p when two letters picked without replacement from fpppff.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - (-33)\/6)*8\/5. Suppose 4*p = -0*p + 40. Suppose 4*x - 24 = -s*u, -3*u - 3*x - 2*x = -p. What is the greatest common factor of u and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*w - 5 = 0. Find the common denominator of -99\/20 and 8 - w - (-162)\/(-20).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17 - -2a7769b?\nAnswer: 2a77684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 15*o**2 + 2*o - 31. Let y(c) = -c - 27. Let k be y(-17). Is r(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 6*i - 16. Let q(k) = -k. Let g(h) = 6*q(h) - y(h). Suppose 0 = -8*j + 2*j + 120. What is the lowest common multiple of g(0) and j?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5478)\/4*192\/(-1056)*4\/12.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 685199*b + 467729 with respect to b.\nAnswer: 685199","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 6346?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 7*x + 7 + 1 + 3*x**2 - 10*x**2 - 6. Let n be q(6). Find the first derivative of -1 + 12 + 8*p**4 + n wrt p.\nAnswer: 32*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 5:19 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -50, -2, -13, 190.\nAnswer: -50, -13, -5, -2, 2, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*i**3 - 4 + 3 - 1 - 813*i**3.\nAnswer: -625*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -886 + -bc?\nAnswer: -975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -110846.9297872 - 2?\nAnswer: -110848.9297872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -t**4\/4 - 2*t**3 - 3*t**2\/2 - 8*t + 1. Let f(d) = -d**2 + 3*d + 4. Let m be f(5). What is the units digit of c(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -f**7\/210 + f**6\/120 + f**5\/60 - f**4\/24 + 7*f**2. Factor m(t).\nAnswer: -t*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -209.15257599 to 2 decimal places.\nAnswer: -209.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 0*q + q + q. Let l(h) be the second derivative of 0*h**2 - 1\/6*h**3 + 0 + h. Determine k(l(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u**2 + 11*u + 3. Let q(h) = 15*h**2 + 33*h + 10. Let k(p) = 8*o(p) - 3*q(p). Let n(r) = r**2 + r + 1. Let f(m) = -k(m) - 4*n(m). Give f(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11011 (base 2) to base 3\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7078 and 11852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -80 (base 11) to base 9\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (48\/6 - 18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 5, -81.\nAnswer: -81, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 452. Let k(x) = -603. Let r(z) = -3*k(z) - 4*y(z). Let m(t) = 14*t - 3. Calculate m(p) + 2*r(p).\nAnswer: 14*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22056\/95576)\/(2\/((-104)\/(-6)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 12) to base 9.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 9. Let z = 0 - 7. Let t be r(z). Suppose 0*m + m = -t, 3*g - 36 = -3*m. Calculate the lowest common multiple of 22 and g.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -2 + 2 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 320.6 - 321. Suppose 0 = -4*j + 1 - 5. Which is the second biggest value? (a) j (b) m (c) -0.5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(((r**2*r)\/r)\/r))**(-28)*r**(-1\/3)\/r*r**4 assuming r is positive.\nAnswer: r**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 18*o**2 + 6*o + 101. What is k(-18)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 10*w - 120. Determine h(15).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -289 = 24*f - 1009. Suppose -f = -11*i + 14. Suppose -2*k + 75 = 13. Calculate the least common multiple of k and i.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 14 + (-17 - -23) - 7.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6)\/(sqrt(6)\/sqrt(2)) - sqrt(2)) + -5)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -12*((5\/(-2))\/(-5))\/(-1) + 7652?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 560?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 455829746 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -657, -706, -787, -900?\n\"Answer: -16*v**2 - v - 640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d - 9. Let w = 836 - 846. Calculate m(w).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*a**3*p**3 - 2*a**3*p**2 - 42*a**3 - 34*a**2*p**3 + 2*a**2*p - 2*a*p**2 - 8*p**2 wrt a?\nAnswer: -132*p**3 - 12*p**2 - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7255133 is divided by 480.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26226678 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/711 and 69\/2.\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*r + 54 = -726. Calculate the remainder when ((-4)\/(-3))\/((-14)\/(-777)) is divided by r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -108, -899, -3046, -7227, -14120, -24403, -38754?\n\"Answer: -113*d**3 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 7 = -1. Suppose 2*q + 18 = 3*l - 4, 40 = -i*q + 4*l. Let d be (14 - 23) + 29 + -28. Is d smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t - t - t - t + 0*t + 0*t + 5*t + 0 + 0 + (t - t + 2*t)*(-1 + 1 + 1))*(-1 - 2 + 1) in the form m + j*t and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 9*m = 4*m, 6 = -3*m. Does 15 divide (24\/g)\/((-1)\/(-5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4021 plus 18828?\nAnswer: 18829.4021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-26))**(1\/52))**(-41) assuming x is positive.\nAnswer: x**(1025\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.38 + -2.65. Round t to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*f*l*t**2 + 5650*f*t**2 - 58*l*t**2 - 2*l - 12 wrt f.\nAnswer: -5*l*t**2 + 5650*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28263719 a multiple of 1189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5998250303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -1) + -28 + (-13 - -24)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -968*q**2. Let c(i) = -397473*i**2. What is c(x(l))?\nAnswer: -372441740352*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 28. Sort 4, h, 3 in ascending order.\nAnswer: 3, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34752816 a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*t + 19*t**2 - 18*t**2 - 8*t to m*t + k*t**2 + z and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 * -0.049.\nAnswer: -0.00343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**2)**(-8))**37)**12 assuming a is positive.\nAnswer: a**(-7104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 118 - 120.41. Let q = 0.81 + r. Is 1 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = x + 281748 - 281694, -x = 2 + 2 for u.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - c + 1. Let f be a(2). Suppose f*u - 5*o - 5 = 0, -4*u + 2 = -u - 2*o. Let t = 16.06 - 16. Which is greater: t or u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1439 - 276. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 843 + -532. Suppose 3*l + 5*j - 3*j = t, -j = -2*l + 212. Does 21 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 3*s + 428. Suppose -3*t - 419 = s. Round t to the nearest ten.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 741*u**2 - 335*u**2 - 3948*u**2 as g + f*u**2 + q*u and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) -4 (c) -1\/3 (d) -2405 (e) 1 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**2 + s. Let c be d(-3). Let k be 5 + 3*(5 + -4). Calculate the greatest common factor of k and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -50 - ((1 - 1 - 13) + -8)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -9*l + 1. Let v be (0\/(-18))\/(6 - 3). Let f be j(v). Calculate the highest common divisor of f and 71.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k - 15. Let f be g(12). Let d = 3 - 2. Which is the nearest to -2? (a) f (b) 0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 13591 and 8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) 0.16 (c) 340\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f. Let j(t) = 651*t**2. Determine p(j(g)).\nAnswer: 1302*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 12:51 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-45)*5)\/((-20)\/12). Do s and 2\/19 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 37280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -21*a. Let p(j) be the second derivative of -j**4\/6 + 2*j. Give p(d(v)).\nAnswer: -882*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 82*k**2 - 5*k + 396. Let s be t(82). Sort 46, -3, s.\nAnswer: s, -3, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 72655665*b**2*n**2 - 3*b**2*n - 5*b**2 - 432*n + 504 wrt n?\nAnswer: 145311330*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/2 - 5\/20*(54 + -496).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 221949169 from 259.\nAnswer: -221948910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -186*n**2 - 187*n**2 + n + 561*n**2 - 189*n**2. Let f(m) = -6*m**2 + 2*m + 1. What is f(v) - 2*p(v)?\nAnswer: -4*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -43, 4, -14, 8 in increasing order.\nAnswer: -43, -14, -5, -2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.2 - 1.3. Let c = -0.5 + j. Let p = 2339866 + -2339866.2. Put c, 1\/4, p, 1\/12 in decreasing order.\nAnswer: 1\/4, 1\/12, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 141*m**2 + 55*m + 56. Determine n(-1).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/22*-14*(175 - 164) - -105?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*b**2 + 4*b**2 - b**2 + (-3*b + 27*b + 0*b)*(-5*b + 4*b - b) to i*b + t + k*b**2 and give k.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31099\/8640 + -1\/1728. Which is the biggest value? (a) -0.1 (b) -0.5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -2 (b) -0.03 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 7. Suppose 0 = -w*i - 26 - 2. What is the tens digit of 1*26*i\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 11:36 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185394 is divided by 303.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*o - 151*o = 2*w + 52, 2*w = -o - 44 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 10*a**5 + 66*a**4 + 22*a**3 - 90*a**2 - 32*a + 24 = 0.\nAnswer: -6, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**5 - 58832*v**4 + 294096*v**3 - 529336*v**2 + 411692*v - 117624 = 0. Calculate v.\nAnswer: 1, 2, 14703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*o = -20*o - 4*y - 125952, 2*y = 4*o - 167956. Round o to the nearest 1000.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 6:22 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/167268 and 97\/9468.\nAnswer: 501804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s - 1. Suppose 5*g - 2 = 3*t, 2*t - 18 = 4*t + 5*g. Let o(j) = 3*j + 5. Let b be o(t). Let c = 6 + b. Give f(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 329*z - 185*z + 120*z + 1 + 441*z + 243*z.\nAnswer: 948*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2059399718 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -196*h**2*p**3 - h**2*p - 2*p**2 - 20*p wrt p.\nAnswer: -1176*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 5 + 4 + 4 - 35899*q.\nAnswer: -35899*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 8, 4*q - 4*s + 201 = 197 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 339 - 344 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06129 to three decimal places.\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4\/7 (b) -1\/3 (c) -9\/2 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 32*x**2 - 2. Let z(d) = 33*d**2 - 3. Let r(b) = -4*w(b) + 3*z(b). Let m(s) = s**2 + 1. Let i(j) = -6*m(j) - r(j). Differentiate i(n) wrt n.\nAnswer: 46*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 0*i + 3 - i)*(0*i**4 - 2*i**4 + 4*i**4 + (-i**3 + 1 - 1)*(10 - 10 - 2*i) + i**4 + 2*i**4 - i**4).\nAnswer: 6*i**5 + 18*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 3*r + 14. Let w be 5\/((-35)\/(-7)) + 13*-7. Let n be r*(275\/w + 3). Which is the closest to -0.08? (a) n (b) -1\/6 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 smaller than -0.0675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4*(0 - -2))\/(2 + -4). Suppose r + 202 = -k. What is r rounded to the nearest ten?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4733*f*l**6 + 31*f*l**2 + 561*l**3 + 2*l**2 - 9*l + 73 wrt l?\nAnswer: -567960*f*l**3 + 3366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2*(-1)\/4)\/(4\/(-184)). Suppose 6*z + i = 47. Let l = 4 - 2. Solve w = j - l, -4*j + 0*j = z*w + 32 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/19 or -3.9?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p**4 - 6*p**3 - 18*p**2 - 14*p - 3. Let c(b) = b**4 - b**3 - b**2 + b + 1. Let r(k) = 3*c(k) - v(k). Find f, given that r(f) = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4797 and 136981?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-10)\/(-5)*1*-2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50872.38 decades to millennia.\nAnswer: 508.7238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -105668 or -105667?\nAnswer: -105667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -5*j + 30, -3*i - 33 = -i - 48*j + 217 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f - 4. Let g be r(-3). Suppose -w - g = -4. Solve 4*i - 4 = w*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15b8427 (base 13) in base 12?\nAnswer: -2424042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22714 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p + 70 = 16. Solve p*d = -3*z - 12, -20 = 3*z + 2*d - 7*d for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 526931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 912 and 228.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2807946918*c**3 + 5615893758*c**3 - 2807946882*c**3.\nAnswer: -42*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 6:32 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16 + b7ed?\nAnswer: b803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6992 + 8684. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*p + d, -3*p + 2*p + 3 = 3*d. Suppose p*r - 8 = -4*r. Suppose -5*n + 66 = -4*q, 3*n + n + r*q - 32 = 0. 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: Let c = -4 - -11. Suppose 0 = -4*z + 5*w + 21 + 126, -5*z - 4*w + 194 = 0. What is the remainder when z is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1618518 divided by -2?\nAnswer: 809259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-259*g + 9*g**2 + 259*g)*(-g + 5 - 5 - 2 + 2 + g + (-5*g + g + 2*g)*(0 + 2 + 0)).\nAnswer: -36*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 5*j + 2. Let f be z(-5). Suppose -5*p + f*a = 2700008, 3*a - 2324693 = 5*p + 375319. Round p to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - z = 14, 0 = 3*z - 6 + 15. Suppose -5*v + l = -3*v - s, -5*s - 34 = -3*v. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 338 and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 + -31. Calculate the common denominator of (-16)\/12*(-2 - 46\/b) and (-181)\/60 - (-4)\/(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*a + 23, 2*a - 5*l - 23 = 24. Calculate the remainder when 65 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a hour in seconds?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13692 and 18?\nAnswer: 41076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*k = 21*k + 805. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -12*l**3 + 434*l**2 - 127*l + 1974. Give d(36).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 5, -4, -164, 9, 11 in ascending order.\nAnswer: -164, -7, -4, 5, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2436, -4889, -7372, -9879, -12404?\nAnswer: -14941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*m + 0*m - m)*(2 - 4*m - 2) + 6*m**2 + 10*m**2 + 4*m**2.\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/5*(11025\/(-60))\/49?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36\/5 - 18\/5*o - 2\/5*o**2.\nAnswer: -2*(o + 3)*(o + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 31\/274131?\nAnswer: 31\/274131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/294371 and -29\/8.\nAnswer: 2354968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 21*m**5\/20 - 3*m**2\/2 + 20*m. Differentiate v(o) wrt o.\nAnswer: 63*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9*24\/(-24)*1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 n when four letters picked without replacement from efxevvnnqen.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186178 is divided by 20650.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(351\/(-13))\/(-9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8935 and 510.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 993989 and 1529?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 831001?\nAnswer: 67, 79, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/11*q**2 + 16\/11*q - 14\/11 = 0 for q.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**3\/7 + 3344*m**2 - 10028*m + 46792\/7 = 0. What is m?\nAnswer: 1, 2, 5849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38.2 - 7.2. Let y = 5124.275 + -5155.27491. Let g = y + m. Round g to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190 + 47 - 11*u + 18*u - 72 - 10*u.\nAnswer: -3*u - 215","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-1 + sqrt(1100) - sqrt(1100))**2 + 2 - (((sqrt(66) + (-3*sqrt(66) - sqrt(66)) - sqrt(66))*-4)\/sqrt(6))**2).\nAnswer: -2808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 46783, 0, 1 in increasing order.\nAnswer: -35, 0, 1, 46783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 5*c. Let i(h) = -6*h. Suppose 0 = -5*b + 4*u - 31, b + 2*b + 20 = u. Give b*v(g) - 6*i(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/378)\/(2\/(-3))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.7 times -3630?\nAnswer: 140481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 1)*(-2)\/14. Let u = -14.15 + 0.15. Let z = -13.9 - u. What is the nearest to j in z, -2\/7, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3242 - 2972. Calculate the lowest common multiple of 5670 and b.\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 a, and 2 e when four letters picked without replacement from hdhdaeeedeea.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 7 = 9. What is the smallest common multiple of 11 and q?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 4 = 102*s - 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 4*l**2 + 5*l + 13. Let i be w(-3). Suppose 0 = 2*q - q - 3. Let k(v) = -7*v**2 + 4 + v**3 - q*v + 6 + v. Give k(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/935 and -69\/33770.\nAnswer: 574090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2036*i + 2036*i + 14 + 60*i**3 - 88.\nAnswer: 60*i**3 - 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2214, 1913, 1500, 969, 314, -471?\nAnswer: -1392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 22533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0133 and -36.\nAnswer: -0.4788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -145. Suppose 27*g - 25*g = y. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 0 - 32 = 0. Suppose 3*u - d = -u. Suppose 36 = 3*y - 2*t, -u*t - 53 = -4*y - t. Calculate the least common multiple of y and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3578, 3580, 3582?\n\"Answer: 2*p + 3576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 327 and 12063.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 208 + -203. Suppose r*w + 1049 = 4*o, 34*o = 33*o - 4*w + 257. Is o a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-120)*((-5)\/25 + 176\/(-20))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*q**3*x - 2*q**2*x - 4*q**2 - 224*x with respect to q.\nAnswer: 12*q**2*x - 4*q*x - 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3814279411 to the power of 1\/2, to the nearest integer?\nAnswer: 61760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 11:52 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0327 take away 269230?\nAnswer: -269229.9673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 889*s - 882*s = 126 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/3))**(-48)\/(h**(1\/4))**(-20)*((h*h\/h**(-1))**(-14\/13))**(-43) assuming h is positive.\nAnswer: h**(1663\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + o - 9. Suppose -91 = -7*t - 70. Let b be j(t). Solve 3*d = b*u, 5*d - 2*u = -5*u - 32 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f - 4. Let z be o(-3). Suppose -3*t + 41 = h + 2*t, -184 = -z*h - 4*t. What is the remainder when 141 is divided by h?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from zkqccq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 430 = -2*j - 420. Let h be -1 + 7 - (162\/(-8))\/(18*20\/(-7680)). Is j >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.53988ng to tonnes.\nAnswer: 0.00000000000004653988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.25+-14205421\nAnswer: -14205420.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-1963)\/(-130) - (1 - 8).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 2 - 3) + (1 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-seven quarters of a microgram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-460)\/(-9) + (-1)\/9. Let f = 152 - 108. Let a = j - f. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: 1647 * -0.3\nAnswer: -494.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -24. Let q be m*(35\/15 + -2). Suppose 2*z - 51 = p + 9, q = 5*z - p - 156. What is the remainder when z is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.5 and 115908.\nAnswer: 173862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -i**5\/20 + i**4\/3 - 7*i**3\/6 + 5*i**2\/2 - i. Let q be n(2). Let j be (1 + -1)\/(-1 - 1). Is q at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 - (-15015)\/588) + (2 - 36\/28).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**3 + i**3 + 4*i**5 + (-3*i + i**4 + 3*i)*(3 - 3 - i) + 9*i**4 + 5*i**5 - 9*i**4 + (-i**3 - i**4 + i**3)*(0 + 0 - i) - 2*i**5 + 1 - 1.\nAnswer: 7*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 5*r**2 - 5*r - 5. Suppose 3*y = y + 4*q + 22, -3*q = 5*y - 68. Let g(c) = -c**2 + 5*c + 7. Let k be g(7). Let p = k + y. Calculate a(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 78781167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 339213151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 2*x - x)*(0 + 0 + 1)*(-4 + 4 + 1) + (0 - 5 + 4)*(9*x + 12*x - 26*x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1837, 7\/2, 0 in decreasing order.\nAnswer: 1837, 7\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 1\/30, -4463, -0.1, 7\/3, -2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 0.1. Let h = -1.2 + d. Let m = 31444 + -31442. Which is the closest to h? (a) -1\/4 (b) m (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -110\/13 or -0.032?\nAnswer: -110\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 9*b = -10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -14. Suppose 59*t + 910 = 189*t. Calculate the remainder when t is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*b + 3*b - 325, 327 = 5*b - 4*u. Suppose -4*a + 2*w = -b + 23, a + w - 8 = 0. Let m(l) = -l**2 + 12*l - 2. Is 9 a factor of m(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7157\/6 + -1218. Calculate the common denominator of i and -2 - (-98)\/4*1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31043\/3033 + 1240\/337. Calculate the common denominator of (-314)\/(-222) - 2\/6 and l.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 6:37 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 438.6702, -0.2, 10 in ascending order.\nAnswer: -0.2, 10, 438.6702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0252 - 0.0252. Let q = -6 - -6. Let y = -70 + 701\/10. Which is the closest to m? (a) -5 (b) q (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7, 12, -4 in decreasing order.\nAnswer: 12, 7, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 609415319?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58122 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3 = 17. Let d = -45 + 78. Suppose -a*q - 26 = -l, -3*q = -4*l + l + d. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 100105668*z**4 + 2*z + 329980200?\nAnswer: 1201268016*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -496, -559, -634, -727, -844, -991, -1174, -1399?\n\"Answer: -p**3 - 56*p - 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 48 - 5 - (87 + -89)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7\/2, 0.6, 40, 2\/123, -5?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/(-156) + 23\/65. Does 5 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -29. Let g = i - -22. Which is the closest to -1? (a) 3 (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + (6 - -26) + -45?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59 - -9. Let d = l - -54. What is the lowest common multiple of d and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 3*r - 2*g, 15 = -3*r - 60*g + 57*g for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (155\/(-2)*82\/(-205))\/1. Solve -46 = -15*s - t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130 (base 5) to base 8\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2231326220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - f + 8 + 5 - 35 - f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, m: 4}. What is prob of sequence tmm?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -10*g**2 - 219*g + 873. Give v(4).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52558055.\nAnswer: 5, 11, 955601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 252 and 684?\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 72500730?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m - 24. Let i = -21 + 7. Let j be p(i). Calculate the greatest common divisor of j and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyycyycyy. Give prob of picking 1 c and 1 y.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 40*z**3 + 3*z**2 - 69*z + 39. List the prime factors of l(6).\nAnswer: 3, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/5, 6, 0, -3, -2\/3, -1\/50?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -133905 - -672487\/5. Which is greater: b or 592?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 4*h**3 - h**2 + h - 6. Let t(i) = -21*i**3 + 0*i**2 + i**2 + 10*i**3 + 12*i**3 - i - 1. Let s(k) = t(k) + y(k). Differentiate s(j) with respect to j.\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + -5 - -9 - -14) + 62 + (8 - 12)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10*3 - (-2)\/(-1). Let w be (-6)\/(-70) - 8\/u. Let g = -4\/5 - w. What is the second biggest value in -0.2, 1, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 1:49 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -17. Is y not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 483\/7*(-35)\/(-42)*10\/(-25)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 144 (c) 13\/3 (d) 10 (e) -2.3 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 128104 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 543 and 125614?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 374 divided by -6\nAnswer: -187\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 382 divide 69281853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29718?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43 - 46 - 6*g + 8*g**2 - 53 + 57 to y + z*g + n*g**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -112 (b) 4 (c) -1\/4 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17280*a**2 - 11481*a**2 - 7492*a**2 + 29411*a**2 + 24842*a**2.\nAnswer: 52560*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*1 + ((-90259)\/8908 - 1\/(-4)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -415020 divided by 5\nAnswer: -83004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**2 + 1 - 2*o**4 - 46*o**3 + 2*o + 0*o + 47*o**3 as k*o**3 + r*o + l*o**4 + b*o**2 + y and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*q = q - 59508. List the prime factors of q.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u - 4. Let y be n(-3). Let r be 4 + (y - -1)\/(-3). Let p = 0.4 - 2.4. Which is the second smallest value? (a) r (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25*1383\nAnswer: 34575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -3*z**4\/2 + 67*z**2 - 2. Let b(c) = 10*c**2. Determine x(b(w)).\nAnswer: -360*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - -6. Let g(l) = l**3 + 7*l**2 - l - 2. Let h be g(-7). Let c(u) = -28*u - 250. Let a be c(-9). Solve -a*y - 2*y = -h*d - 2, y + r = -5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**5\/4 + 135*l**4\/4 - 235*l**3\/2 + 105*l**2\/2 + 475*l\/4 - 345\/4 = 0. What is l?\nAnswer: -1, 1, 3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u. Suppose 2*o - 25 = -5*c, 0 = -3*c + 4*o + 1 + 14. Let f = c + 8. What is the remainder when l(-6) is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + 2*f**2 - f**2)*(-f**2 + 3*f**2 - 4*f**2) - 9 - 36891*f**3 - 6340*f**4 + 36891*f**3 + 9.\nAnswer: -6338*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11544)\/(-4810)*(-195)\/(-18)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 710308 - 316829. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32869 - 4075783\/124. What is the common denominator of 4\/279 and t?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -992 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15\/(-9))\/((-1)\/3). Let j = -3 + o. What is the third derivative of -3*r**2 - 2*r**j + 5*r**4 + 0*r**2 wrt r?\nAnswer: 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (60\/8)\/(-15)*170\/1. Let n = i + 108. Calculate the remainder when 32 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 4*y - 20, 4 = 2*y - 2*v + 3*v. Let l = 120 + -119. Solve l = a - y for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p + 30*p = -5*d + 2105, 4*d + 848 = 2*p. Let x = 857\/2 - p. Factor 15\/2*g**2 - x*g**3 + 1\/2 - 7\/2*g + 2*g**4.\nAnswer: (g - 1)**3*(4*g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 1\/2*k**2 + 9*k - 1. Is 3 a factor of n(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333196 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1100) + (sqrt(396)*-3)\/sqrt(9))\/(((-1*sqrt(64))\/sqrt(4))\/(sqrt(4) + sqrt(80)\/sqrt(5))).\nAnswer: 69*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 2*d - 10. Suppose -10*n + 1 = 10*n + 1. What is m(n)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6293.634 rounded to the nearest 10?\nAnswer: -6290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 165626, 165404, 165034, 164516, 163850, 163036?\n\"Answer: -74*c**2 + 165700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 6:13 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -962*m**3 - 144*m**3 - 1906*m**3.\nAnswer: -3012*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1814 (base 10) to base 2.\nAnswer: -11100010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 1\/5, -4\/277.\nAnswer: -0.03, -4\/277, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 259 - 255. Let g = 75\/2 + -37. What is the smallest value in -0.02, i, g, 2\/7?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4038 is divided by 301?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5*j + 5, -4*n - 2*j = -5*j + 1. Suppose n*o + o = -42. Let q = o - -1. Let k(y) = 4*y**3 + 7. Let d(a) = 9*a**3 + 15. Determine q*k(w) + 6*d(w).\nAnswer: 2*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -166 - -187. What is the second derivative of -2*n - 10 - u*n**2 - 40*n**2 + n wrt n?\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -241, 1, -1615.\nAnswer: -1615, -241, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 - -36. Let z be (4 - (-19)\/(-2))*2. Which is the smallest value? (a) z (b) -1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.2 + 8. Let u = v + -2.25. Round u to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-4))\/(3\/30). Let n = -11 - p. Suppose -5*y + 5*g + 2 = -13, -4*g + 20 = n*y. Solve 0 = y*h - 3*u + 20, h - 6 = -6*u + 4*u for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-25)*-2*(-55)\/(-22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -6 - 12 - -6) + 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j**2 - 51*j - 160. Let o be x(-6). Solve -u = -o*t - 3, -3*t - 13*u + 3 = -16*u for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 5:30 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 - -42. Let f = 3106846.99981 - 3106831. Let y = f - r. What is y rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*f**2 + 6*f = 0 for f.\nAnswer: -3\/28, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4687 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-3)*12\/(504\/3).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -16, 1\/2, -0.02?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 - 360*d - 708.\nAnswer: -3*(d + 2)*(d + 118)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63308414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1543548 + 5?\nAnswer: -1543543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 716 at least -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36\/7 + -106\/21. Let x = q - -17\/42. Let n = -0.8 + -0.2. What is the nearest to 0.1 in n, 1\/3, x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 18. Let j = 0.46 + -0.06. Let a be 1*-5*4\/12. What is the third biggest value in w, j, a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*f*k**4 - 2*f*k**3*t + 19*f*k**2 - f*k - 2*k + 292*t wrt k?\nAnswer: 84*f*k**2 - 12*f*k*t + 38*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*r**2 - 17*r**2 - 22 - 15*r**2 - 3 - 14*r**2 - 2*r**3 to the form x*r**3 + q*r + h*r**2 + g and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 631\/3 + -29663\/141. Let z = 80 - 83. Let a be ((z - (-3 + 0))*1)\/(-1). Which is smaller: a or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -0*n. Let y be (3\/(-4))\/((-2)\/8). What is the second derivative of h**5 + h + n*h - y*h**5 wrt h?\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15.9693 * -0.1.\nAnswer: -1.59693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + 33*i - 6 + 200, -w + 20 = 5*i + 52 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -5*d + 18, -d - d + 5*v - 36 = 0. Solve -d*r = 3*j + 14, -41 + 23 = 2*r + 5*j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -8*w**2 + 1\/480*w**6 + 1\/240*w**5 + 0 + 0*w**3 - 1\/48*w**4 + 0*w. Factor o(z).\nAnswer: z*(z - 1)*(z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46*d**3 - 24*d**2 + d wrt d?\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 18*w**3\/7 + 35844520*w**2\/7 + 115498834*w\/7 + 23896308\/7 = 0.\nAnswer: -1991359, -3, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1943*d**3 + 1950*d**3 - 4*d**2 + 4*d**2.\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1737939?\nAnswer: 3, 7, 82759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31228 = 6627*s + 859603 for s.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1470 divided by -245.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -1326*f + 3*f**2 + 1323*f - 1 + f**3 + 5. Determine a(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3. Let f be o(0). Solve -5*r + 16 + 9 = f for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -g + u, 2*g - u = -4*u + 288. Let t = g - 40. What is the remainder when t is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/9 and -56\/4761.\nAnswer: 4761","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g**2 - 54*g - 131. What is f(16)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31878 is divided by 31810.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 30\/37 (c) 0.5 (d) -0.6 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-five quarters of a century?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -22*w - 63. Let i(y) = 11*y + 28. Calculate -3*f(t) - 5*i(t).\nAnswer: 11*t + 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 393*b - 194*b - 197*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18898.42 hours to microseconds.\nAnswer: 68034312000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 - d**2 + 6*d**2)*(-3251*d + 7265*d - 2939*d) - 3*d**3 - d**3 + 2*d**3.\nAnswer: 2148*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**5\/3 + 8*j**4\/3 - 10*j**3\/3 + 4*j**2\/3.\nAnswer: -2*j**2*(j - 2)*(j - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 + -0.9. Let q be 106\/(-1)*(-6)\/(-12). Let w = q - -211\/4. Put o, 0.5, w in increasing order.\nAnswer: o, w, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, v: 2, f: 2}. Give prob of picking 1 k and 1 v.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*((-33)\/9 - -2). Let b be (h\/(-2))\/(4\/(-8)). Suppose -v + 2*i - i = -9, b*v - 63 = -4*i. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177*g**2 - 653*g**2 + 144*g**2 + 171*g**2 + 169*g**2.\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 820247?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*x + 14423 = h + 46*x, 2*h + 5*x - 28835 = 0. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -213 divided by 3.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/9 and 43\/7509?\nAnswer: 22527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -2 - (-207 + 191)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 9*m**5\/40 + m**4\/8 - 2*m**3 - 12. Let a(b) be the third derivative of n(b). Find the first derivative of a(y) wrt y.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*g**2*t + 24*g**2 + 30*g + 6*t**3 - 26*t wrt t?\nAnswer: -2*g**2 + 18*t**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 10*m - 2 - 2 to the form r*m + u and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 833*h + 832*h - 34 = 0, -3*i + 4*h - 48 = 0. Let j(u) = -170*u**2 + u + 1. Let n be j(-1). What is the units digit of (i + 7)\/(2\/n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-90)*5\/(-6)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*l + 976, -4*l + 2008 = -3*h - h. What is the remainder when l is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90149, 7, 11 in increasing order.\nAnswer: 7, 11, 90149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 22. Let c = -17.85 + 2.75. Let h = y - c. What is the third smallest value in 1, h, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/84 and 5\/114814?\nAnswer: 688884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + sqrt(833) + sqrt(833) + (-1 + 0 + sqrt(833))**2)*3.\nAnswer: 2490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 - -33. Suppose 0*t = d*t + 23871. Let b = 47617\/6 + t. Find the common denominator of b and -77\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 907.7735 centuries to months.\nAnswer: 1089328.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*t + 28*t. Suppose 4*r = 21 + 7. Solve t = -3*v - u + 2, -4*u + 1 = 2*v - r for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**3 - 139*b**2 - 67*b - 206. Give n(70).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6247 and 10.3.\nAnswer: -64344.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.042 + 2.18453\nAnswer: 2.22653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 + 14. Does k = -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dnn when three letters picked without replacement from {d: 9, z: 5, n: 2}?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 99 - 99. Suppose q = -6*z + 11*z. Solve -y + 4 = s, -3*y + 12 = -2*s - z*s for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2286 is divided by 65.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13011 + 13011.5. Which is the nearest to -1? (a) 4 (b) z (c) 8\/5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, o: 1, e: 2, v: 1, x: 1, m: 2}. What is prob of picking 1 v and 1 o?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**2 - 5*f + 5. Suppose 4*r + n - 5*n = -16, 0 = 3*n. Let p(w) = w**2 - 2*w + 2. Let m(l) = r*a(l) + 10*p(l). Let h(d) = 7*d**2. Determine m(h(x)).\nAnswer: -98*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**3 + 51*s**2 + 27*s - 24. Give d(26).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 600936 a multiple of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 36*x**5 - 3*x**3 + 47*x**5 + 12*x**3 + 37*x**5 - 123*x**5 + 26*x**4 = 0.\nAnswer: -1\/3, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*y - 3*y - 5*y)*(3 - 4 + 3)*(-1 - 3 + 3) to the form o*y + z and give o.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 478327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 - 54. What is the second derivative of 18*o - 37*o - 20*o**4 + l*o wrt o?\nAnswer: -240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 164 + 88 = -22*l, -23755*l - 13 = -23756*l + 3*n for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 832 + -829. Solve -d*j = -2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4192*j - 78 = 6*f + 4190*j, 2*f + 19 = 3*j for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 2907171?\nAnswer: 2907171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6 - 6 - -2) + 5 - -5) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5665832?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -76 - -64 - (-22 + 1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i + 4*i + 16*i + 7*i.\nAnswer: 39*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - g - 4. Let w(q) = -4293*q**2 - 1431*q - 5724. Let f(r) = 1431*l(r) - w(r). Let k(o) = -o**2. Calculate k(f(y)).\nAnswer: -8191044*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0526204182 rounded to six dps?\nAnswer: 0.05262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1544 = -39*k + 172*k + 60*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, -5, -27, -49, -71, -93?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*c - 79203 = -81*c. Round c to the nearest 100.\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 914*a**3 + 1113*a**3 - 2028*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1892, -3813, -5760, -7733, -9732, -11757?\n\"Answer: -13*l**2 - 1882*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7676.5 - -7678. Which is the third smallest value? (a) -4\/13 (b) 4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327783938 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -298, -1019, -2188, -3811, -5894?\n\"Answer: -v**3 - 218*v**2 - 60*v - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*b**2*i**3 + 884*b**2*i**2 - 4*i**4 wrt i?\nAnswer: -174*b**2 - 96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-12) - -2)*(-11 + -9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -306*w - 3*w**2 - 1 + 25*w**3 + 8*w**3 + 311*w to the form x*w + r + k*w**3 + g*w**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/17, 2\/5, 5, 0.3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 13 = -4*w, 4*c + 538*w = 534*w - 8. Let j(s) = -s**2 + 2*s + 2. Let x be j(2). Put -1, x, -15, c in descending order.\nAnswer: x, -1, c, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6}. Give prob of picking 3 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 6\/5*p**3 - 16\/5*p - 26 + 34\/5*p**2. Factor v(q).\nAnswer: 2*(q + 4)*(9*q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -0.02. Let q(d) = -7*d**2 + 94*d - 44. Let y be q(17). Let j = y - -3285\/7. Which is the second smallest value? (a) s (b) j (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 28*c**2 - c - 11. Let a(t) = t**2 - 1. What is 22*a(o) - 2*g(o)?\nAnswer: -34*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1875.202153541 and 23?\nAnswer: 1852.202153541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 + 6*i**2 + 3*i.\nAnswer: 3*i*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*l*r**2*y**2 + 2*l + 37*r**2 - 218*y**4 wrt y?\nAnswer: -4*l*r**2*y - 872*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60159, 120316, 180469, 240618?\nAnswer: 300763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 171, -711, -2181, -4239, -6885, -10119, -13941?\n\"Answer: -294*c**2 + 465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**5\/20 + 3*t**4\/4 + 3*t**3\/2 + 9*t**2\/2 - 3*t. List the prime factors of k(-7).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 6*b - 809. What is the greatest common factor of b and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 3\/2, 5\/12, -1\/4, 49?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19161119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.064 - 0.124. Let i = -0.74 + z. Do i and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*k - 23*k + 9*k)*(-28 - 36 + 63 + 11*k) - 3*k**2 + 0*k**2 + k**2 + 6*k - 5*k**2 + 2*k**2 + k**2 to the form j + s*k**2 + a*k and give s.\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/40 and (-56)\/77*(-81)\/(-90).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**3 + 2 - 2 + (-3*w + 2*w + 3*w)*(-4*w**2 + 2*w**2 + w**2) - 4*w**3 + 8 - 6 + 0.\nAnswer: -8*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2349495913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -5*o**2 - 1\/42*o**7 - 4\/3*o**3 + 0 + 9\/40*o**6 + 3\/2*o**4 - 5\/6*o**5 + 0*o. Solve j(c) = 0.\nAnswer: 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*n = -4*n - 574 + 144. Solve -5*c + 5 = -n*j, 23*j - 18*j = -7*c + 19 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -206195 or -206196?\nAnswer: -206195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/8)\/((-21)\/3)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167 = -163*l - 1471 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 198663 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d - 1. Let k(m) = 6*m - 6. Let f(t) = k(t) - 5*s(t). What is the units digit of f(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 11*t. Let s(z) = 35*z. What is s(r(a))?\nAnswer: 385*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*h - 5 + 9*h + 9 wrt h?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t + t - 10*t + (-t - 1 + 1)*(1 - 3 + 1)*(1 - 2 + 5) + 3*t + t - 5*t)*(8 - 4 + 4) to the form j*t + i and give j.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89759?\nAnswer: 89759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u - 8. Let m be j(10). Let i(b) = -b - 35. Let z be i(m). Let y(w) = -2*w - 5. Let n(f) = -6*f - 14. Give z*y(h) + 6*n(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 53777 divided by 13?\nAnswer: 53777\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94278089.\nAnswer: 94278089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 - 11*t + 14)*(3 + 4 + 7)*(6*t**2 + t**3 - 6*t**2) to the form l*t**3 + x*t + o + d*t**2 + p*t**4 and give p.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 - 19039 - 10803 - 1774 - 2*y - 896.\nAnswer: -y**2 - 2*y - 32512","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.51 and -69.822?\nAnswer: 105.43122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - k = -10845, 2*q - 2*k - 257 - 4093 = 0. Suppose 3250 = 3*g - 2*j - 0*j, 3*j + q = 2*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*w + w - 284 + 60 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 11 = -2*b, -u = 9*b - 8*b + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 78?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 - 2*o**2 + 11*o**2)*(-8*o + 7*o - 8*o)*(-5*o + 4*o + 3*o).\nAnswer: -126*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 2:47 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**2 - 16*j - 15. Let y(r) = 5*r**2 + 25*r + 23. Give -8*n(f) - 5*y(f).\nAnswer: -f**2 + 3*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - 7. Let x = 13 + k. Suppose 7*n - 18 = 5*n. Calculate the remainder when n is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 39\/(3\/(-6) - -2). Let q be ((-50)\/(-15) + -8)*15\/(-1). Find the second derivative of 20*x - 23*x**2 - q*x + 20*x + j*x wrt x.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 89 + 5\/(0 + -5). Let u = -84 + h. Suppose 4*r + 0*p - p - 152 = 0, -u*r = -2*p - 156. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.5, -7, 6, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36461 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62247*b**2 + 7314*b**2 + 17*b + 61644*b**2 - 18*b.\nAnswer: 131205*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343736949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 33.9. Which is the nearest to 3? (a) l (b) -3\/7 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**3\/3 + 4*p**2\/3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**4 - 5*c**4 - 8*c**4 + (-c**3 + c**3 + c**4)*(-4 + 1 + 5))*(-18 + 9 - 28).\nAnswer: 407*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y + 2*y - 4*y + (-4 + 0 + 5)*(3*y - 3*y - y) - 3*y + 0*y + y - 33 - 29*y + 31 + 81*y to a*y + u and give a.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/44 and 28\/352187?\nAnswer: 1408748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -70*l**3 - 3*l**2. Let c(b) = -7839*b**3 - 335*b**2. Give -3*c(z) + 335*w(z).\nAnswer: 67*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**3 + 53*f**2 - 287*f + 144. Give i(18).\nAnswer: 486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, f: 1, p: 4}. What is prob of sequence pjp?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/18*(-18)\/4. Suppose 40 = -5*k - j*v, -2*v - 39 = 4*k - v. Let d = k + 21. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -165*o**3 + o**2 - 62*o*p - 10181*p wrt o?\nAnswer: -495*o**2 + 2*o - 62*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5025*k - 2351. Is l(14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -21 + (-65 - -66) - -30?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -122154089 and 689.\nAnswer: -122153400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -50 and 123?\nAnswer: -6150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*o**3*w**3 - 122*o**3 + 3*w**4 + w**2 wrt w.\nAnswer: -180*o**3 + 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 137, -77, -0.06, 4\/5, 5?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 - 47*d + 28. Let i be c(-24). Suppose 0 = -i*t - 3*m, 0*t - m = -4*t. Let z = 4988\/51 - 292\/3. Which is smaller: t or z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 922918834?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (0 + -8 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116045 is divided by 1222.\nAnswer: 1177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 118 + -107.6. Let k = j + -10. What is the closest to -1 in k, 1\/5, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x - 31. Let w(z) = z + 33. Let t(q) = 3*o(q) + 4*w(q). Suppose -11 = -h + 4. What is the remainder when t(h) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100101011111 + -1011110110?\nAnswer: 1011001101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 1. Let d = 42 - 54. Let o = 12.3 + d. Which is the closest to o? (a) -2 (b) 0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (62 - 65 - 36)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**3 - 22*h**2 - 7*h - 35. Calculate the remainder when l(-12) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 3 = -5*p - 7, -9*p = 11*i - 5*p + 75 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y**2 - 697*y - 15711. Give w(-111).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 3 = 0, -178*c = 5*m - 174*c - 19 + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37476183 to the power of 1\/3, to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57528.0056023 + 57528. Round j to 5 dps.\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -124, -303, -784, -1717, -3252, -5539, -8728, -12969?\n\"Answer: -25*m**3 - m**2 - m - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20776 and 4664?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**5 - 23619*n**4 + 825734*n**3 - 6932324*n**2 - 32376456*n + 453001472 = 0.\nAnswer: -7, 14, 23584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 29195745 to the nearest 10000.\nAnswer: 29200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*c**2 - 7615*c + 8795772 with respect to c.\nAnswer: 38*c - 7615","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -2. Let d = 0.69 + 0.52. Let j = -1.91 + d. Is j smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 + 20)*36\/450.\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6\/11, 32.8, -4175, 0, -0.5?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 83153 or 83154?\nAnswer: 83154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 18.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2808521 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*g + 9. Let w = -4 - g. Let o(c) = -c - 2. What is o(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.24506141 rounded to 2 dps?\nAnswer: -8.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t**5 - 53259459*t**4 + 174995511*t**3 - 205429569*t**2 + 98910546*t - 15217008 = 0 for t.\nAnswer: -2536168, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*b + 31*b + 4 = 0. Suppose -b*x + 15 = -5*m, m = -3*m + 4*x - 16. Suppose 189 = -5*j + 6*j - 3*a, 0 = -a - m. What are the prime factors of j?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5849 by 37.\nAnswer: 5849\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-5)*2295\/1836.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3025030.5 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1623)\/9)\/((-3)\/9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 + -1 + 2)*-1. Suppose -v = d - 10. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1562 divided by -46509\nAnswer: 1562\/46509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 15*s + 22*s - 69*s to c*s + q and give c.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1086, -27, 1032, 2091, 3150?\n\"Answer: 1059*t - 2145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/9*0 + 5. Suppose 2*m + 1 = n. Find the third derivative of 3*g**4 + 0*g**m + 0*g**2 + 2*g**2 wrt g.\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**3 - 43 + 43 + (-3*s**2 - 2*s**2 + 3*s**2)*(-3 + 3 - s) in the form n*s**3 + m*s**2 + q + a*s and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5373 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4154?\nAnswer: 2, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 113, 14, -2 in ascending order.\nAnswer: -2, 14, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115 + -66 + (-1 - (23 + -71)).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/662 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 17*f**3\/6 - 17*f + 2. Let z(m) be the first derivative of a(m). Let q(p) = -2*p**2. Give q(z(k)).\nAnswer: -578*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 1. Let t(z) = -z**2 - 3 + 5*z**2 + 8 - 3*z. What is 5*g(r) - t(r)?\nAnswer: r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -b - 3, b + 1 + 2 = 3*p. Let f = -17571 + 17570. Put 0, f, -7, b in increasing order.\nAnswer: -7, b, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-100)\/(-231) - (220\/77 + -2). Let j = g + 494\/231. Factor -6\/7*o + 6\/7*o**3 + 12\/7 - j*o**2.\nAnswer: 6*(o - 2)*(o - 1)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 557 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2668 - -2671. Let v(l) be the third derivative of -1\/24*l**4 + 0*l + 0 + 0*l**z - 17*l**2. Let m(d) = -d**2. Give m(v(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 1:43 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -73*((-6)\/(-21) - (-27)\/(-21))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1041*c**4 + 2*c**2 - 5*c + 155 wrt c.\nAnswer: -24984*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * -203.7.\nAnswer: -2648.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 83*n - 3228. Give k(39).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -9*t + 4. Let n = 17 - 6. What is the smallest common multiple of j(0) and n?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32997*0.2.\nAnswer: 6599.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 - -48. Suppose 5*x + 2*s - 63 = 0, -2*s = 5*x - b*x + 67. Suppose -5 - x = -2*i. Is 9 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31292851.\nAnswer: 31292851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ql when two letters picked without replacement from yjjqqwjyljqj.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.039617589 to 3 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12763*k**5*w**2 + k**5 - 4*k**2*w**2 - 18051*k*w**2 - 3*k + 5*w wrt k?\nAnswer: -765780*k**2*w**2 + 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 300*q - 276*q. Let g = 9.64 - 10. Let m = 0.04 - g. What is the second smallest value in -1, q, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2992\/1440)\/((-4)\/(-6) - 0\/4) and 109\/730?\nAnswer: 4380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*d**2*o**3 + d**2*o**2 + 11900*d**2*o + d*o**3 - 46*d*o - 148*o**3 - 8*o + 1 wrt d?\nAnswer: 40*o**3 + 2*o**2 + 23800*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1377) + 4 + 0 + (sqrt(170)*-2)\/sqrt(10).\nAnswer: 3 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 12:38 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3729799313?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1046040 + 22?\nAnswer: 1046062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by 28?\nAnswer: 23\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 739 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5\/6 (b) -2 (c) 0.2 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5055 and 0.0203828.\nAnswer: 0.5258828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(3\/69)\/(((-351)\/27)\/13).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5920291*k - 5900737 wrt k.\nAnswer: -5920291","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 6*w**2 + 4*w + 32. What is c(8)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -319327, -638653, -957979, -1277305, -1596631?\nAnswer: -1915957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -420*t + 23244 = 27*t + 361*t + 86*t for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(6\/(-7)) + ((-165)\/(-5) - 4).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i\/i**(2\/17)*i*i*i)\/((i\/i**(-1))\/i))**20)**50 assuming i is positive.\nAnswer: i**(83000\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202 + -211120121?\nAnswer: -211121100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -5 - 7 + 3*t - 11. Let v be l(10). Does 13 divide (-143)\/3*(v\/(-1) - -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*t**2 + 0*t**5 + 7*t**5 + 0*t**5 + 7*t**2 wrt t.\nAnswer: 420*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 39 + 115 = -2*s, 107 = -3*s - j. Let c be 0*(s\/27)\/(-4). Solve f + g = 0, 3*g + c*g + 16 = 5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l = 22 - 4 + 27. Solve 5*k - 2*k - 17 = 5*r, -l*k = 2*r + 11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46003?\nAnswer: 179, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**5 + 12*a - 15*a**2 - 9*a**3 + 111*a**4 + 0*a**5 - 96*a**4 = 0. What is a?\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3131699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3 + 1*(sqrt(1100) + sqrt(1100)*1)))**2*3.\nAnswer: 5760*sqrt(11) + 211632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**5 + 11*a - 10*a - 1 + 9*a**4 - 2*a**5 + 3*a**5 + 0*a**5 - 2*a**5 + a**5 - a**5 + 2*a**5 + (-2*a + 2*a**4 + 2*a)*(0*a + a + a).\nAnswer: 4*a**5 + 9*a**4 + a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 71, 77, 83?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/13 in -43, -0.2, 12, 6, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9784 - -11?\nAnswer: -9773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**4 - 4*o**4 + o**4 + (6 - 6 - 5*o)*(-2*o**3 - 3*o**3 + 3*o**3) - 4*o**4 + 3*o**4 + 2*o**4.\nAnswer: 10*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 387503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 13 = -2*i, -1244813*i = -1244817*i + 24 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 233044938?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6023001 (base 8) to base 3\nAnswer: -2222101220120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -8*h**3 + 157*h**2 + 61*h + 38. What is the remainder when 153 is divided by i(20)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1849 - 288. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4227\/9 + (-2)\/3. Suppose 3*b + b = y - 83, 2*b = 5*y - v. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011010 (base 2) to base 5.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13 - -b?\nAnswer: 1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-5 + 6)) + (0 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 521863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.691812 rounded to three decimal places?\nAnswer: 21.692","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 211, -134, -3\/7, 2\/29, -2\/5 in descending order.\nAnswer: 211, 2\/29, -2\/5, -3\/7, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2 (b) 1 (c) 3 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -3*x - u + 221, -5*u - 119 = -2*x. Let s = 129 - 124. Let o be s\/15 - 46\/(-6). Calculate the highest common factor of o and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-235 - -223) + (1 - 0) - (53 + (-3 - 5)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*((1 - 1 - 2)*(2*f + 1 - 1) + 4*f + f - 4*f + 6*f + 3*f - 4*f)*(2*f**3 + 4*f**2 - 4*f**2).\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 53221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 676161737 divided by 1.\nAnswer: 676161737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 19)*(-4*d + 4*d - d)*(-2*d - 2*d**2 + 2*d) as j*d**3 + s*d + g*d**2 + o and give j.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = o + 3. Let i be (10\/(-15))\/(o\/18). Suppose 2*p + p = -v + 24, 3*v - 42 = -i*p. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4 - 91*x**3 + 2235*x**2 - 16025*x + 35000.\nAnswer: (x - 56)*(x - 25)*(x - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (564851\/(-400862))\/(1\/44).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 1. Let k(c) = 13*c - 4. What is -4*f(x) - k(x)?\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -2\/2501?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15 - b57?\nAnswer: -b42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -16. Let s(x) = 2 - 8 + 0 - 4*x. Determine s(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 818147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s**3\/3 + s**2 + 8*s - 233. Determine v(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2*(1 + sqrt(153) + sqrt(153) + sqrt(153)) - (-5 + -3*sqrt(153))))**2 + 1.\nAnswer: -216*sqrt(17) + 5545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10096 + 10108. Are p and -11\/17 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from ffssfffffsssfffsfsss.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j - 3. Suppose -3*h + 4*h = 45. Let x(u) = 42*u - 124*u + h*u + 38*u. Give r(x(m)).\nAnswer: -5*m - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**3\/3 + r**2\/2 + 48*r. Give p(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2009693\/3 bigger than 669897?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/140 + -3*(-4)\/(-42).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*v = 12, 3*l - v = 2*l. Let d be (-2)\/(-3) - (-11)\/(-3). Let r = d - -5. Does r = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -806 + 801. Let h(l) = 11*l**3 - 4*l**2 - 5*l - 6. Let x(t) = 12*t**3 - 5*t**2 - 6*t - 7. Determine n*x(k) + 6*h(k).\nAnswer: 6*k**3 + k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-19)*u)\/u)\/u**(-2\/39))\/(u**(-13))**(13\/3) assuming u is positive.\nAnswer: u**(486\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 15*b**2 + 5*b - 9. Let y(h) = 8*h**2 + 2*h - 5. Let o(g) = 3*k(g) - 5*y(g). What is the units digit of o(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.983 - 0.96. Let f = 0.223 - s. Let q be ((-16)\/(-4))\/(0 + 1). Put q, f, 3 in decreasing order.\nAnswer: q, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.3, -67, 4\/75, 0.14 in descending order.\nAnswer: 0.14, 4\/75, -0.3, -1, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (525*y + 881*y + 941*y - 635*y)*(1 - 1 - 3).\nAnswer: -5136*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23847\/10 + -2390. Let w = -941\/170 - x. Is -1 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*n + 282 = 238*n + 59*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22497531 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, u: 9, o: 7}. Give prob of picking 4 u.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19\/5 or -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a century in months?\nAnswer: 14100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 942?\nAnswer: 4710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -531876, -9\/4, 4?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.06 - 0.14. Which is the nearest to p? (a) -2\/11 (b) 5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 6:14 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wpwcpatrpwaccar. What is prob of picking 1 r and 3 p?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.05913113 times 12\nAnswer: -0.70957356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -302067.68 - 36.588?\nAnswer: -302104.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2\/11, -3\/4, -13 in decreasing order.\nAnswer: 2\/11, -3\/4, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3607 - 3607 - 2*o + 8*o**2 - 2*o**3 as w + q*o**3 + k*o + r*o**2 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/16)\/(21\/84)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2236 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.06 - -0.56. What is the third smallest value in o, -1\/8, -5\/12?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.01 (b) 0.05 (c) -0.2 (d) 0.1 (e) -45\/7 (f) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 - 2) + -3 + -4 + 14. Suppose x = 2*q - 0*q, -y + 2*q = 2. Solve 0 = 3*v, 4*k + 0*v + y = 2*v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 156.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by -7.\nAnswer: -50\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.46 - -0.532. Let w = n + 0.028. Which is the nearest to w? (a) -2 (b) 0 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47850, 46727, 45610, 44505, 43418, 42355?\nAnswer: 41322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - c**2 + 2*c - 2. Let b be j(2). Suppose 0 = -4*y - b + 26. Factor 3 - 2*s**5 + 4*s - s**3 + 5 + 4*s**4 - 10*s**2 - s**y + 2*s**5.\nAnswer: -(s - 2)**3*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s + 12. Suppose 3*a - 13*a = -51*a + 164. Let t(o) = -3*o - 36. Give a*t(g) + 11*v(g).\nAnswer: -g - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 93 + -64. Let j = k - 15. What is the remainder when 41 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -942.936 - -943. What is the third biggest value in 0.4, p, 5\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - -11 - -5) + -2 + 0 + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 155*t**2 + 2*t + 10. Let c be l(4). Let r = -539 + c. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47.0000082 + 47. Round t to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/6*(-15)\/110. Let j = -37.8 + 7.3. Let h = 37.5 + j. Put a, -1\/4, -2\/9, h in increasing order.\nAnswer: -1\/4, -2\/9, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y + 4*y - 7*y + (4 - 2 - 3)*(0*y - y - y) - 3*y + 0*y + 0*y - 3*y + 0*y - 3*y.\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5070 and 384982.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 66 + 688094106317\nAnswer: 688094106383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 1, -511, -6.\nAnswer: -511, -6, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x + x - 3*x)*(-3 + 4 - 4)*(-3 + 5 - 3) to the form d*x + l and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jhhhjhhhhh. What is prob of picking 4 h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -972024 (base 10) in base 8?\nAnswer: -3552370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 810 in increasing order.\nAnswer: 3, 5, 810","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nuu when three letters picked without replacement from {n: 5, e: 1, u: 4, a: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/375, -0.001509, 4, -0.3, 3?\nAnswer: 2\/375","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 299663102 or 299663101?\nAnswer: 299663102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 10:03 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 2*c + 11. Let q(y) = -3*y**2 + 96. Let s(z) = -4*z**2 + 94. Let t(j) = -3*q(j) + 2*s(j). Let i be t(-10). Determine k(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mb when two letters picked without replacement from bbbbmbbm?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 44405667 - 3?\nAnswer: 44405664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**12*u)**1 assuming u is positive.\nAnswer: u**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u - 5. Let j(c) = 10*c. Determine l(j(f)).\nAnswer: 20*f - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence upl when three letters picked without replacement from lxluxuxuuuap?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 - (0 + 2\/2). Let a = d + 11. Suppose 2*z + 5 + 2 = 5*q, -2*z - q + 11 = 0. Calculate the remainder when z is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 + 33. Let i(r) = -r**2 + 206*r + 26802. Let k be i(-86). What is the greatest common divisor of y and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -6*f**3 + 4*f**2 + 30*f + 1205. Let u(v) = 2*v**3 - v**2 - 9*v - 402. Determine -3*k(a) - 10*u(a).\nAnswer: -2*a**3 - 2*a**2 + 405","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1020 * 7\nAnswer: -7140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.69 - 13. Let f = -0.11 - b. What is the closest to f in 0.2, -0.2, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + -31.2. Which is the smallest value? (a) 7 (b) -0.5 (c) f (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 15) to base 5.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3294*y**3 + 39527*y**2 - 13*y + 6. Determine n(-12).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 677 - 675. Let j = 7.89 - -0.11. Let z = j - 7.7. Put n, 0, z in decreasing order.\nAnswer: n, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (-2)\/(2\/243). Let n = -141 + v. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -10. Let z(p) = 5*p**2 - 3 - 14*p**2 + 10*p**2. What are the prime factors of z(h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4847.\nAnswer: 37, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 476, 1472, 3150, 5510, 8552, 12276, 16682?\n\"Answer: 341*i**2 - 27*i + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 12134175.789227.\nAnswer: -12134175.689227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**4 + 5*h - 4*h - h**4 + 0*h + 0*h + 2*h**4 + (-h + h - h)*(-h - h**3 + h) + 4*h**4 - 3*h**4 - 3*h**4.\nAnswer: 3*h**4 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 191457.41 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-2) - (0 - 9). Suppose -22*r = -7*r - h*r. Solve -1\/4*z**2 + r*z + 1\/4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 q when four letters picked without replacement from {j: 2, t: 4, q: 3}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 + 22 = 31*k - 14. Solve 5*a - 4*m = -31, 3*a + 3*m + 1 = k for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p + 3. Let i be w(0). Let d = 57\/28 + -7\/4. Let j = 0 + -1. Which is the nearest to j? (a) -2\/7 (b) d (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by ((-12)\/(-8))\/(-1)*(-140)\/6?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66788828?\nAnswer: 2, 349, 47843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hofoohooiiih. What is prob of picking 1 o and 3 i?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -1. Let v(o) = -o**3 - 3. Let u = -987 + 989. Give u*v(q) - 6*h(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a hour in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(3267) - sqrt(3267)) + sqrt(3267))*-6 - sqrt(3267))\/(-1*-3*sqrt(324)).\nAnswer: 55*sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kbbxkxxxkbxxxkxxxx. What is prob of picking 1 k and 3 x?\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 20782 (b) 4 (c) 0.5 (d) 2\/9 (e) -1 (f) -6\/11 (g) -4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8 - 70*q + 1 - 7*q**2 + 71*q wrt q?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 3.92. What is w rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*d - 8*d. Suppose 2*f = 4*q + 22, d*q - 5*f + 36 - 2 = 0. What is q rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13574196*a**2 - 10690296*a**2 - 2750647*a**2.\nAnswer: -27015139*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -8. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 1:04 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 56\/15 in 4, 3, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pinz when four letters picked without replacement from {p: 1, i: 4, o: 1, h: 1, n: 5, z: 7}?\nAnswer: 35\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.055*1\nAnswer: -0.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 497308673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2303?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -151 - -150.91. Let r = 0.39 + x. What is the closest to -2\/7 in 3, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 - 35*a + 40.\nAnswer: -5*(a - 1)*(a + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -32*k**2\/9 + 41200*k - 119351250 = 0.\nAnswer: 23175\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7982.\nAnswer: 2, 13, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zo when two letters picked without replacement from xxojxxxyloloylyxxjz.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/2 + 29926738*b - 447804823660322.\nAnswer: -(b - 29926738)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-v + 7*v + v)*(-2 + 0 + 3) + 7*v - 3*v + 2*v)*(-4*v + 0*v + 2*v).\nAnswer: -26*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (13 + 12 + -16).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 57, 86, 115?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 11, 27, 59, 113?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -1*48\/(-112) + 1 + (-448176)\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -23a?\nAnswer: -23a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45\/19 + 547\/247. Which is the smallest value? (a) 0 (b) 1\/4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*w**3 + 45133*w - 1610571 wrt w.\nAnswer: 12*w**2 + 45133","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 303 - 302.9614. Round w to three decimal places.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -341851 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -20*t + 123. Let k be m(-6). Calculate the highest common divisor of k and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3712440 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5194747 days to milliseconds.\nAnswer: 44882614.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**2\/2 - 52010*z + 520125\/2 = 0. What is z?\nAnswer: -104025, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulluluqeqllluqe. What is prob of sequence eq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*z + 2073 - 764 + 3139 = 0 for z.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001 - 10?\nAnswer: 100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 17 = 37. Is ((-10522)\/n)\/((-18)\/90) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.680569um to millimeters.\nAnswer: 0.003680569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 19*v**3 + 9*v**2 - 204*v - 173. Let b(t) = 6*t**3 + 2*t**2 - 68*t - 58. Let j(i) = -7*b(i) + 2*s(i). Solve j(m) = 0 for m.\nAnswer: -3, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 365758.0004 - 365820. Let u = -62 - o. Let p = 0.000399473 + u. What is p rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 2 (c) -2\/5 (d) -2\/7 (e) -4\/189\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2543.\nAnswer: 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 13 = -3*l + 4, 3*l = q + 13. Solve -p + 2*p = l for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/4 - 429357*i**2\/4 - 858711*i\/4 - 429355\/4.\nAnswer: -(i + 1)**2*(i + 429355)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 31166712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2308558 by 8582.\nAnswer: -269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 4*t - 7. Let l be b(4). Let u = l + -25. Suppose 56 + u = 2*c. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 79746612.\nAnswer: 1196199180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4579 + -178552\/39. What is the common denominator of -42\/5 and v?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -1, -2\/27, 1\/5?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 33\/2 (b) -6 (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16ff85 (base 16) in base 4?\nAnswer: 11233332011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/6 - 20\/30. Let g = 8 + w. Let o = -3 + g. Is o a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 5*n - 17, k - n - 7 = 4. Let x(y) = y**2 - 12*y - 16 - k - 20 + 59. Calculate x(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24325, 24328, 24333, 24340, 24349, 24360, 24373?\nAnswer: 24388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13108299.00062 + -13108435. Let j = k - -136. What is j rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -j**2\/2 + 1. Let o(c) = 49*c + 46*c - 92*c. Give b(o(w)).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**6\/24 + d**5\/60 + d**4\/12 + 2*d**2. Let t be g(-1). Solve 0 = -t*x + 8*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, p: 4, c: 2, l: 2, u: 3}. Give prob of sequence zuz.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 6:00 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 + -33. Let d be ((-204)\/o)\/((-4)\/18). What is the second derivative of 3*w**4 - 51*w**2 + d*w**2 + 12*w wrt w?\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -183 times -59\nAnswer: 10797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*h - 85*h + 198. Solve 11*a = h*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 271, -4, 0, 1, 170.\nAnswer: -4, 0, 1, 170, 271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58 + -28. Let c = x + 139. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 222668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 25*z**2 + 39*z + 165. What is the thousands digit of r(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13319337487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 43523.2 times -0.72\nAnswer: -31336.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -h + 2*h. Let j = h - -4. Suppose 0*r + 25 = 5*r - 5*s, -4*s - 16 = -2*r. What is the biggest value in j, r, -0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 594\/(-594)*((-4)\/3)\/2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, z: 4, x: 9}. What is prob of picking 2 x and 2 w?\nAnswer: 54\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 58898670 a multiple of 541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.56, -3, 0, -17\/16, 2\/13 in descending order.\nAnswer: 5, 2\/13, 0, -0.56, -17\/16, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.258 + 5.758. What is the fourth smallest value in g, -9, 0.02, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*x - 4 = -259*x - g, 11*g = -2*x + 384 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -6305*t + 996. What is c(0)?\nAnswer: 996","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - j**2 + j - 1. Let x(w) = -36*w**3 - 2*w**2 + 2*w - 2. Give 2*m(h) - x(h).\nAnswer: 38*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/46)\/l**(-20))\/((l**(-5)*l)\/(l\/l**(-2\/63))) assuming l is positive.\nAnswer: l**(72479\/2898)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1820 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*g - 451*g + 201*g.\nAnswer: -293*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/2527, -0.1, -5, -2?\nAnswer: 2\/2527","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 1962636.\nAnswer: 3925272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 126*l - 1. Let z be c(-2). Let q be z\/(-66) + 2\/12. Suppose 2*t + q*j = 114, -114 = -4*t + j + 87. List the prime factors of t.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (55\/5973)\/(1195\/1434)?\nAnswer: 2\/181","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.707 rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 960429 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (360*f**2 - 795*f**2 - 374*f**2)*(-7 - 1 - 3) to the form u*f**2 + x + c*f and give u.\nAnswer: 8899","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 2. Suppose x - 9 = 2. Solve q*l + x = 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (9 + -11 - (2 - -5) - -9) - 48?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -6*x. Suppose x = -4*s - 20, -5*s = -4*w + 5 + 24. Let j be 1 + (6 - (-4)\/(-7 + 6)). Solve w - j = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*j = 92*j + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 3 + (6 - 11) + 24 + -4 - -25.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2519 minus 0.21139121?\nAnswer: -2519.21139121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m**2 - 75*m**2 - 27*m**2.\nAnswer: -94*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**4\/16 - 5*p**3\/3 + 25*p**2\/2 + 150. Factor f(c).\nAnswer: c*(c - 10)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, o: 13}. What is prob of picking 2 o?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 29*s**2 - 60*s - 6. Give g(31).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9015, 9014, 9013, 9012, 9011, 9010?\n\"Answer: -h + 9016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**3 - 14*g**2 - 6*g - 5. Give v(-4).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -10*i + 3. Let m be k(1). Let w(g) = -g**3 - 9*g**2 - 15*g - 3. Let x be w(m). Solve -3*j + 2*y - 11 = 0, 0 = j - x*j - 5*y - 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**3 + 527551*i**2 + 17394312656*i - 4348611136 = 0. Calculate i.\nAnswer: -65944, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 606184, 606149, 606098, 606025, 605924, 605789, 605614?\n\"Answer: -g**3 - 2*g**2 - 22*g + 606209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u - 6. Let v be n(-5). Suppose 0 = 5*x - v*x. Let p = 4 + x. What is the lowest common multiple of p and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -378*b**2 - 11*b + 11. Let q(c) = 206*c**2 + 6*c - 6. Let a(w) = -11*q(w) - 6*v(w). Let o(z) = 124*z**2. Give a(o(t)).\nAnswer: 30752*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (45 - (5 - -9) - 10) + (4 - 1)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (-3)\/(6\/(-22)). Let y = q - -35. Let b = y + -5. Calculate the remainder when b is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 z when two letters picked without replacement from zkzeuakzz.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*k + 326 + 124 - 32 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 337*v**2 + 434*v**2 + 369*v**2 to d*v + b*v**2 + f and give b.\nAnswer: 1140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10 and 0.605?\nAnswer: 10.605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 45*z - 36*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 839986 to the power of 1\/2, to the nearest integer?\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4\/10*(-15)\/3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 0)*(78 - 3*r + 4*r + 0*r + (1 - 1 - 1)*(0 - 2*r + 0) + 0 - r + 0 - 2 + 2 + 3*r).\nAnswer: 15*r + 234","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7 - -8)*-1 + 2. What is the fourth biggest value in 5\/4, -0.5, m, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2300 (base 5) to base 3.\nAnswer: 110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193*u = -214*u - 3612. Let a be -4 + ((-1)\/9 - u\/36). Solve 4\/3 - a*h - 4*h**2 + 4\/3*h**4 - 2\/3*h**3 = 0 for h.\nAnswer: -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 + 0.6. Let m = 1 - n. Put m, -1\/7, -5 in increasing order.\nAnswer: -5, -1\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -522*m + 12692 - 10877 + 18543 for m.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 7*x**2 + 8*x + 8. Calculate u(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4 + (sqrt(17) - (sqrt(1088) - -5*sqrt(1088))) + -1 + sqrt(119)\/sqrt(7) + -5)**2.\nAnswer: 1104*sqrt(17) + 36116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + 9. Let t(n) be the second derivative of -n**4\/12 + 3*n**3 - 15*n**2 + 397*n. Let g be t(b). Solve -5*d - 2*m + m + g = 0, -3*m - 11 = d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/(672\/(-186)) + 2*2. Let n = 0.55 - 0.25. Which is the smallest value? (a) n (b) d (c) -0.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -412.49 rounded to the nearest ten?\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 0.19, 0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80895270?\nAnswer: 2, 3, 5, 71, 163, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 661363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1044, -4416, -10118, -18150, -28512?\n\"Answer: -1165*a**2 + 123*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 6840*f + 114. Let g(l) = -l - 7. Give a(g(t)).\nAnswer: -6840*t - 47766","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 777768 and 219144.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 990 and 51943320?\nAnswer: 51943320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = 44*h - 25*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 29*z**2 - z. Let k(n) = -2*n - 17. Give k(u(q)).\nAnswer: -58*q**2 + 2*q - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.06 (b) 3\/11 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = -113*r + 119*r. Solve 0 = b + r*n - 19*n + 15, -2*b - n - 3 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -231 or 21301.9?\nAnswer: 21301.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by -24571\nAnswer: -36\/24571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9801 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 3\/2 (c) -0.06 (d) -0.127\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/((-4)\/(-2)))\/(-2). Suppose x*n - 4*n + 28 = 0. Let y(l) = -l + 10. What are the prime factors of y(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*q - 108 + 18 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -123938 divided by 164?\nAnswer: -61969\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5.7, 4.825 in descending order.\nAnswer: 5.7, 4.825, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, s: 9}. Give prob of picking 2 g and 1 s.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(2\/13))*p)**(4\/3)\/(p\/(p\/(p*p\/(p\/(p\/(p**(-11)\/p)))*p))*p**5) assuming p is positive.\nAnswer: p**(-240\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 290*t - 269*t - 42 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -69 (c) -935\/18 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 32\/(-6)*9\/(-12). Solve -j - 4*h + 20 = 3*j, f*j + 2*h = 18 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 529857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 25*z + 15. Give o(10).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -29157, -60497, -91845, -123201, -154565, -185937, -217317?\n\"Answer: -4*m**2 - 31328*m + 2175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 4*v + 6*v + 11)*(-1 + 1 + v) as y*v**2 + u*v + z and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162 divided by 4.\nAnswer: 81\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrmbbmbbb. Give prob of picking 1 m, 1 b, and 1 r.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557 is divided by 182?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7*10\/(-280)*(-128)\/(-48). What is the nearest to 3\/8 in g, -2\/9, -36?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/185285 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/11 + 51906243*n\/11 - 103812490\/11.\nAnswer: (n - 2)*(n + 51906245)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i*i**31*i*i)\/i)*i**(-6\/11)*i)\/(i*i**0*i\/(i*i**(-1\/23)*i*i*i)))**6 assuming i is positive.\nAnswer: i**(-44916\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4 - 34*r**3 + 108*r**2 - 110*r + 37.\nAnswer: -(r - 1)**3*(r + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 5*w + 28 = 0, 8*n - 7*w = -3*w + 44 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*w - 207 = -37*w - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 18, 171, 586, 1395, 2730?\n\"Answer: 22*n**3 - n**2 + 2*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3*b + 3 = 2*i, -4*b = 2*i - 10. Let z(q) = q**3 - 10*q**2 + 9*q - 6. Let s be z(9). Let h be s\/(-10) + (-234)\/465. Which is greater: h or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a**4 + 13*a**2*d**3 - 2*a*d + 403*d**3 + 1 wrt a?\nAnswer: -4*a**3 + 26*a*d**3 - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u**3 + 5*u**2 + 3*u - 1. Let p(i) = -5*i - 19. Let m be p(-5). Is q(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -7*w**2 - 814*w - 481. List the prime factors of a(-107).\nAnswer: 2, 3, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(425) - (sqrt(425)*-2 + sqrt(425))).\nAnswer: -60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i + 35*i**2 - i - i to the form h + c*i + q*i**2 and give q.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20173*g**5*r**3 + g**2*r**3 + g*r**3 + 2012*g*r**2 + 2*g*r + r**2 wrt g.\nAnswer: 403460*g**3*r**3 + 2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmqm when four letters picked without replacement from {m: 2, q: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2. Let m be 6\/(-4)*4\/3. Let c(y) = y**3 + 2*y**2 + 3*y + 2. Let b be c(m). Let s be ((-2)\/b)\/(2\/(-8)). Give v(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103231311113 (base 4) in base 13?\nAnswer: 10bc689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 603 = 9*u - 1566. Let m = 56 + u. What are the prime factors of m?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375 = 3*y + 2*y. Suppose 5*a = -3*q + y + 419, a - 88 = 3*q. Suppose 0*z = z - a. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) + sqrt(468) + 3 + sqrt(468) - sqrt(468))*2 + sqrt(468))*2.\nAnswer: 12 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 16*c**2 + 15*c. Suppose -3*v = -58 + 13. Let g be l(v). Suppose 5*z - 634 = t, g = 4*z - 0*z + 5*t - 513. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (74\/8)\/((-8)\/(-32))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**1\/l)**43\/(l*l*l**0)**15)**(-21\/4) assuming l is positive.\nAnswer: l**(-294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 p when two letters picked without replacement from ppppppppppapaapp.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 - -58 - (3 - -18)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*p - 8*p + 60. Suppose -12 - 342 = -s - p*w, -2*s = -4*w - 728. Is s a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.5 + 22. Let v = 15.500109 - y. Round v to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 672 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = a - 10. Find the common denominator of 91\/6 and 466\/(-84) + (-10)\/a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/6)\/(76\/171)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1367.\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -746.1 to the nearest 10.\nAnswer: -750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-8))\/(6 + 244\/(-40)) - (-2338)\/98. Find s such that 99\/7*s**2 + 30\/7*s**3 + m*s + 60\/7 + 3\/7*s**4 = 0.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1398 - -2033. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 8, -8, -6 in descending order.\nAnswer: 8, 0, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)*3*-1 + (4*sqrt(102) - sqrt(102))*1 + sqrt(102))\/(sqrt(216) + -5*1*sqrt(216) + sqrt(216)*2*6).\nAnswer: sqrt(17)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*g**4 + 27*g**4 + 4*g**4 + (-g**3 - g + g)*(-18 + 18 - 15*g) to the form i*g**3 + c*g**4 + t + u*g + p*g**2 and give c.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -31*v + 90. Let f(h) = -7*h + 23. Determine -9*f(q) + 2*l(q).\nAnswer: q - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 11:23 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32602458 is divided by 134.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -55\/8*h**4 + 253\/9*h**3 - 15\/2*h**5 + 4\/3*h + 38 - 31\/3*h**2. What is x in c(x) = 0?\nAnswer: -2, 2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 306 and 12895197?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61.579643821 - 0.579638421. Let r = -61 + p. What is r rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 374 and 98846?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/663840 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -33 - 2)*(-181 - -44) + 5. Calculate the highest common divisor of g and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -0.232.\nAnswer: -0.0232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 0*a + 2*a + (3 - 1 + 0)*(a + 0*a + 0*a) - 4 - 2*a + 4)*(2 - 2 + 3*a) + 0*a**2 - a**2 + 0*a**2.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 4*t**2 - 4*t. Let l(j) = j**2 - 7*j + 1. Suppose 17 = -4*q + 41. Let n be l(q). What is u(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 24 = 2*l - l, 5*a = 5*l. Solve -l*t + 33 = 5*m, 7 = -m + 2*m + t 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) -0.2 (b) 1\/2 (c) 2950\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -147*a**2 + 33*a - 33*a - 33*a**2. Let y(b) = -3*b. Give v(y(f)).\nAnswer: -1620*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a gram in milligrams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -322*j*o**6 + 45*j*o**2 + 2*j - 2*o**2 wrt o?\nAnswer: -38640*j*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2641 and 58519?\nAnswer: 1111861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -43*r + 1. List the prime factors of k(-1).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (4 - 5)) + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 904140 is divided by 904006.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3707 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**2. Let j = -436 + 441. Let b(z) be the second derivative of 0 + 5\/3*z**3 + 0*z**2 + j*z. Determine b(f(k)).\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 41171 = -27*i + 32*i, -13720 = -u + 2*i. What are the prime factors of u?\nAnswer: 2, 3, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**3 - 11*z**2 - 10*z + 9. Let j be o(-4). Suppose 6 = 3*w - 0. Let v(i) = w*i - 3*i - i. Determine v(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 563, 1837, 3959, 6923, 10723, 15353, 20807, 27079?\nAnswer: 34163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert c0ba5 (base 14) to base 2.\nAnswer: 1110001000110111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 404 and 4?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**5\/300 - 13*p**4\/8 + 197*p**3\/15 + 3*p**2 - 1765. Factor n(j).\nAnswer: -(j - 2)*(j + 197)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - -46)\/((-54)\/(-36)). Suppose -3*j - x = -41. Find the third derivative of -2*g**5 + g**j - 4*g**6 + 1073*g - 1074*g + 4*g**2 - g**3 wrt g.\nAnswer: -480*g**3 - 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/(-20)*(-1)\/(-12)*3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 242914855, 242914854, 242914853?\n\"Answer: -q + 242914856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-126)*17\/(170\/(-12)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99601 and 429407.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -74 + 104. Let s be 9\/(27\/48) - 5. Let g be 2\/s - (-2465)\/55. What is the greatest common factor of g and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 172.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 4*i**7\/15 + i**4 - 2*i**2 + 35*i. Find the second derivative of k(d) wrt d.\nAnswer: 672*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, 2\/7, 10, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12982 is divided by 1321.\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-5 - (1 - 20))) + 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 895223.1ml to litres.\nAnswer: 895.2231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 8*s + 9*s - 10*s - 7 + 9. What is y(-4)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.3389595 to 2 dps.\nAnswer: 2.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 76\/10 + (-4)\/(-10). Suppose -2*s = -5*s + 6. Calculate the remainder when ((-36)\/c)\/((-1)\/s) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140) - (sqrt(140) + 1*sqrt(140) + sqrt(140))) + sqrt(140) + sqrt(140) + sqrt(560)*-3 + sqrt(35))\/(sqrt(252)\/(sqrt(36)\/sqrt(4)))*-4.\nAnswer: 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9303 = 276*c - 16755 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 5:36 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - j - 5. Let t be z(5). Suppose -5*h + t = 0, -2*h + 6 = 3*x + 15. Let p = x + 8. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*((-5)\/(75\/(-72)) - 5) + -1. Sort 0.1, 6\/13, h, -14, 2\/9.\nAnswer: -14, 0.1, h, 2\/9, 6\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 39*f - 3051. Determine o(85).\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 157920 and 5969?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/66 and -45\/88.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = l + 26. What is l rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 445152 to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -129*s**3 + 245*s**2 - 41*s**3 + 293*s**3 wrt s.\nAnswer: 738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 5 (c) -3\/7 (d) -13 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/(-637)*42\/(-8)*(-64)\/(-36)*3\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 104704674 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-2*-3*(6*3*sqrt(1331))**2*-3.\nAnswer: -15524784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dhadddh. Give prob of picking 1 h, 1 a, and 1 d.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of t**6\/120 - t**5\/240 + 14*t**2. Determine s, given that g(s) = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1237807166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 5:28 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 34952.76 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -70d57 (base 16) in base 11?\nAnswer: -296262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 18 (b) 0.59 (c) 26 (d) 5 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (6 + (6 - 2))) + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 9*b - 19. Determine n(9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(110) - 2*-3*sqrt(110))\/((sqrt(10)*-3 - sqrt(10))*-5))**2.\nAnswer: 14*sqrt(11)\/5 + 6939\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-3))\/(6\/(-9))*-27. Find the third derivative of -p*y**5 + 0 - 6 + 5 + 7*y**2 + 3*y**2 wrt y.\nAnswer: -1620*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 530574.2 and -0.3.\nAnswer: 530573.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -685415012*z + 420082751 wrt z.\nAnswer: -685415012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 56761758?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -240, -229, -216, -207, -208?\n\"Answer: -h**3 + 7*h**2 - 3*h - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 120607691.946.\nAnswer: -120607696.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17861293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0299473 to three decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 d when three letters picked without replacement from {y: 3, m: 4, d: 1}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + 1)**2 + -1 - ((sqrt(84)*-1 + sqrt(84) + sqrt(84))\/sqrt(12) + 1*sqrt(7) + 1).\nAnswer: 18*sqrt(7) + 699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.1 + 0.1. Let l = -44.4288 + 49.4288. Which is the closest to -4? (a) g (b) 2\/7 (c) 2\/11 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1911454, -7645795, -17203036, -30583177, -47786218, -68812159?\nAnswer: -93661000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**8)\/(s*s\/(s\/s**(8\/3))))\/(s**(-2\/21)*s**(-5\/3)*s) assuming s is positive.\nAnswer: s**(128\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 278099, 556203, 834309, 1112417, 1390527, 1668639?\nAnswer: 1946753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -6. Suppose -3*y + 8*y + 5 = n. Let a be y\/(-1 - (-15)\/18). Solve 0 = 4*g - 2 - a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28799 - 28795. Solve -2*o + 6*o + 3*p = 30, 0 = t*o + 2*p - 24 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) -4 (b) 39\/37 (c) -1 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 56 = 54. Calculate the lowest common multiple of 28 and u.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -87.9, -0.01, -162 in decreasing order.\nAnswer: 5, -0.01, -4, -87.9, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.7617795 millimeters?\nAnswer: 0.0007617795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 463*x - 649962 + 649962 to h + m*x and give m.\nAnswer: 463","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -54a3 (base 15) to base 13\nAnswer: -8211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1102 is divided by 257?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3601*v**2 - 2*v - 1. Let z be l(-1). What is z rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 10*v - 10. Calculate f(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -148. Let d = i + 173. Calculate the remainder when 124 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -204.9879 rounded to one dp?\nAnswer: -205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/((2*sqrt(12) - sqrt(12))*4 - sqrt(12)) + (sqrt(750) + sqrt(750) + -1*sqrt(750) + sqrt(750))\/sqrt(10).\nAnswer: 31*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3071101?\nAnswer: 11, 17, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 - 9)\/((9\/18)\/(-1)). What is the greatest common divisor of v and 1752?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 0 - 2\/27*r**3 - 1\/54*r**4 - 7*r - 1\/9*r**2. Factor p(f).\nAnswer: -2*(f + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -15*x**2 - 15*x + 7. Let v(g) = -7*g**2 - 7*g + 3. Let s(f) = 4*a(f) - 9*v(f). What is s(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/27 + 10\/27. Let c be (328\/40 + -20 - -14) + 2\/(-10). Factor -4\/3*x + n*x**c + 4\/3.\nAnswer: (x - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1073.2 + -1100.2. Put -0.2, r, -14, -0.1 in ascending order.\nAnswer: r, -14, -0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50893.\nAnswer: 50893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48573*d**2 + 2934*d - 174817799 wrt d.\nAnswer: -97146*d + 2934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3892*v**2 - 18*v**3 - 13*v**3 + 3898*v**2 - 7790*v**2.\nAnswer: -31*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65 + 67. Solve -m = j - 6*j + 8, 3*j - 2 = y*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 1307470 = 4*x + 3*a, -a + 1634352 = -5*x. Let d = -1406506 - -789636. Let q = x - d. Round q to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -421\/3 + 141. Let w(m) = m**3 - 3*m**2 + m - 3. Suppose s + 1 = 2*y, -8 = -4*s - 0*s + 2*y. Let h be w(s). Which is smaller: j or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -874*k - 905*k + 1 - k**4 + 5*k**3 + 1780*k + k**2 to the form r*k**4 + z*k**3 + j*k + x + p*k**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 9*m**2 + m + 11. Let r be p(-9). Suppose 7*q - 10 = r*q. Let g = q - -1. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/15*21*330\/132?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001110 + -10100?\nAnswer: 111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68 - 128*h - 68)*(2 - 6 + 8)*(-3 + 2 + 0).\nAnswer: 512*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b**2 + 0*b**2 + 0*b**2)*(0*b + b - 3*b) + 2*b - 2*b + 2*b**3 + 83*b**3 + 2047 - 2053 - 22*b**3 as r*b + c*b**3 + d + k*b**2 and give c.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14 (b) 0.76 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 6*w + 4. Let m be r(6). Suppose 15*x + 1426 = 5656. Let g = -277 + x. Solve -5*t - 24 = -m*a + 3*a, 40 = -g*t + 5*a for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.07 (b) 4 (c) 29 (d) -16 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*s - 41 = 5*y, 3*s + y = 35. Let n be 24\/9*s\/8. Let q(d) = -d + 8. What is q(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1)**(-28)\/(t\/t**(-12)*t**(-13)\/t))**(-26) assuming t is positive.\nAnswer: t**702","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (8 + -1 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.260529971 rounded to three decimal places?\nAnswer: 3.261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**3 - 2*f**2 + f + 4. Let k be y(-2). Let p be (-3768)\/k + (-1 - (-4)\/5). Let w = p - -931. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 170 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32*1.7.\nAnswer: -54.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + -2422?\nAnswer: -2404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*v + 6 = 0, -3*a + 2*v = -v. Suppose -1 = b + g, -a*b + g + 1 = 2*g. Suppose 4 = 4*q, b*r - 2*q - 39 = 7. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1832194937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -28) + 4 + (28 - 34) + (5 - -2)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10\/9, 24671, -4, 1\/6?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*1*(sqrt(832) + 2) - (1 + sqrt(832) + 4*(0 + sqrt(832)) + sqrt(832)).\nAnswer: -80*sqrt(13) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -5 - 6 - (-6 + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b - 11. Let p(z) = 14*z + 32. Let r(x) = -17*m(x) - 6*p(x). Let k be r(14). Suppose -5285 = 4*q - k*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 take away 553431431675?\nAnswer: -553431431370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 10:34 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 19*z + 1. Let f(p) = 140*p + 57. Give f(y) - 7*x(y).\nAnswer: 7*y + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -103 - -356. Is 37 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5828, -5860, -5916, -5996, -6100?\n\"Answer: -12*v**2 + 4*v - 5820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 634.7312l to millilitres.\nAnswer: 634731.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**3 - 12*p**2 + 86*p + 514. Calculate y(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35653, 142632, 320931, 570550?\nAnswer: 891489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 - 45. Let g be (-6 + 96\/18)\/(f\/3). Find p, given that -1\/5*p**g - 3\/5*p - 2\/5 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y = -11*y - 648. Let q be y\/(-90)*(-30)\/4. Solve -s + 14 = q for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 25 = -3*c. Suppose 2*y + 0*x = -2*x - 14, c*y - 4*x = 10. Let i be ((-66)\/(-2) - y) + 0. Solve 6*t = -4*a + t - i, t + 8 = -a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -14\/183 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2350012971 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 4 + -3 + -273 + 287\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**2 + v**2 + 0*v**2 + (-v + v - 2*v)*(0*v - v - v) + 0 + 0 + v**2 + (-2*v - 3*v + 4*v)*(-5*v + 0*v - 3*v) - 5 + 5 + 2*v**2.\nAnswer: 13*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -18.5, 2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) 573 (b) -6 (c) -5 (d) 103 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85 - 67. Suppose -1778 = 4*r - k*r. Is r even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(10)\/sqrt(2))*5.\nAnswer: 5*sqrt(5) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, w: 5, y: 3, j: 2}. Give prob of sequence jwyf.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 710\/(-11) - 4 - 0. Let t = u + 11645\/154. What is the common denominator of t and 43\/22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3657 is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -7*z**6\/12 + z**3\/6 + 492*z**2. What is g(1)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**3*d**5 - 24*c**3*d**2 + 2985*c*d**5 - 637*d**2 wrt d?\nAnswer: 120*c**3*d**2 + 179100*c*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1267120.\nAnswer: 2, 5, 47, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x**3 - 505*x**2 + 330*x = 0.\nAnswer: 0, 2\/3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**2\/5 + 15094*t + 284786045 = 0. What is t?\nAnswer: -37735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**4 - 13131*r**3 - 131219*r**2 - 118089*r = 0.\nAnswer: -13121, -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(-12)\/9 + (-596 - -600).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**2\/9 + 1179971152*w\/9 - 174041489944025888\/9 = 0. What is w?\nAnswer: 294992788","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9120)\/(-70) + 4\/(-14) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.8 - 5.2. Let g = 4 + p. Let n = -3.2 - g. Sort -4, n, 0 in increasing order.\nAnswer: -4, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 17 + 5. Let o = 4 - 7. Let c(n) = -2*n**3 - 4*n**2 + 4*n + 1. Let g(m) = -m**3 + m - 1. Let t(x) = o*g(x) + c(x). Calculate t(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15361*g**2 - 2714975*g + 2714975*g.\nAnswer: -15361*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 496\/(-72))\/((-16)\/15 - -1).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8049523km to nanometers.\nAnswer: 804952300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7084019.6 - 30.3\nAnswer: -7084049.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 615\/(-1640)*(-96)\/(-492)?\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12836 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196235 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/3)\/(2\/50). Let q = -14 + n. What is the remainder when 31 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 5*a + 15. Let s be z(-7). Let c be (-16 + 15)*(s - 1). Suppose 5*r + 440 - 4835 = c. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 5. Let s be 2\/((1 - -1)*(-6)\/(-18)). Suppose 5*x + s*z = 119, x + 13 = d*x - 3*z. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 3841439.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 132867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -356*o**2*u - 35*o**2 - 2*o*u - 28*o + 212 wrt o?\nAnswer: -712*u - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1392 - 1395. Let x be (-4)\/(-18) - 527\/306. Which is the second biggest value? (a) t (b) -2 (c) 2\/35 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1353\/4760 - 1\/680. Which is the closest to m? (a) 1 (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhhh when four letters picked without replacement from hbhhhhhhhhhhhhhhhhhh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 11) to base 16.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 176, 173, 170, 167, 164, 161?\n\"Answer: -3*r + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*c - 35*c + 5*z - 92, 0 = 4*c - 2*z + 80 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 526062 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -14\/9*i**4 + 0 - 4\/9*i - 2\/3*i**3 + 10\/9*i**5 + 14\/9*i**2 = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -109 - 2*a + 7\/2*a**2. What is p(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5358 and 646532.\nAnswer: 1939596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -5 - 7. Put p, -10, -4 in ascending order.\nAnswer: -10, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, -0.1.\nAnswer: -8, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12913153763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1153 - -1167. What is the closest to o in -4\/5, 2, 1\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25730*q - 259 = 25723*q for q.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -34*w**6\/15 - 46*w**5\/3 - 3*w**2 + 183*w. What is the third derivative of v(q) wrt q?\nAnswer: -1632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 78, -5 in decreasing order.\nAnswer: 78, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5688317, -5688321, -5688329, -5688341, -5688357, -5688377, -5688401?\n\"Answer: -2*a**2 + 2*a - 5688317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 569*z + 6398 + 18069 = 0 for z.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 218746 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21598, 85822, 192682, 342172, 534286, 769018, 1046362?\nAnswer: 1366312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + b9b?\nAnswer: b9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-3836)\/40 - 3132\/(-1305))?\nAnswer: -2\/187","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*q - 10. Let n be (2\/q - 2) + 6. Solve n*f = f + 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + 0.1. What is the closest to 0.2 in x, 3, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 + 351 = -68*k - 86 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 + 5*h**3 + 0*h**3)*(-2 - 7*h**2 + 5 - 5).\nAnswer: -28*h**5 - 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 219 - 93. Let q(j) = 16 - b*j + 3 + 122*j. What are the prime factors of q(-12)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a080e (base 15) in base 8?\nAnswer: 1740240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -30279.39553 to the nearest integer.\nAnswer: -30279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36814 and 29358454?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 22*i**2\/7 + 9926682*i\/7 - 257836 = 0.\nAnswer: -451213, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -88 - -57. Let l = 15 + g. Let v be 2*2*(-8)\/l. Which is the second smallest value? (a) v (b) 0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34157 + 34156.9760039. Let w = 0.776 + -0.8. Let u = l - w. What is u rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 - 980*n**2 - 146584*n - 145600.\nAnswer: 4*(n - 350)*(n + 1)*(n + 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 + 10*q + 3. Suppose 96*j = 109*j - 13. Let y(m) = 121*m**3 + 1. Calculate the remainder when y(j) is divided by r(-7).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*q = 4*q + 37, s - 2 = -4*q. What is the units digit of (s\/(-15) - -1)*18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38244?\nAnswer: 2, 3, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*7\/364 + 1\/(-4). Which is the fourth smallest value? (a) 1\/6 (b) n (c) 0 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by -9036.\nAnswer: -7\/3012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.75 - 2.95. Let n = 304.89 - 305. Which is the closest to o? (a) n (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 + -27. Sort q, -1, -5, -4 in increasing order.\nAnswer: -5, -4, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 q, and 1 s when three letters picked without replacement from scssscccqcs?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -43 - 5*d**2 - d + d**3 - 34 + 70. What is the tens digit of y(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 124 and 7624?\nAnswer: 236344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4*c**3 + 159*c**2 - 271*c + 183. Give p(38).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(133)*-4 + sqrt(133))*-6 - sqrt(133))*4)\/((5*(sqrt(84) - (sqrt(84) + (sqrt(84) - sqrt(84)*2 - sqrt(84)))))\/sqrt(12)) + 4 + -3.\nAnswer: 1 + 34*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1))**(8\/15)\/(((z**(2\/7)*z)\/z)\/z**(1\/2)))\/((z*(z*z**(2\/5))\/z)**(-7\/2)\/((z\/(z\/z**(-2\/5)))\/(((z**(-2\/3)*z)\/z*z)\/z))) assuming z is positive.\nAnswer: z**(113\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -379 plus -1024714793685?\nAnswer: -1024714794064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 equal to -325\/108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.112473 and -5.\nAnswer: -5.112473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000092275 to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/9640 and 29\/30.\nAnswer: 28920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -31. Is k at most as big as 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 4*b. Let h = 6 + 8. Let n = 5 - h. Let v(o) = -2*o**2 + 9*o. Give n*x(a) + 4*v(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*y = -14*y + 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {a: 2, w: 5, k: 6, f: 1, h: 2}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0182568 - -0.01835. Round j to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22184 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64327?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r + 2. Let f = -115 - -118. Let c(z) = -2*z - 1. Give f*w(d) + 8*c(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - u - 10 = -5*u, 0 = u. Let m(c) = -c - 3. Let y be m(v). Solve 2*d - 2*w - 2 = 2, -4*d + y = 2*w for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23070521 and 23.\nAnswer: 530621983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = h + 2. Let d(i) = i**3 - 5*i**2 + i - 7. Let v be d(5). Let t = 9 - v. Calculate the smallest common multiple of t and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.966 rounded to one dp?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.23 in -2, -3\/32, 96, -4, 4?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.72 - 1.77. Sort -18, 5, a.\nAnswer: -18, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -15*v**2 - 731*v + 220. Let x be a(-49). Let i = -9 + 17. Solve x - i = 4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**4\/t*(t*t**4)\/t)\/((t\/(t\/(t*t**(-2\/7))))\/(t\/t**3))*((t\/(t\/t**(-6)))\/(t**(-7)*t))**(-21) assuming t is positive.\nAnswer: t**(30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -5. Suppose 0 = -4*r + 3*b + 24, -651 = 2*r - 5*b - 677. Solve -3*f = -r*g - 21, -g + 2*f + 3*f - 23 = y for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6511952*g*i**3 + 18046285*g*i**2 - 2*i**3 wrt i?\nAnswer: 39071712*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*4\/(-2)*1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 21*h**2 + 3*h**2 + 8*h**2 + 8*h**2 + 14*h in the form o*h + x + y*h**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(686) - (sqrt(1694) - (sqrt(1694) - -4*sqrt(1694))))\/(sqrt(72)*-3 + sqrt(72)*-6)*1.\nAnswer: -79*sqrt(7)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (100*j**2 + 87*j**2 - 236*j**2)*(-6*j + j + 3*j) - 8*j**3 - j**3 + j**3.\nAnswer: 90*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.94264 days in microseconds?\nAnswer: 5524644096000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48 - 47)\/(-1 - 1)*(-2 - -10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 2*y + 2*y)*(-1732 + 7*y**2 + 1730 - 5*y**2) - 3*y**3 - y**3 - y**3.\nAnswer: -7*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 43*s - 30. What is g(-4)?\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -832*f + 837*f = -3*c + 6, -6*f + 2*c = -52. Let k = 51 + -33. Calculate the greatest common factor of k and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(((-6)\/18*-15)\/((-2)\/2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -59*k - 570. Give f(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -v**3*x**2 - 219*v**3*x - 28*v**2*x + 2*v**2 + 7*x**2 wrt v.\nAnswer: -6*x**2 - 1314*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 35, 2\/9, 5, -1044, 2\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 337537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85 + -79. Let o = -8 + n. Sort o, 2, -0.5 in increasing order.\nAnswer: o, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*i + 63, 2*i = 4*c + 3*i - 45. Suppose -2*n - 12 = k + 21, -5*k - c = n. Let b = -17 - n. Do -1 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -9*i**4\/5 - 2*i**3 + 39*i**2\/5 - 12*i\/5 + 1130. Solve t(j) = 0 for j.\nAnswer: -2, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 415 + -4563\/11. Let d = -436 + 435.9. Which is the biggest value? (a) n (b) d (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q + 5*v - 1175 = 6*q, 0 = -4*q - 2*v + 944. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.3053, -0.2, -0.01?\nAnswer: 0.3053","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1)\/g)**27\/(g\/(g\/g**0)*g**(-1\/7)\/g) assuming g is positive.\nAnswer: g**(-370\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i - 30. Let h(o) = 1. Let j(t) = 9*h(t) + u(t). Let m be j(-6). Let k be (-6)\/33 + 3\/(-44). Which is the smallest value? (a) 2\/5 (b) k (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*g - 5. Let h = -1.43 + -4.67. Let w = 6 + h. What is the closest to 1\/4 in 2\/21, g, w?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -m**3\/6 + 35*m**2\/2 - 2*m + 86. Let h be q(33). Which is the third biggest value? (a) -140 (b) -2\/7 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/1 - -32*16\/(-64). Solve 113*h = 115*h + s for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 34242 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f + 16. Let s be x(-7). Let q be s\/4*12\/(-18). What is the second smallest value in 0.5, 6, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 2*x = -192. Calculate the highest common divisor of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 26562917 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (11 - (-270)\/(-24))*(-51 - -39). Factor -16\/17 + 4\/17*u**2 + 8\/17*u - 2\/17*u**a.\nAnswer: -2*(u - 2)**2*(u + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qo when two letters picked without replacement from {o: 7, q: 6}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 6, -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of s**10\/560 + 7*s**6\/180 - 20*s**3\/3 - 8. Let g(w) be the third derivative of q(w). Find the third derivative of g(v) wrt v.\nAnswer: 1080*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 15 + 12. Let h = 88 - 83. Calculate the smallest common multiple of y and h.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 44.3?\nAnswer: -42.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -7\/2 + 11\/3*y - 1\/6*y**2 = 0.\nAnswer: 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 5)*(-957*u**2 + 62*u**4 - 112*u**4 + 51*u**4).\nAnswer: u**4 - 957*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -765*i + 3*i**2 + 765*i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9707648927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1580 is divided by 29.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 192.8 and 0.4?\nAnswer: 77.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-24)\/(-9))\/(-4))\/(14\/6).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 690976, 2763809, 6218530, 11055139?\n\"Answer: 690944*j**2 + j + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27216484.\nAnswer: 2, 6804121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*d - 5*d + d)*(3 + 0 - 1) + (2 - 2 - 2*d)*(-2 + 3 - 3) + d + d - d)*(5 - 5 - 4).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -g**4 + 8*g**3\/3 - 8. Solve k(q) = 0 for q.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g + 40. Suppose y = -6*y - 84. Let p be y*((-8)\/4 - 0). Is 8 a factor of m(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - a = 4*a - 46, -5*a = -3*c + 178. Suppose -36 + 130 = -2*o. Let q = o - c. Round q to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -537 less than or equal to -0.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1050 <= -1052?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -4039 < -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 2)*(-18)\/9. Suppose -4*z = -6*z - o*x - 6, -3*x - 9 = 2*z. Suppose -v + 9*v + 40 = z. Let l(m) = m**3 + 6*m**2 + 3*m - 7. Determine l(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of s**6\/39 - 96*s**5\/65 + 35*s**4\/2 - 8673. Determine a so that j(a) = 0.\nAnswer: 0, 13, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 and 55\/128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11892 and 288.\nAnswer: 3424896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5529*x = 5684*x - 14260 for x.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 7:28 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*z - 1, -u = -3*u + 5*z - 1. Suppose -u*q + 220 = -3*q. What is the remainder when q is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2\/7 (b) 32 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 113 - -13?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 8*s**2 - 152*s + 397. What is w(3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*t**2 + 7*t + 23*t**4 - 11 - 7*t - 22*t**4 wrt t.\nAnswer: 4*t**3 - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15542*v + 15542*v + 59*v**5 + 4*v**5 - 2*v**5 - v**5 + (-2*v**2 - 2*v**4 + 2*v**2)*(-3 + v + 3) + 11*v**5 - 19*v**5 - 7*v**4 + 14*v**5.\nAnswer: 64*v**5 - 7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - g**2 + 16*g - 18*g - 1 - 4*g**3 as s*g**2 + w*g + j + b*g**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 26867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 64\/24*(-6)\/(-4). Suppose -5*s + 19 = -4*b - 17, 0 = d*b + 2*s + 36. Let j = b + 11. Solve o - 2*o + 6 = -2*f, -4*f = j*o + 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0) + (0 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -51, -50, -47?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r + 3*r - 48765 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55 + 71. Suppose -g*y - 198 = -18*y. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (165\/(-4))\/((-1)\/(1*22\/(-66))).\nAnswer: -55\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -14*n**2 - 4. Let b(a) = -a**2. Calculate b(v(w)).\nAnswer: -196*w**4 - 112*w**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 112.1 and -2412.\nAnswer: -270385.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*sqrt(5) - (sqrt(40)\/(sqrt(32)\/sqrt(4)))**2.\nAnswer: -8 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -0.2, -1\/6, -2\/21?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**5\/3 - 928*z**4\/3 - 7376*z**3\/3 - 14720*z**2\/3 = 0 for z.\nAnswer: -920, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1\/6, 14\/129, 4, 2, 3?\nAnswer: 14\/129","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*w**4 - 2508*w**3 - 20369*w**2 wrt w?\nAnswer: 624*w - 15048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.5 - 2.4. Let c = p + -3. Let l = 5 - 4. Sort c, l, -5 in decreasing order.\nAnswer: l, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -449*k = -444*k - 5*u - 45, -27 = -k + 7*u for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 136 = -11*z. Suppose 850 = -8*c + 3*c. Find the common denominator of 1465\/c + 2\/z and -3\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9871004l?\nAnswer: 987.1004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of x**5\/60 + x**4\/8 + x**3\/2 - 3*x**2. Let t be f(-3). What is the units digit of (t\/6*2)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/17)\/((-1)\/(3 - 1)). Let d = 0.6 - 0.5. Which is the smallest value? (a) d (b) -0.4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 15966?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -t**4\/4 + t**2\/2 + 13*t + 5. Let u be k(0). Let m = -8 + u. Solve 0*h + 16 = -h - 4*x, -h - m*x = 20 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33121225 is divided by 40?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 - -18. Let p = q + 12. Which is smaller: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14475 + 94557 = -4*t. Let c be 2\/(-9) + t\/297. Let o = -29 - c. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -4*u - 3*c - 2, c + 2 = 0. Let q be -17*1\/(u\/(-2)). What is the greatest common divisor of 34 and q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yywuwwwswyykszw. Give prob of sequence kw.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -1 - 73*w - 57*w + 14*w**2 + 129*w. Give m(-2).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75405903 to the power of 1\/2, to the nearest integer?\nAnswer: 8684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4\/9)*v\/v**5*(v**(-2\/3))**(-10\/13))\/((v*(v\/(v*v**(2\/5)))\/v*v*v)\/(v**1*v)*v**7*v**(-4\/9)) assuming v is positive.\nAnswer: v**(-1967\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 19*x = 0. Let o(r) be the first derivative of -2\/35*r**5 + x*r**2 + 1\/14*r**4 + 2\/21*r**3 - 1\/21*r**6 + 3 + 0*r. Let o(g) = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 181 + 166 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003325124 to four dps.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*q + 55*q + 12 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*j**4 + 0*j**2 - 2*j**2 + 13*j**3 - 13*j**3 wrt j?\nAnswer: 240*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0 = 40. Suppose 0 = k - j + 2. Suppose 116*y = 111*y + 35. Is k at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 2 = o, -4*o - 272 = 2*x. Let d = -40 - x. What are the prime factors of d?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -1699*c**4\/6 + 1108*c**3\/3 - 3425*c. Find the second derivative of s(k) wrt k.\nAnswer: -6796","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3725*g**3 + 672*g**3 - 370*g**2 - 1917*g**3 - 274*g**2 - 245*g**2 - 4*g wrt g.\nAnswer: -29820","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2*5255 - (2788\/(-1353) + 2\/33)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9797\/10 + 982. Let k = -97\/15 + 14\/3. Let i = p + k. Is 1\/2 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 132*r + 803. What is m(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -6*z**4 + 113*z**3 + 403*z**2 + 328*z + 44 = 0?\nAnswer: -2, -1, -1\/6, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 253, 518, 783, 1048, 1313?\n\"Answer: 265*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6*w. Let k(o) = -2*o**2 + 64*o + 68. Let q be k(33). Let s(l) = -8*l**2 + 4*l**q + 12 + 7*l**2 - 2*l**2. Give u(s(a)).\nAnswer: 6*a**2 + 72","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 yilvsee.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (81 - 83 + 40)*(-v + 0 + 0) as y + t*v and give t.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 187500592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, b: 1, v: 4, f: 1}. Give prob of picking 1 v, 1 b, and 1 f.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 0, 17*i - 195 = 16*i + 11*c. What is the greatest common factor of i and 2275?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -476\/1409 or 0?\nAnswer: -476\/1409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 - 168469056424?\nAnswer: -168469056025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 273010 and 1840?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-35))\/(18\/(-75))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 119.90157 microseconds in minutes?\nAnswer: 0.0000019983595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.28 - 0.48. Let k = v - 1.8. What is the biggest value in k, -0.4, -2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006530682 rounded to 4 decimal places?\nAnswer: 0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -3524 less than 1325?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -48 - (0 + 12 - (-1 + -23 - (-55 - -24)))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -91318?\nAnswer: -5\/91318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1729675 equal to 1729680?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + -0.2. Let s = -203 - -817\/4. Sort v, s, -0.3 in decreasing order.\nAnswer: s, v, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667092300 to the power of 1\/3, to the nearest integer?\nAnswer: 874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3917\/4, -5, -0.2, 0.8 in decreasing order.\nAnswer: 3917\/4, 0.8, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 173945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17404 + 17408. Calculate the lowest common multiple of u and 1016.\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**4 + 4*h**4 - 3*h**4 + (198*h - 126*h**3 - 198*h)*(-6*h + 0 + 0).\nAnswer: 759*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211241 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -2 + 6 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(99)*-2)\/(-1*2*sqrt(9) + sqrt(9)).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -0.06 (c) 19 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 162.4706 millennia?\nAnswer: 16247.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 1001 = -3139. Suppose 0 = -15*z + 4031 + q. What is z rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - c**2 + 10*c - 29. Suppose 20*o + 35 = 15*o. What is the hundreds digit of u(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -24, -114 in descending order.\nAnswer: 27, -24, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 185832 (base 9) to base 2\nAnswer: 11100010010010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 80\/(-44) + 4 + (8 - 9) and 67\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107248069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2 - 11*l + 7. Let h be g(5). Suppose h*o - 1 = 1. Suppose -3*b + 5*n + 16 = -2*b, 3*b + n = 32. Calculate the highest common divisor of o and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13070 is divided by 284.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 - (-2 + 2 + -10 + -3094 + 3123).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2928 - -4341. Calculate the greatest common divisor of 628 and w.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(4\/(-2)))\/(2\/(-10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -167, 87, -4, -35 in increasing order.\nAnswer: -167, -35, -4, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 y when two letters picked without replacement from {r: 1, q: 7, y: 1, x: 2, n: 9}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 984, 3837, 8554, 15135, 23580?\nAnswer: 33889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wfrh when four letters picked without replacement from {r: 1, s: 3, v: 4, h: 2, w: 3, f: 4}.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 3*l**2 + 5*l + 6. Let s = -23 - -32. What is the remainder when u(4) is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 367048 and 190232?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 189 - 187. Let 8*m**3 + 12*m**2 - 8*m - 4*m**2 - m**2 - 6*m**4 - 8 + 7*m**p = 0. Calculate m.\nAnswer: -1, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*d = 6*d + 14, 5*d = 2*m - 15. Solve 3*j - 4 = -m*r + 6*r, 2*j - 4 = r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 25 = -11. Let s(o) = o**2 - 12*o - 20. Let x be s(13). Let b be (3 + 0 + (-22 - x))*-9. What is the highest common factor of c and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-872 + 1403 + 1103)*(f + f - 13*f) in the form u*f + y and give u.\nAnswer: -17974","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*i**3 + 7*i - 4*i**4 - 16*i**3 - 31*i**2 - 12*i**3 + 42*i**3 + 1 - 5*i as t + n*i**4 + k*i**3 + f*i + a*i**2 and give a.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4215, -8033, -11851, -15669, -19487?\nAnswer: -23305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 2358\nAnswer: -2358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -25 - (55 + -71) - 13\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 120852250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21566 + 21569. What is the nearest to 0 in q, 776, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + sqrt(243)*2 + -3)*1.\nAnswer: -54*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-3)*f**(-5)*f*(f\/f**(-2\/9))\/f*f**(-1\/9))\/((f\/f**(-4)*f**(-1\/6))\/(f**(1\/3)\/f)**18) assuming f is positive.\nAnswer: f**(-409\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1170 * 18.12.\nAnswer: -21200.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 27*-2049181\nAnswer: -55327887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 10*f**2 + 19*f + 33. Let u be t(16). Let b = 3150 - u. List the prime factors of b.\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 170*x**2 + 1301*x + 784. Give h(-162).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 3*h**3 + 137133*h**2 + 1548933021*h - 416909311341 = 0.\nAnswer: -22987, 263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 - 164 = 2*p. Suppose 1554 = w - j, 3128 - 28 = 2*w - p*j. What are the prime factors of w?\nAnswer: 2, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1276\/2031 - 26\/677. Sort y, -6\/37, -0.1, -3\/2, -2 in descending order.\nAnswer: -0.1, -6\/37, y, -3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 663.6557 centuries?\nAnswer: 66365.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (2 - (10 - 0)) + 86 + 24 + -99.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2.0397 (b) -0.19 (c) -49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56201040 by 3240.\nAnswer: 17346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c = -5*s + 14, -60*s - 20 = -4*c - 17*s - 47*s for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 10:00 AM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -179, -342, -505, -668, -831?\nAnswer: -994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 1344*f - 2 + 19832*f - 3341*f to the form o*f + m and give o.\nAnswer: 17835","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -4*d + 2*d + 5*k + 8, 12*d + 3*k = 48 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22116223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 487541 and 14885.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -223, -422, -575, -658, -647, -518, -247?\n\"Answer: 4*c**3 - c**2 - 224*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38329 - -38329.3. Let k = 0.1 - 5.1. What is the smallest value in l, k, -13, 0.4?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -235 - -375. Let m(d) = -d**3 - 8*d**2 + 8*d + 19. Let q be m(-9). What is the greatest common factor of q and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 11*b - 23. Give g(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -5979*r - 7903. Does 70 divide g(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.3 - 1701?\nAnswer: -1753.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -4 - 8 - 2 - (25 + -42) - -50.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-184)\/(-6))\/(421\/(-1263))?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dpfdppjfpjj. Give prob of picking 2 d and 1 j.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-21)*-1)\/(4\/(-32)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 82*r + 101*r + 35*r + 87*r as v*r + j and give v.\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (-8 + 0 - (-7 - (-1 - 2))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 y when two letters picked without replacement from ititytttytthth?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -100101111101111100001 (base 2) in base 8?\nAnswer: -4575741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 4*w - 28, 2*g + 6*w - 2*w - 24 = 0. Suppose -5*j - g*s = -5, 0*s + 2*s = -2*j - 4. Suppose -j*f + 30 = 3*f. Sort -3, f, 19 in decreasing order.\nAnswer: 19, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -36373340148 from -5.\nAnswer: 36373340143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 11) to base 15.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 11:11 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1844 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**2*r*r*r**(-3\/5)\/r*((r*r**(-1)*r)\/r*r)**11 assuming r is positive.\nAnswer: r**(72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38.85 - 41.85. Sort 0.4, 2, 2\/15, -2, a in decreasing order.\nAnswer: 2, 0.4, 2\/15, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 218880 to the nearest one thousand.\nAnswer: 219000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a**2 - 32*a + 21. Let t be i(-7). Put t, 1, -39 in increasing order.\nAnswer: -39, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = -3*a + 9. Let o(y) = -y**2 + 8*y - 7. Let h be o(7). Let i be (-2)\/12*(h - -4). Is i >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65 + 42. Let g be 3\/(-9) - (-70)\/(-6). Let f = g - r. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 0*a**2 + a**2 + 6*a**2 + 2 + 4*a - a**2 + a**3. Let f be i(-5). Calculate the highest common divisor of f and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, y: 3, d: 2, j: 4}. Give prob of picking 2 b, 1 d, and 1 j.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -k**3\/3 + 21*k**2\/2 - 49*k - 31. Let l be a(18). Solve -3*n - l = -8*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a**4 + 0*a**4 + 3*a**4)*(-5 + 3 + 0 + 2 - 2 - 1 + (1 + 4 - 3)*(2 + 1 - 1) - 4 + 4 + 2 + (-6 + 3 + 2)*(0 + 2 - 1) + 1 - 5 + 2 + 5 + 4 + 24).\nAnswer: -132*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 18 + 6 - b**3 - 13 - 3 - 14*b**2. Calculate f(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2585 - -2580. Let w(y) = y**2 - 1. Let u(d) = -6*d**2 + d + 9. What is g*w(v) - u(v)?\nAnswer: v**2 - v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d + 2. Let g = -2 + 1. Let x(v) = 5*v**2 + v + 1. Let l be x(g). Let k(m) = 3*m + 2. Suppose 2*z + 12 = -0. Calculate l*t(n) + z*k(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 694 a factor of 476778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 11) to base 9\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + f = -3*w - 38, -2*w = -2*f + 42. Let m(g) = -g**2 + 38*g + 2. List the prime factors of m(f).\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1214*c**3 + 7*c**2 - 2*c + 408*c**3 - 1 + 424*c**3 + 401*c**3 to y + u*c + h*c**2 + x*c**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(816) - sqrt(51))*-5)\/(5*(sqrt(12) - sqrt(3))).\nAnswer: 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 5*c**3 - 2495*c**2 + 310000*c + 312500 = 0.\nAnswer: -1, 250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -36*l**3 + 5*l - 3. Let w(g) be the first derivative of g**4\/4 + g**3\/3 + g**2\/2 - 11. Let b(u) = -m(u) + w(u). Is b(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-1)*j)\/j)\/j**(1\/9))\/(j**1\/j)**(-37) assuming j is positive.\nAnswer: j**(-10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/1820 and 89\/1040.\nAnswer: 7280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(3) + (sqrt(3) - (sqrt(3) + 1)))**2 + 1 - (2 + sqrt(3) + -3) - ((sqrt(33) + -5*(sqrt(33) + sqrt(33)*-2))\/(sqrt(33)\/sqrt(3)*-3))**2.\nAnswer: -5*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3922 - 1377. Calculate the remainder when a is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 11\/10 of a millennium?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmp when three letters picked without replacement from jmpwjpem.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -537, -4, -66?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -396 - -380. Does s = -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 4*g**3 - 7*g**2 + 9*g. What is the derivative of k(n) wrt n?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21970989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/6010 and -51\/6010.\nAnswer: 6010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.4 and 28217.\nAnswer: 67720.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + v**3 + 2*v)*(-2*v + v + 3*v) - 7*v**4 - 19*v**4 - 3*v**4.\nAnswer: -27*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -11\/33416?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/20 + (-554)\/(-10). Let t = -13 - 21. Let s = y + t. What is the remainder when s is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011849753 to five dps.\nAnswer: 0.00118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 59\/4 of a hour?\nAnswer: 53100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -4*b**3 - 7*b**2 - 5*b + 2. Let g(f) = 11*f**3 + 2*f - f**2 + 4*f**2 - 9*f**3 - 1. What is 5*g(q) + 2*w(q)?\nAnswer: 2*q**3 + q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f + 1. Let w(v) = -2*v**2 - v + 3. Let o(z) = -w(z) + 3*x(z). Let i = -3 + 3. Suppose i = 10*k - 5*k + 15. Give o(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k = -k. Solve u + 3 + k = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -100 - -374. Let s = 274 - x. Solve s = -5*n - 5*i, -2*n - 1 - 3 = -2*i for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -3, -5 in increasing order.\nAnswer: -5, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11025 + -6513. What is the highest common divisor of f and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -253*k + 122*k + 1801512. What are the prime factors of k?\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-18)\/(-5))\/2)\/((-99)\/30)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112919 is divided by 1282?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 81, 139, 261, 465, 769, 1191?\n\"Answer: 3*d**3 + 14*d**2 - 5*d + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**3\/3 - 11*u. Suppose -r = -1 - 13. Let l(p) = 9*p - r*p + 7*p**2 + 5*p. Calculate g(l(t)).\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 - 2*b + 2*b)*(-4*b**2 + 2*b**2 + 4*b**2) - b**5 - 4*b**5 + 6*b**5 + (0*b**4 - 3*b**4 + b**4)*(5*b + 3*b - 4*b).\nAnswer: -11*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 803 and 2.\nAnswer: 1606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(45) + sqrt(6)\/(sqrt(27)\/sqrt(9)) + -3)**2.\nAnswer: -8*sqrt(2) + 113\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 6:14 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 42\/11? (a) -0.009 (b) -4 (c) 0 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 35*k**2 - 8*k + 8. Let y(a) = -12*a**2 + 3*a - 3. Calculate -4*m(n) - 11*y(n).\nAnswer: -8*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -36*u**2 - u - 49. Let s(z) = -z. Determine s(r(f)).\nAnswer: 36*f**2 + f + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -12 - 0. Suppose 3*b = b + 3*v + 110, -u*v = 2*b - 124. What are the prime factors of b?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19967 - -19969. Put -1\/4, 0.3, -5, b, 10 in decreasing order.\nAnswer: 10, b, 0.3, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6*24\/(-9)*4\/8. Is -2 - y\/(-5) - 15740\/(-100) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 + 12*g + 16. Let u be -3 - ((-1 - -4) + 1). What is the tens digit of d(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 6:11 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17*((-35)\/25)\/(-7)*(-50)\/(-10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 10. Let x be j(10). Suppose x = 5*c - 5*g + 2020, -520 = 4*c - g + 1099. Let t = c - -800. Is t 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 12:49 PM and 9:35 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2369?\nAnswer: 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - -30.9. What is the third biggest value in c, 4, 0.65?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*k**2*u + 32919*k**2 + 658*k*u + 651*u wrt k?\nAnswer: -58*u + 65838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 1. Does 6 divide v\/(-11) - (-688)\/88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002992304 to six decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-6\/13)*c)*c*c*c*c)**(-2\/139)\/((c\/(c**(1\/4)*c)*c)\/c**(15\/2)) assuming c is positive.\nAnswer: c**(48325\/7228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 10*b**2 + 10*b + 8. Let n be o(10). Let c = -106 + n. Solve c*u = 5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -27282 + -10?\nAnswer: -27292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1051, 1050, 1049, 1048, 1047, 1046?\nAnswer: 1045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -363 - -365. Solve 2*a - 13 = 4*m - 7*m, -6 = -h*a + 4*m for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68 and 32.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80268 is divided by 1369.\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -737395*o**5 + 622935*o**2.\nAnswer: -44243700*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 19 - 29 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = -2*h - 5*m, 15*h + 581613*m = 581618*m + 140 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/24)\/1 - (-6555)\/4. Suppose -2*k + 1469 = 5*l, 3*k - 551 = -3*l + w. What are the prime factors of k?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hbk when three letters picked without replacement from {h: 3, k: 2, b: 7}.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32928 a multiple of 200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14083 - 14083 + 153*b + 532*b to the form d*b + q and give d.\nAnswer: 685","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 26, 77, 166, 305, 506, 781, 1142, 1601?\n\"Answer: 2*z**3 + 7*z**2 + 16*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/56 - 29\/56. Which is the nearest to -1\/4? (a) 0.6 (b) 4 (c) v (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 12. Let r(n) = 6*n**3 - n - 2 + 1 + 2*n + k. Determine r(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*q + 28 = -5*x, -5*x + 4 = 3*q. Let v be (-180)\/(-16)*q\/3. Let p = 75 - v. 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: Evaluate (3\/(-36))\/(48\/(-1584))*-2.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -618 + 682. Calculate the smallest common multiple of 80 and z.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -561317 (base 8) to base 2.\nAnswer: -101110001011001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6160097 and 4173.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 4, 0, -0.37 in ascending order.\nAnswer: -0.37, 0, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -2\/47, 2, -0.4 in decreasing order.\nAnswer: 2, -2\/47, -1\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1032 is divided by (5885\/(-1605))\/(1\/(-6)*2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 7*h + 10. Let v be p(-8). Suppose 3*j - 20 = -v*j. Suppose -c + 146 = -3*n, -n = -j*c - 3*n + 654. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -52*a**2*g - 3*a + 324*g wrt a.\nAnswer: -104*a*g - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2079501599?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49493482.\nAnswer: 2, 653, 37897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.4578 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275629.\nAnswer: 101, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62 - -117) + -21 + (-11 - (-3 + 1))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11)\/66 + ((-309)\/(-18))\/1. Solve -3*b + 6 = -2*j - j, 5*b + y = -4*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 minus 878547126?\nAnswer: -878547142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 14*x - 18. Determine u(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -10*v**7\/7 - 49*v**3\/3 + 33*v. Find the second derivative of i(a) wrt a.\nAnswer: -1200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2521 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7694 is divided by 2342.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 767789537 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21899037 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: Is 70139337533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 0)*(-4)\/6. Suppose c*w = 6*w - 40. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74 and 124701914.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -7013830 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -2. Suppose -j*y - y = -699. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 445 + -195. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 676 = -5*k - 143, -p + 418 = 4*k. Solve 0 = -28*d - k - 7 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-11)*a**(-4\/7))\/(a**(-1)*(a\/a**(2\/29)*a)\/a*a) assuming a is positive.\nAnswer: a**(-2132\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1322 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: Solve -4*n = 75*n + 116*n + 18*n - 6603 for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*l - 107*l + 1043793 + 1798566. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 4710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 3*b + b - 23, 0 = 2*b + 2*h - 14. Let s(r) = -2*r**2 - 3*r**b + 4*r**2 + 2*r**2. Let a(d) = d**2. Calculate a(s(k)).\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w + 2. Let q(o) be the second derivative of o**4\/4 + 561*o. Calculate t(q(p)).\nAnswer: 6*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 c when two letters picked without replacement from {t: 1, i: 6, c: 7}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**4\/8 + 671*g**3\/8 - 24865*g**2\/4 + 167684*g - 1287440 = 0. Calculate g.\nAnswer: 38\/3, 35, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -65054085*r - 119239457 wrt r.\nAnswer: -65054085","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-326 + 608 - 453)*(4*l - 3*l + 0*l)*(5 + 2 - 3).\nAnswer: -684*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 0.3088\nAnswer: -2.3088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12325 rounded to the nearest 100?\nAnswer: -12300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + a + 18. Let i be p(0). Suppose i + 12 = 2*h. What is the tens digit of 6\/(-3) + (h - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3527115 (base 8) to base 14.\nAnswer: 1b08b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 134.917, 0.3, -0.3 in increasing order.\nAnswer: -14, -0.3, 0.3, 134.917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwufcyo. What is prob of picking 1 f and 1 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267711 is divided by 552.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391.\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.82 + -1. Let i = 0.08 + b. Let l = i + -0.1. Do l and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 3*t = 0. Suppose t = -z - 5*n + 384 - 124, z - 5*n = 210. Is z 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\/5 (b) -5 (c) 2 (d) -58 (e) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36815335 and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -e0 (base 15) to base 5\nAnswer: -1320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 113 - 111. Let t(a) = 5*a + 1390*a**2 - 4 + 4 - 1390*a**k + 8*a**3. Let h(i) = 16*i**3 + 9*i. What is 3*h(n) - 5*t(n)?\nAnswer: 8*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(17\/5))**(5\/2)\/((c**8*c)\/c)**(2\/53) assuming c is positive.\nAnswer: c**(869\/106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -6. Let f(s) = s. Let v(o) = 2*o**3 - o**2 - o - 2. Suppose 1 = 4*q - 3. Let u be ((-1 - -3) + -3)*q. Determine c*f(i) + u*v(i).\nAnswer: -2*i**3 + i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**14*r*r**(-9)\/r*r assuming r is positive.\nAnswer: r**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 1. Let d = -11740 - -35228\/3. Which is the nearest to d? (a) o (b) -1\/4 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4093725285?\nAnswer: 3, 5, 13, 2332607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 11*k**2 + 12*k + 52. What is y(9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 d when two letters picked without replacement from keukkuuukkkkukkdkeud.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 46\/69*(-27)\/2. Let t = m - -74. Let d = t - -20. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*z = -12, -j + 4*z = -11 - 9. Let i(h) = -j*h - h**2 + 3*h + 10*h**3 + 1 + 0*h**2. Calculate i(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, 8.185, 3.8, 1, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -12, 1032.4, -1, -3?\nAnswer: 1032.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 b, and 1 p when three letters picked without replacement from tttptphpphb.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -j**6\/15 - 52*j**5\/25 + 7*j**4\/2 + 136*j**3\/5 - 324*j**2\/5 + 5504. Let s(c) = 0. Calculate c.\nAnswer: -27, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34002462*c**4 + 70312831*c wrt c?\nAnswer: -408029544*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 38843.\nAnswer: 1\/38843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8424*y**3 + 2*y**2 - 3269 wrt y.\nAnswer: -50544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 7*q**2 - q + 11. Let u be n(7). Suppose 0 = -8*f + u*f + 112. What is the first derivative of 14*d**2 - 17 - 28*d + f*d wrt d?\nAnswer: 28*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1728)\/480*(-1)\/3?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233 + 70 = -5*b + 4*s, -2*b - 5*s + 85 = 0. Let m be b\/7*(-9)\/(-15). Solve -m*v - 6 = -15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4597, -10465, -18851, -31015, -48217, -71717, -102775, -142651?\nAnswer: -192605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10*3\/6)\/1. Is -6 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9683868*-4\nAnswer: -38735472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*o + 73*o - 25352705. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86524651483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -648 + 666. Let l be 48\/15 - z\/(-45) - 4. Which is bigger: l or -4\/159?\nAnswer: -4\/159","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (10 + 1)) + 1 + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 111200 and 17396128?\nAnswer: 4448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 17*j - 200*j - j**4 - 3*j to y*j**4 + c*j + q*j**3 + z + o*j**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 3, -1, 2, 22 in ascending order.\nAnswer: -5, -2, -1, 2, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2 + 5*o**3 - 2 + 1 - 42*o**3. Is m(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 128*g + 3336 + 1400 for g.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 32\/5 of a tonne?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -617 * 40136.\nAnswer: -24763912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-20)*-1*2*5?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (-12 - (-6 + -26)) + (-1 - -17).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 + 12*p**2 - 13*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.9 + -1.6. Which is the smallest value? (a) g (b) -0.1 (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.205+-1229956497.4\nAnswer: -1229956497.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1984669\/2 or 992334?\nAnswer: 1984669\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**3\/q*q*q**(-5))\/q**12)\/(((q*q\/(q\/(q\/(q\/q**(-2\/9)*q))))\/q*q*q)\/q**1*q**5*q**(2\/19)*q) assuming q is positive.\nAnswer: q**(-3400\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a kilometer in meters?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4143 + 21324?\nAnswer: 15161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4122 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - i + 1 = -6*i, 3*v + 3 = -5*i for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22245408 is divided by 1038?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 15*p**2 - 13*p + 14. Let z be w(-14). Solve 4*g - 3*k - 19 + 5 = z, 2*k - 19 = -3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13681838?\nAnswer: 2, 17, 23671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2182 - 0.0182. What is the third smallest value in 4, 15, w?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-180)\/(-64))\/((-4)\/(-48) - ((-464)\/48 - -9))\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 422, 843, 1266, 1691, 2118, 2547?\n\"Answer: r**2 + 418*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87159634.\nAnswer: 2, 43579817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20378, -20381, -20386, -20393, -20402, -20413?\nAnswer: -20426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1815 and 23837.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-28)\/(-175)*5\/(-2). Sort -5, 5\/4, n in ascending order.\nAnswer: -5, n, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.031 (b) -0.6 (c) -2\/7 (d) -1\/4 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2838?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 - n**2 + 0*n**2)*(-166*n - 851 + 851).\nAnswer: 166*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**3\/3 + 3*c**2\/2 + c + 52. Suppose 7 - 4 = o. Suppose -5*a = -g - 7, -a + 9 = -o*g + 2*a. Calculate w(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/((-10302)\/(-36))*303\/(-606))\/(-1).\nAnswer: 3\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/7, 15, 2, -5\/11, -0.5, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**3 - 11*o**2 - o - 5. Let r(k) be the first derivative of 5*k**4\/4 - 17*k**3\/3 - k**2 - 8*k + 19. Determine 8*n(h) - 5*r(h).\nAnswer: -h**3 - 3*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5114)\/(-14) + 6\/(-21). Suppose -5*r + 10*r - s = 0. What are the prime factors of r?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 50083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -1. Let w(p) = 189*p + 2. Let i(d) = v(d) + w(d). What is the tens digit of i(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 4 + -1*-1*sqrt(1539))*6*-4 + -2)**2.\nAnswer: 83808*sqrt(19) + 924100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 19 + 5 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2193)\/4300*25*(-16)\/6.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*z + 18. Suppose -1 = -5*h + z. Suppose -5*r + 3 = 5*q - 2, r - q - h = 0. Which is bigger: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 757183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 251 - 175. Differentiate 107 + n*b + 172*b - 46*b with respect to b.\nAnswer: 202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/12)\/(84\/378)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-5\/2)*d\/(d*d*d**(-2\/7)))\/(d\/(d**6\/d*d)*(d\/d**(-2)*d)\/d))\/(d**3\/d*d*d*d**(1\/7)\/d)**(-13) assuming d is positive.\nAnswer: d**(555\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -1253262 = -1253263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 237329 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/12*7\/14\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 + -78. Let l be (-8)\/v - (-38)\/14. Suppose -q = -l*q + 314. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -1325*u**2 - 49030*u - 259. Give j(-37).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 2 - 2)*(4 - 6 - 3).\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 35, -i + 69673 = 3*h - 66213. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = d + 56. Let u = 9 - d. Let b(q) = 9*q**2 + q + 1. Let w(h) = -55*h**2 - 12*h - 4. Let z(l) = -6*b(l) - w(l). What is z(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, m: 1, g: 2, c: 1}. What is prob of picking 1 m and 1 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 d when three letters picked without replacement from {d: 3, e: 8}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*c + 9*c + 7*c)*(-4*c + 4*c - 2*c)*(-25 - 75 + 8).\nAnswer: 11040*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -12*u**2 + 3*u + 6. Suppose 119*h + 93 = 44 + 525. Determine o(h).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**3 + 31*r**2 + 128*r + 95. What is o(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12275305 and 1295.\nAnswer: 1295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/18 and -80\/231.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000077237444 rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -3, 5 in decreasing order.\nAnswer: 5, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -7697 + 3826 + b - 174*b**2 + 3863 in the form s*b + t + g*b**2 and give g.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 5 - 5 = 0. Suppose -3*p - 3*c - 5 = 1, 4*p - 3*c - 27 = i. Solve -7 = p*r - 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1019 in 18, 1\/3, -0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114 and 475019?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-234)*26\/(-65)\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*h**3 - 1 - 2 + 2 in the form b*h**2 + d*h + m*h**3 + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 58*y - 367 - 2243. Does 2 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 1 = -4*l, -t + 64 = 3*t + l. Find the third derivative of 15*y**2 - t*y**5 - 2*y**3 + 11*y**2 + 19*y**2 + y**2 wrt y.\nAnswer: -900*y**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 3*b = -31, 0 = -5*x - b + 5*b - 38 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**3\/2 - 21*y**2\/2 - 10*y = 0.\nAnswer: -20, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -79be91f?\nAnswer: -79be920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y - 2 + 2 + (-3 - 1 + 2)*(-y + 2*y - 3*y) - 4*y + 0 + 0 + (-3 + y + 3)*(2 + 1 - 4) in the form u + s*y and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -12, 910, -2, -5, -10, 0 in increasing order.\nAnswer: -12, -10, -5, -2, 0, 5, 910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 1)\/((-1)\/3). Let o be 12\/15 - 37\/(-185). Which is the third smallest value? (a) o (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -16*q**3 - q**2 - 3*q - 7. Let x(n) = -n**2 - 11*n - 21. Let b be x(-9). What is the tens digit of h(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17176685.\nAnswer: 5, 61, 199, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i - 2. Let v be o(-2). Suppose -5*x + 1 = -v*x. Suppose -h = w + x, -3*w + 3*h + 29 = -2*h. 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 12 + (-22 - -10) + -6 + -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13046 a multiple of 295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1230 divided by 410?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**3 + 156*m**2 - 156*m**2.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -286753\/129713 + 1\/6827. Calculate the common denominator of y and -35\/9.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + j = -65461, -4*k + 39259 = -k - 5*j. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 2) + (-3)\/(-7). Let u = -8.53 + 8.73. Sort u, -0.3, x in decreasing order.\nAnswer: u, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/7*v**2 - 9488\/7*v - 5626384\/7 = 0. What is v?\nAnswer: -1186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 25 = 3*j, -10 = 5*c + 3*j - 5. What are the prime factors of 271\/3 - c - (-5)\/(-15)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19207 > -19204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3. Let j be y(-2). Suppose -g - j = -2*g. Suppose 171 = 3*o - z - 2*z, z - 111 = -2*o. Calculate the highest common divisor of o and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**4\/12 + 4*j. Let z(u) = 7*u**2 - 29*u**2 + 6*u**2 + 17*u**2. Determine z(y(o)).\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6515762 divided by -23.\nAnswer: -283294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g - 3*g - g + (-4 + 3 + 3)*(-2*g + 0*g + g) + (0 - 2 - 1)*(5*g + g - 4*g).\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 30054 (base 8) to base 6\nAnswer: 133032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -188.53 + 190. Let t = j - 1.68. What is t rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -5, -4 in ascending order.\nAnswer: -5, -4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (151*n**2 + 47*n**2 + 33*n**2)*(-3*n + 5*n**2 + 3*n + (-2 + 2 + 2*n)*(-4 + n + 4)).\nAnswer: 1617*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1699\/7 + -243. Let q(j) = -5*j**3 + 2*j - 1. Let n be q(1). Sort n, -6, s.\nAnswer: -6, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 9*y + 1. Let m = -70 - -77. Let p(s) be the first derivative of 4*s**2 + s - 1. Suppose 0*r + i = r + 1, 50 = -5*r - 4*i. What is m*p(u) + r*z(u)?\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44*(15\/(-2) + 10) is divided by 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - 3.9. Let u = w - -4.4. Which is the nearest to 2\/7? (a) 5 (b) u (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4333 + -4458 + (0 - -162).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 29*v**2 - 252*v - 819. Give o(-17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = 3*h - 76 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(3*x**5 + 4*x**5 - 2*x**5) - 2*x**5 - x**5 - 2*x**5.\nAnswer: -10*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6294690 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/11737 and -24\/5335.\nAnswer: 58685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*10*6\/(-15). Suppose -f - 2 = -o. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + n. Let v be p(0). Let i = -19\/44 + 2\/11. Which is the closest to 2? (a) v (b) 5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.58, -0.5, 781\/28, 0.02.\nAnswer: -2, -0.58, -0.5, 0.02, 781\/28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-192)\/(-2772)*13\/(-4). Let n = b - 27373\/4620. Calculate the common denominator of 125\/18 and n.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(2) + sqrt(2) + -3 + sqrt(2)) - -4*((sqrt(2) + -3 - sqrt(2)) + sqrt(2))**2) + ((sqrt(8) + 5 + sqrt(2))**2 - (3 + sqrt(8))**2).\nAnswer: -15*sqrt(2) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3964, 3953, 3946, 3943?\n\"Answer: 2*b**2 - 17*b + 3979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-252)\/(-1638))\/(8\/(-52)). What is the nearest to 17 in -1\/11, -4, -0.1, v?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 9\/15 - 4\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4 - 67*f + 58*f + 2*f**2 + 4*f**2 - 3*f**2. Let u(t) = t - 1. Let o(n) = l(n) + 4*u(n). Find the second derivative of o(v) wrt v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*u**2 - 104*u + 19*u**2 + 18*u - 15*u - 30*u**2 as b*u + a*u**2 + o and give b.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 8*r - 8*r - 5*r + 2 + 0*r. Let v(k) = 4*k - 3. Let n(u) = 4*v(u) + 3*w(u). Determine n(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 5543*h**6\/60 - 1749*h**4\/8 + 445*h**2. What is the second derivative of c(v) wrt v?\nAnswer: 66516*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(3\/2))\/x**(2\/11))\/(x*x**(2\/7)\/x*x**(1\/7)\/x))**(12\/5) assuming x is positive.\nAnswer: x**(-102\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 4:27 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1894 by 2.\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2899 = 3309*h - 3086*h for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-14) - (-48)\/21. Let f(p) = 2 - 3 + 2*p**x + 1. Let n(k) = 0*k**2 + 0*k**2 + 3*k**2 - 8*k**2. What is n(f(u))?\nAnswer: -20*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 390 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 4*t + 5*b - 3, 4*t = -4*b - 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-1\/6)*c\/c**(1\/2))\/(((c*c\/c**1*c)\/c*c)\/c**6) assuming c is positive.\nAnswer: c**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 + -20. Find the second derivative of -26*i + 2*i**2 + 3*i**5 + g*i - 2*i**2 wrt i.\nAnswer: 60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4168 + 4166. Let g(h) = -5*h**3 + 10*h**2 - 3*h - 3. Let m(a) = -4*a**3 + 9*a**2 - 2*a - 2. What is r*g(f) + 3*m(f)?\nAnswer: -2*f**3 + 7*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + u**2 + u + 1. Let i be c(-1). Let n = 3 + i. What is the remainder when 12 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 67.99773ns?\nAnswer: 0.0000000011332955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/78224 and 31\/5260564.\nAnswer: 21042256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(5\/4))**(2\/19))**1)**2 assuming z is positive.\nAnswer: z**(5\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 - 6191400*b + 2395839622500.\nAnswer: 4*(b - 773925)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 1124*r + 25718. What is w(-23)?\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 393*p - 3*p**2 - 389*p - 3*p**2 + (3*p - 4*p + 2*p)*(3*p + p - 2*p).\nAnswer: -4*p**2 + 4*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7335 - -205?\nAnswer: 7542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 26*w - 11. Let s = -364 + 366. Let m(y) = 5*y - 2. Calculate s*r(z) - 11*m(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4681, 8833, 13035, 17311, 21685, 26181, 30823, 35635?\nAnswer: 40641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*s = -2*s - 5, s - 41 = -4*w. Suppose -i - 2 = 3*p, 3*p = -i + 6*p + w. Solve -3*j + i*j - 5 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4*l - 89, -1 = -4*b + 3*b. Let j(a) = -286*a - 2. Let t be j(0). Suppose -15 = -4*y - y. Put t, y, l in increasing order.\nAnswer: l, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 123\/23, -28369 in decreasing order.\nAnswer: 123\/23, 1, -28369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 9*q - 9. Let v be i(-7). Suppose 4*o + 25 - 1 = w, 0 = v*w + 2*o - 54. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 56*i - 804. Let m be p(18). What is the highest common divisor of m and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 26505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7137 to 2 decimal places.\nAnswer: 0.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 2*s = 20. Let z be ((-18)\/s)\/((-3)\/(-90)). What is the units digit of z\/20 + (-6)\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -89 - -0.218.\nAnswer: -88.782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -37 (b) 0 (c) 0.1 (d) -4\/23 (e) 3 (f) -1\/3 (g) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 - -63. Suppose -2*t = 3*t - b. Let o(u) = 1 - 5*u**2 - t*u + 4*u - 2. Calculate o(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+6800878\nAnswer: 6800877.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 32*p**2\/3 + 206*p\/3 + 58 = 0. What is p?\nAnswer: -87\/16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3092 and 6760?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 690220?\nAnswer: 2, 5, 34511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5674111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-315))\/((-58)\/(-261))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24*1\/((-5)\/10*6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 x when two letters picked without replacement from meqmsex.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 + 14*p**3 - 3*p**2 + 4*p**3 - 13*p**3 + 5*p**2.\nAnswer: 5*p**3 + 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -0.2. Let z = -106 + 100.1. Let r = 6 + z. Which is the closest to r? (a) 1\/4 (b) 1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 21*f + 44. Let w be k(24). Let l(y) = y + 3. Let r be l(-4). Let s be w\/(-176) - r\/(-4). Which is smaller: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 3*u - 103 = -136, -3*i = 5*u - 54 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = g - 13 - 4, 0 = -g - 4*t + 22. Let y(x) = -2*x**g + x - x**3 - 2 + 2*x**3 + 2. Suppose -5*q = -8*q + 6. Give y(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/((k\/k**(-1))\/k)))**(-10)\/(k*k**0*k*k**4*k) assuming k is positive.\nAnswer: k**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -85.85?\nAnswer: -85.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 3. Suppose 5*o - 22 = -g*n + 6, -4*o - 4*n + 24 = 0. Suppose -65 = -5*l - o*j, -4*j + 19 + 17 = 3*l. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2*i - 152, 3*i + 3*m - 11 = 172. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -26\/5 (c) 2\/11 (d) -3\/4 (e) 10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v**2 + 3*v - 143. Let f(s) be the first derivative of -s**2 - 5821. What is f(i(p))?\nAnswer: 6*p**2 - 6*p + 286","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000200 (base 3) in base 2?\nAnswer: -1011101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9030 and 18060?\nAnswer: 18060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 37*w**2 + 32*w + 1187. Let i be y(-37). Let l be ((-1)\/(-2))\/(1\/(-10)). Which is the second smallest value? (a) 2\/17 (b) l (c) i (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(2 + 2 - 3)*(-z + 0*z + 0*z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -58*h*j**2*k**3 + 2*h*j**2*k**2 - 10*h*j**2 + h*j*k**2 + 7*j**2*k**2 + 7*j*k**4 wrt k?\nAnswer: -348*h*j**2 + 168*j*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.715 less than 76?\nAnswer: 123.715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 + 12. Which is the nearest to o? (a) 0.5 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/3)\/((-2)\/12). Let i be 1\/(3 + (-5)\/m). Find the third derivative of -7*t - t**5 + 5*t + 2*t**2 + i*t wrt t.\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5 = t - 17, 0 = 3*t - 5*u + 4. Suppose 18*f = 15*f - 15. Put -3, f, t, 4 in decreasing order.\nAnswer: 4, t, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 4, -151, 5 in ascending order.\nAnswer: -151, -5, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130894?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 268801.077 to the nearest ten.\nAnswer: 268800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 151*l - l**2 + 1167 - 1168 - 26*l**3 - 149*l + (-2*l**2 + l**2 + 2*l**2)*(-2*l + 2 - 2) + 0*l**3 - l**3 - l**3.\nAnswer: -30*l**3 - l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 205 - -6a92?\nAnswer: 7197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/40 or 13331?\nAnswer: 13331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58 - 54. Let j be (16\/18)\/a - (-500)\/18. Suppose -5*p = -12*p + j. Calculate the greatest common divisor of 36 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54 (base 12) to base 2.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.1 - 14. Let c be -15*-16*(485\/500 + -1). Which is greater: c or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 - (-70 - -44) - -1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -3.95. Let s = z - 0.03. Let o = s - -0.079887. What is o rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11514 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 14, -5.\nAnswer: -5, -2, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 5*f + 9. Let z be c(8). Let t = -9 + 9. Suppose t = -n - 4*y + 42, 5*n = -y - y + 120. What is the greatest common divisor of n and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54724932 to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 907043\/110615*4\/205?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3*1)\/(75\/(-200))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 64*c**2 - 78*c + 211. Is o(-68) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r + 14. Let x be o(12). Let c(m) be the first derivative of 0*m + x + 3\/2*m**2. Let h(d) = 2*d**2. Calculate h(c(g)).\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3044288 or -88284394\/29?\nAnswer: -3044288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*r**3 - 916*r**2 + r - 32943 wrt r.\nAnswer: 36*r**2 - 1832*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 7*o**3 + 4*o**2 + 14*o + 8. Let k(p) = -13*p**3 - 9*p**2 - 28*p - 15. Let j(u) = -6*k(u) - 11*m(u). Let a be j(-7). Is 51 a factor of a\/(5\/2 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -612 + -31102?\nAnswer: -31714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -24\/7, -22\/7, 2, -60?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39150 divided by -5.\nAnswer: -7830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(363) - 3*(sqrt(363) + -2)) + sqrt(363))**2*3 + -2)*-2.\nAnswer: -2394 + 792*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/8 + 174\/24. Suppose -c + 4*c = -2*x + 475, -c = -5*x - 164. Suppose 4*j - c = -s. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/5)\/((23\/10)\/(-23)). Suppose r + 2*q - 11 = -2*r, 4*r - 10 = n*q. Put 174, -1, r in descending order.\nAnswer: 174, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.429388273 rounded to 2 dps?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 7*u**2 + 5*u - 3. Let m be a(-6). Let p(v) = 2*v**2 + 21*v - 7. Let g be (-378)\/36 - 1\/2. Let n be p(g). Solve n = m*f - f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 2993859?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*m = -3*m - 4, -52 = -2*z + 2*m. Let x be 0*(z\/(-6) - -3). Let r be 0\/(-5 - (-4 + x)). Solve 5*p = -r*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 1. Let y(p) = 3*p**2 - p + 5. Let n(z) = -f(z) - y(z). What is n(-3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 180 = -0*d - 5*y, -3*d = y - 104. Suppose -37*s + d*s + 5706 = 0. What are the prime factors of s?\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*a + 4592 + 3304 = 435*a for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r - 10197 = -24*r - 18*r. Solve -r*d + 306*d = 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 1)*(9*r - 7*r - 13*r) in the form f*r + a and give f.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -0.059 (c) 1 (d) -26 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 6:28 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178849.\nAnswer: 11, 71, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 67, 105, 147, 193, 243, 297?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 3) + 2 + 30\/39. Are -1 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 9*t + 3. Suppose -2*m + m = 3*w - 1, -4*m = -w - 43. What is the units digit of b(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 1, -24961, -100?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*c + 4*c = -4, -5*c - 10 = 2*w. Suppose w = -9*v + 6*v + 6. Solve q = -5*d + 29, 5*d - v = 4*q + 7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40333.24 rounded to the nearest 1000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9606.935 millennia in centuries?\nAnswer: 96069.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2090869.\nAnswer: 11, 67, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 4:12 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1018*r**2 + 0*r - 950*r**2 + 0*r.\nAnswer: 68*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -53*o**4 - 248658*o + 39427860?\nAnswer: -212*o**3 - 248658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3849 + 3852. Solve 2*k - k - 10 = 2*d, -3*k - 3*d + t = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 0.2, -0.1, 4, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1980.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 3*d + 17 = 1, d = 13*b - 249 + 154 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*m = 57*m - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/616 and 97\/1320?\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 19*y + 34. Determine c(17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 3:27 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.065342 tonnes in kilograms?\nAnswer: 65.342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 638 + -634. Solve 5 = -s, -6*k + q*k = 5*s + 31 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (49 + 0)*(2 + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.277 and 1.0089.\nAnswer: 2.2859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-5))\/(92\/(-20) - -3).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2 - 64*k + 136. What is w(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(121) - (sqrt(121) + (sqrt(121) - (sqrt(121) + sqrt(121)*3 - sqrt(121)))))*5 - sqrt(121)) + sqrt(121))\/(6*sqrt(99)).\nAnswer: 5*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100176410 is divided by 113.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189535, -189787, -190159, -190711, -191503, -192595?\nAnswer: -194047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 20. Let v = 19 + b. Let j = 10 - v. Sort j, 1, 4 in decreasing order.\nAnswer: 4, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375130799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 195 (b) -5 (c) 2\/3 (d) 1\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s. Let l(r) = 3*r**2 + 179935*r - 5. Give l(t(x)).\nAnswer: 12*x**2 - 359870*x - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 422 + 323 + 535 = -256*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -0.36 (c) -1\/11 (d) -36026\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.18 + 2.82. Which is the second smallest value? (a) -4 (b) 0.9 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -9. Suppose -y*a + 33 = 7. Let o(q) = q**3 - 7*q**2 + 3*q + 3. Calculate the remainder when o(7) is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290*o - 247 = 43*o. Let v = -9 - -13. Sort -1\/4, -0.19, o, v.\nAnswer: -1\/4, -0.19, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153940.\nAnswer: 2, 5, 43, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20392577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -133*c**4*t + 307*c**4 - c*t - 2*c - 13*t - 344 wrt c?\nAnswer: -1596*c**2*t + 3684*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(19) + 1)**2 + 5 - (0 + -1 + sqrt(19))) + 5.\nAnswer: sqrt(19) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.577 - -0.617. Let a(v) = v + 1. Let i be a(3). Suppose -p + i = 2. What is the third smallest value in c, 5, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 - 15 - 3*h**3 + 16 - h**3 - h + h + h**3 + h**3 + 28*h**3 + h**3 - 2*h + 2*h - h**3 - h**3 + 4*h**3 - 2*h**3 - h + h + (h + 3 - 3)*(h**2 + 1 - 1).\nAnswer: 28*h**3 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -10525 greater than -10542?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 32. What is the tens digit of 842\/7 - ((-76)\/n - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 7*v - 4. Let a be d(6). Suppose 0 = a*b - 7*b + 25. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 9:24 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 627*a**2 - 6*a + 8. What are the prime factors of p(4)?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - x - 7 = 0, -5 + 11 = q - 3*x. Let j(b) = -2*b**3 - b + b**q + 0*b**3 + 0*b**3. Suppose 0 = 2*r + 2*y - 0*y - 8, -y = 5*r. What is j(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 34*f**3 + 4*f**2 - 6*f + 5. Let b(q) = -11*q**3 - q**2 + 2*q - 1. Determine -7*b(k) - 2*h(k).\nAnswer: 9*k**3 - k**2 - 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -1\/8 (c) 5 (d) -2 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/45)\/((-44)\/66) - -19?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -617*z**3 + 10*z**2 + 195. Let m(h) = 2467*h**3 - 44*h**2 - 781. Let c(k) = 9*i(k) + 2*m(k). Find the third derivative of c(y) wrt y.\nAnswer: -3714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*h = -27, -5*q - 2*h = -0*h. Suppose -2*t - 6 = 0, q*x - 3*t = 19 - 2. Suppose -4*d = 2*n - 49 - 7, 2*d = 5*n + 40. Solve -d = -x*j + j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 + -0.2. Let c = -0.28 - b. Let d = c + 1.98. What is the second smallest value in 3, -4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2838359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1062\/11 + 2163\/22. Calculate the common denominator of 59\/1760 and l.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/16 and -111\/207944.\nAnswer: 415888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21707\/18 - 143309641\/118836. Let z = -30245\/16887916 - t. Let b = z - 113823\/5116. What is the common denominator of 51\/8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, -5, 0.2, 0, 43 in decreasing order.\nAnswer: 43, 4\/9, 0.2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**3 + 1512020*n**2 + 285766487714*n - 3429415586904 = 0.\nAnswer: -378011, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**4 - 1197355*x**3 + x**2 + 1197587*x**3 - 25*x**2 as g*x**3 + i*x**2 + z + c*x + r*x**4 and give g.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30461720*l**2 - 3 + 3 - 30461732*l**2.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 69 (b) -5 (c) 1.9 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-27)\/(-12))\/((-4)\/16). Let n be ((-30)\/r - 5)*(-1 - 2). Solve n*w + 15 = -4*z, w = -z - 2*z - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a day in hours?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -12 + -1 + 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from otalozl. Give prob of sequence zlta.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, -1\/7, 40904, 5, 2, 0.07 in increasing order.\nAnswer: -1\/7, 0.07, 5\/4, 2, 5, 40904","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -39*k**5\/20 + 25*k**4\/6 - 15*k. What is the third derivative of u(v) wrt v?\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, e: 2, a: 1}. What is prob of picking 1 e and 1 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/25 - (-17)\/(-5). What is the common denominator of 149\/4*x\/9 and -85\/14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((-1*sqrt(99))**2 - (sqrt(11) - (sqrt(99) + 1) - sqrt(11))) + 2*(2*sqrt(11)*-3)**2).\nAnswer: -1784 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 74280 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -103202849.\nAnswer: 1\/103202849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 142, 285, 428?\n\"Answer: 143*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 10*t**2 - t + 7. Calculate the least common multiple of o(3) and 10.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.035682335 to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 12:59 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 4*u - 5*i - 11, -1226*u - 13*i + 56 = -1224*u - 6*i for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -735 (base 14) to base 6.\nAnswer: -10323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a decade?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13\/(390\/20) - 4\/9. Suppose o*h + 0 - 2\/9*h**3 - 2\/9*h**2 + 2\/9*h**4 = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-138)\/(-132)*(-12)\/8 and 39\/14.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4584 is divided by 1527?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4\/4817 (b) -1\/3 (c) -1\/5 (d) 0.015\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -26, 11, 0.2, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 101*q**3 - 229*q**2 - 231*q - 1. Determine w(-1).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -10. What is the second derivative of 5*s**2 - s + h*s + 6*s wrt s?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352 = -3*z + 35*z. Suppose z = -3*u + 4*k, 4*u - 33 = -k - 16. Solve r + u = -x, -x - 12 = x + 4*r for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-1*(-1 + sqrt(1700) + -1) + ((5*(sqrt(272) + 2))**2 - (1*(1 + sqrt(17)))**2*-1).\nAnswer: 432*sqrt(17) + 6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -509675\/22 - -23162. Let z = -15854\/5565 + -5\/4452. Find the common denominator of m and z.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*t - 2549 = -440. Solve -8*k + 3 = -t for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from vviiiivinnini?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 11:22 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rpjrrrrtrhphtrtyhjp. What is prob of sequence pt?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 6*r = -12. Let k(t) = -7*t + 3. Let z(b) = 3*b - 1. Determine r*k(y) - 9*z(y).\nAnswer: y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 906450 and 426.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 + 57. Let t be (1308\/(-16))\/(r\/(-576)). Suppose t + 61 = 11*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p - 20. Let c be j(9). Find the common denominator of (-2)\/c + 1719\/(-84) and 4\/(-10) + (-818)\/(-20).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -123.7689819168 and -16.\nAnswer: -139.7689819168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4672?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 3 + 3 + (34 - 36)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*a - 47*a - 75. Calculate the least common multiple of 20 and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 670 times 10\nAnswer: 6700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 0*t**2 - 22*t - 83\/6*t**3 + 20\/3*t**4 + 2. What is the second derivative of i(w) wrt w?\nAnswer: 160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -3*i**3\/4 + 3*i**2\/2 + 3*i\/4 - 3\/2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001970456953 rounded to 7 dps?\nAnswer: -0.0000197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27916419*i**2 + 10624*i + 3250?\nAnswer: 55832838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*p*p\/(p**(-1\/20)\/p)*p*p*p*p**(-1\/2) assuming p is positive.\nAnswer: p**(151\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101120 + 1200220210?\nAnswer: 1200112020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 12:13 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00044364061 to six decimal places.\nAnswer: -0.000444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*f = -37*f + 3*b - 16, -5*f = b - 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1395785 centuries in months?\nAnswer: 167.4942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 8*h + 7. Let w be u(-5). Let n be (-50)\/w + 4\/(-3). Are n and -0.02 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.02 (b) 0.3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 127 + -13?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aurxqaa. What is prob of picking 1 q, 1 u, and 2 a?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l + 28. Let d be y(-8). Put d, 0.13, 1 in decreasing order.\nAnswer: d, 1, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7710285 is divided by 1392?\nAnswer: 1389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.99 + 0.01. Suppose -3*s + 11 = 2. Let o be (-5)\/4 + 3\/s. Which is the nearest to d? (a) -2\/3 (b) o (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f - 3*f = 2*f - 30 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -688, -697, -710, -727?\nAnswer: -748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**28)\/(a\/(a*a\/((a\/a**(-24))\/a))))\/(a**(-15))**(10\/7) assuming a is positive.\nAnswer: a**(192\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + y - 4. Let v be q(4). Let b = v + 42. What are the prime factors of b?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10379285 + -10379331.98627. Let s = p - -42.9862684. Let t = 4 + s. Round t to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -7*q + 13. Let l be t(2). Let u be ((-2)\/(-2))\/l - 1826\/(-1958). Is u greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-26)\/5 + 11\/55. Let t be (-8)\/w*10\/4. Suppose t = -3*c + 43. Is 13 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.16768312 and -0.2.\nAnswer: -0.36768312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 474 = 2*w, -p + 725 = 4*w - w. Let q(n) = -n**2 - 30*n - 37. Let s be q(-22). Let k = w - s. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*a + a. Let f(z) be the first derivative of 1\/2*z**2 - z - 1\/4*z**4 + z**3 + 1. What is f(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -15. Let c(b) = -b**3 + 3*b**2 + 4*b - 6. Let s be c(4). Let w = i + s. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181616?\nAnswer: 2, 11351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*z + 17*z - 8 - 10*z + (z + 2*z - 2*z)*(3 - 3 - 1 + (2 - 2 + 2)*(5 + 0 - 4)).\nAnswer: -z - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14420256 and 0.5.\nAnswer: 7210128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8648909?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -3.2. Let y = 65 - 68. What is the nearest to s in y, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 404, 822, 1240, 1658, 2076, 2494?\n\"Answer: 418*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 392 + -387 + (16 - (-3 + 7))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 2 + 25 - 1. Let r be -4*(-1 - 6\/4). Suppose -2*i + a + r = 0. Solve 0*g - 5*c - i = -g, -3*c = 9 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1248075?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32058 + -31966. Does g = 1299\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 2:49 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-40)\/(-16))\/((-1)\/(-4)). Solve 0 = 56*q - 54*q - j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9460600 to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17290, -17448, -17884, -18736, -20142, -22240, -25168?\n\"Answer: -23*x**3 - x**2 + 6*x - 17272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13 + (-2 + -2 - -3). Suppose -2*m = -10 - x. Suppose 1 = -0*k + k. Solve -m = -4*j + k for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (91\/14)\/(((-42)\/(-28))\/(-3)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*9\/150)\/((-18)\/(-90))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -9 + (-4 + 2 - 2).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwtwddwwtwwutwwwwdwu. What is prob of sequence dud?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2045 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.721 - -0.279. Sort z, -41, -2\/9.\nAnswer: -41, -2\/9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 548, 649, 910, 1397, 2176, 3313?\n\"Answer: 11*z**3 + 14*z**2 - 18*z + 541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3435, -6866, -10299, -13734, -17171?\nAnswer: -20610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*p + 13*p - 532386. Let j = p - -5856310\/99. Find the common denominator of j and 49\/90.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -21*d + 123. Let c(k) be the third derivative of -k**6\/120 + 7*k**5\/60 - k**3\/2 - 11*k**2. Calculate c(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 + (35 - -3) + -17 + -35?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 611*r + 4257. Calculate d(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*a + 7. Let d = 1 - a. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-3) + 19\/3. Let l(b) = -h*b**2 + 5 + 2*b + b**3 + 1 + 1. Is l(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/8*(-22)\/((-7)\/(-56)*28).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 3:22 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 - v + 1. Suppose 0*n - 5*n = -15. What is the units digit of p(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 71786 and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 81*y**7\/28 + 279*y**6\/20 + 42*y**5\/5 + 3*y**4\/2 - 48*y. Suppose p(a) = 0. What is a?\nAnswer: -3, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -38345.\nAnswer: 1\/7669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 5*c - 18, -5*c + 0*w + 14 = 4*w. Let d = 5 + c. What is the remainder when 32 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -17 and 812875.\nAnswer: 812858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 12, 878428 in descending order.\nAnswer: 878428, 12, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (0 + sqrt(108))**2 + 3 + 2 - ((sqrt(108)*-1)**2 + 3 + (sqrt(108) - -3*sqrt(108))**2*2).\nAnswer: -3456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 112\/(-60) - (-2)\/(-6). Let w = 23\/15 + x. Which is the third biggest value? (a) w (b) 0.5 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 882797 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -3 (c) -12\/91 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)\/d)**43\/((d\/d**(4\/13)*d)\/d*d**0) assuming d is positive.\nAnswer: d**(-1127\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -119*h**3 + h**2 + 8*h - 6. Let a(r) = 79*r**3 - r**2 - 5*r + 4. Determine -8*a(t) - 5*w(t).\nAnswer: -37*t**3 + 3*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*p - 9*p - 35. Let m be (5 + 0)*(-2)\/(-5). Put p, -2, m in decreasing order.\nAnswer: p, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 8*l**2 + 10*l. Let b(n) = 8*n**2 + 9*n. Let q(y) = -7*b(y) + 6*p(y). What is the second derivative of q(s) wrt s?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17434632 is divided by 17434607.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 81896582 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 6 = -3*d, 4*d - 4*y - 23 + 31 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1312 (base 5) to base 8\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -426 - 272*h**2 + 426 in the form n + o*h + k*h**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 - 2*q - 4. Let f be d(-2). Let y(a) = a - 4. Let c be y(f). Calculate the common denominator of -1\/8 and c\/10 - (-1536)\/(-540).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -26*n. Suppose -10*o + 8*o = -4. Let i(q) = -o*q + 0*q + q. Calculate a(i(h)).\nAnswer: 26*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -16*m**2 - 2. Let d(c) be the second derivative of -c**3\/6 - 152*c. Give d(k(t)).\nAnswer: 32*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 34.838 and 336089636.\nAnswer: 336089670.838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = 3*z - 3*k, 534*z + 82 = 535*z + k. What is the greatest common factor of 266 and z?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -318.33 - 4.67. Let k = m - -322.6. Sort -4\/7, 1\/4, -4, k in decreasing order.\nAnswer: 1\/4, k, -4\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(1\/3))**(-31)*(w*w**(-1))**(-5\/6) assuming w is positive.\nAnswer: w**(-62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 2*h + 4. Let d be k(-4). Let s be -2 - d - (2 + -12). Let f = s + -8. What is the highest common factor of f and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(11\/28 + (-17)\/119). Put m, -236, 2 in descending order.\nAnswer: 2, m, -236","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r\/(r*r*(r*r*(r\/(r\/r**(5\/2)*r*r*r*r))\/r*r*r)\/r)*r))\/r**(-2\/47))\/(r**(2\/9)\/r*r)**(2\/83) assuming r is positive.\nAnswer: r**(37721\/70218)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*q - 6*q. Suppose l - q*l + 6 = 0. Solve 15 = l*g + 2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 161, 649, 1463, 2603, 4069, 5861?\nAnswer: 7979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*y + 19. Suppose -z - 4*b = -4*z - 5, 2*z + 4 = y*b. Solve 0*q - z = -q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214*y + 15 = -219*y. Suppose 0 = -3*c + 2*c - 1. Sort -2, y, c, -4 in ascending order.\nAnswer: -4, y, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -571*a + 576*a + 29*s + 103, -2*s = -5*a - 196 for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1713357712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/18 and -143\/438.\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 360996679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 divided by -21?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 163 = -10*q. What is the greatest common divisor of q and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 47 + 339. Let o = -9 + 19. What is the remainder when t is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o - 4. Let j be w(2). Let p be j*1 - 0 - -12. Calculate the highest common factor of 25 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*o + 82256 + 52386 = 0. List the prime factors of o.\nAnswer: 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.25, -1, -11, -1\/2, -2.\nAnswer: -11, -2, -1, -1\/2, -0.25, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2450 (base 6) to base 15.\nAnswer: -2a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 - 101010110111110101?\nAnswer: -101010110111101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-77) + 171\/33 + -13\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.39? (a) -3\/11 (b) -54 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5 = 4*a, 10*v - 8*v - 5*a + 15 = 0. Suppose 0 = p - v*t + 10*t - 225, 0 = t - 2. Which is greater: 216 or p?\nAnswer: 216","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g - 16 + 96 = 5*v, 4*g + 4*v - 15219 = -15163 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53977 + 24222. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (2*-3*sqrt(352) + sqrt(352))\/(sqrt(55)\/sqrt(320)) + 4)*5.\nAnswer: -800*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 52 = -17. Let x(u) = -5*u**3 - 7*u**2 + 8*u + 10. Let a be x(o). Suppose -5*g - h + 1653 = -2*h, -h + a = 4*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11287280 to the nearest ten thousand.\nAnswer: 11290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -13903\/1499?\nAnswer: -13903\/1499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-27)*(v*v\/(v*v**(3\/26)*v))\/v assuming v is positive.\nAnswer: v**(-731\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -197, 4, -199654 in descending order.\nAnswer: 4, 2, -197, -199654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + ((-12)\/8)\/((-3)\/6). Solve -2*v + 0 = t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0*z - 245 = 0. Suppose 5*f + 76 = 5*u - z, -f - 97 = -4*u. Factor -d - u*d**3 - 17\/2*d**2 - 45\/2*d**4 + 0.\nAnswer: -d*(3*d + 1)**2*(5*d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 66 * -4784.\nAnswer: -315744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 125 - 623\/5. Let p = 4 - 2. Sort 0, z, p in decreasing order.\nAnswer: p, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 - 5*u + 11. Let c(i) = -i**2 + 2*i - 5. Let x = -5 - -1. What is x*z(j) - 9*c(j)?\nAnswer: j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - h**2. Let g(u) = 11 - 2*u**2 - 2*u - 3*u**3 - 38 + 27. Let q = 1 + 3. What is q*r(s) - g(s)?\nAnswer: -s**3 - 2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5316, 5314, 5312?\nAnswer: 5310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -307, -1049, -2243, -3895, -6011, -8597?\nAnswer: -11659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -300 - -205. Which is greater: n or -98?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.122 in 2, -1\/2, -1, -14?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 58157 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 148 + -152. Let p(u) = -u**3 - 4*u**2 - 2*u - 3. Let b be p(-3). Let j be b\/(-24) + (-503)\/q. Calculate the greatest common divisor of 14 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*o + 384 = 85*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(((-736)\/(-168))\/46).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/13 (b) -2 (c) 2.9 (d) 9 (e) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 93 = 33. Suppose -2*o - m = 3*o. Let k(v) = v**2 + 3*v - 2. Let w be k(o). Solve -w*p - 5*q = -5, 2*q + 19 = 3*p - 2*q for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2*(-1)\/10)\/((-201)\/(-335)). Let s(f) be the first derivative of p*f - 1\/9*f**3 - 3 + 0*f**2. Suppose s(a) = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85.539 * 86.8\nAnswer: 7424.7852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 7. Suppose 8 = q*n, v + 3*n = n + 8. Suppose 0*k + 8 = 2*k. Solve -2*l + 13 = -3*m, 9*m = -k*l + v*m - 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/1679 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*b + 3*b + 145*b.\nAnswer: 214*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(7\/2)*u*u*((u**(-1\/2)\/u)\/u*u)\/u*u*u**7\/((u**(-5)\/u)\/u))**31 assuming u is positive.\nAnswer: u**558","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2066, -1857, -2130, -2885, -4122?\n\"Answer: -241*q**2 + 932*q - 2757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 12\/25 of a meter?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3*-1*sqrt(72) + -4)**2 + 2 + -4*sqrt(72) + -4 + sqrt(72)*-2.\nAnswer: 108*sqrt(2) + 667","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -1. Let c(t) = -3*t + 7. Let k(u) = c(u) + 6*z(u). Differentiate k(i) with respect to i.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 6:19 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -602 or -478?\nAnswer: -478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1520)\/800 + ((-33)\/110 - (-4)\/10)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -28, 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -5. Let u = -6 + 6.3. Put 1\/2, u, a in decreasing order.\nAnswer: a, 1\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1624\/1015)\/((-32)\/(-5))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/127414721 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/15, 72.8, -22, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 589, 2352, 5289, 9400, 14685, 21144?\n\"Answer: 587*a**2 + 2*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -678293 divided by -61663\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 16. Let w be u(-12). Let i be (-14)\/(-34)*18\/7. Let z = 285\/68 + i. Which is greater: w or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-2))\/((-5)\/(-30)). Suppose -3*s = -5*g - 2, 6*s + y = s - 4*g. Let b = s + 7. Calculate the remainder when 10 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**5 + 11*k**4 - 22*k**3 + 19*k**2 + 3*k + 3. Let d(s) = s**5 + 9*s**4 - 22*s**3 + 18*s**2 + 2*s + 2. Let l(z) = -3*d(z) + 2*y(z). Factor l(g).\nAnswer: -g**2*(g - 2)*(g - 1)*(g + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -45 + 4?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0 + 1296*h**2 - 67*h + 0 + 4*h - 1395*h**2 wrt h?\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 411\/45 + (-4)\/30. Let t be 9*(-3)\/o - 3\/(-1). Solve -z - 1 + 3 = t for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**5\/60 + 7*y**4\/24 - y**3\/6 + y**2. Let v be n(-7). Suppose -2*k - 4*c = -3*c - 2, -2*k - 2*c + 4 = 0. Is k <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 12, -3*a + 20 = -2*m + 60. What is the remainder when 466 is divided by m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-170*m - 129*m - 106*m + (4 - m - 4)*(0 - 2 - 1))*(-m**2 - m + m + (2 - 2 + 2*m)*(4*m - 6*m + 3*m)) to g*m + u + d*m**3 + b*m**2 and give d.\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10220121000100 (base 3) to base 10.\nAnswer: -2078388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -2*r + 1\/4*r**2 + 1\/40*r**5 + 2 - 1\/12*r**3 - 1\/24*r**4. Find b such that s(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1fdeb + 2?\nAnswer: -1fde9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32213 + -10?\nAnswer: -32223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 15) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p**5\/17 + 2916*p**4\/17 - 85924*p**3\/17 - 566376*p**2\/17 - 757710*p\/17 + 264708\/17 = 0.\nAnswer: -3, 2\/7, 43, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) + sqrt(65)*2)*-2)\/(sqrt(10)\/sqrt(2)*-4) - (-1*sqrt(130)*4)\/(-5*sqrt(40)).\nAnswer: 11*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + -23*6328\/(-3864)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147 and 5439.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/7 (b) -3\/2 (c) -0.5 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -i**4\/2 + i - 18. Let d(z) = 11*z. Calculate d(s(n)).\nAnswer: -66*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**3 - f**2 + f + 1. Suppose 9*v = 7 - 16. What is j(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h - 4. Suppose -2*o = -3*v + 59, -4*v = -95*o + 92*o - 77. Let t(i) = -42*i + v*i + 18*i + 1 + 1 - 3. Calculate 2*g(q) - 9*t(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 373 + 957 = 0. Let k = x - -461. Suppose 0 = -0*s + 3*s - k. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5 - 3 + 2 - 2*s - 7. Let r(a) = a + 2. Suppose -483 = -12*x + 45. Suppose 20 = 6*z + x. Calculate z*o(f) - 6*r(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 1843267?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, 10, -5 in descending order.\nAnswer: 52, 10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 168449.21 to the nearest one thousand.\nAnswer: 168000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2227885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (72\/33 - 2) + (-9)\/(-11). Let y(z) = -4*z - 4. Let b(h) = 1. Give d*y(n) + 6*b(n).\nAnswer: -4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -243741\/259 or -942?\nAnswer: -243741\/259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/286 and -19\/77?\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-12)*(5 + 1). Suppose -v*z = -z - 118. List the prime factors of z.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 2:28 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y. Let t(q) = -8477*q. Determine g(t(u)).\nAnswer: 8477*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*a - 2*a**3 - 168*a**2 + 3*a**3 - 148*a.\nAnswer: a**3 - 168*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -5)*(-3)\/(-2). Suppose -2*q = -f*q - 4. Let b be 10\/q*72\/(-20). What is the greatest common factor of 45 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 1598643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -321, -870, -1419, -1968?\nAnswer: -2517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1159635 to the nearest integer?\nAnswer: 1077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(4\/11)\/v))\/v)\/(v\/v**(-6))*v**(4\/7)*v**(-9\/2) assuming v is positive.\nAnswer: v**(-1585\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 394.7536196 rounded to two decimal places?\nAnswer: 394.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -71 + 75. Solve -1 = o*t + 7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -105 + 103.59. Let r = 2.1 + l. Round r to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 8*j**2 - j - 2. Suppose 0 = -133*d + 136*d + 15. Is i(d) a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 100\/3 + -33. Suppose -4*k = -8, 0*o - o + k = -6. Which is smaller: o or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 368 + 21*q**3 - 543 + 175.\nAnswer: 21*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 3*x - 4)*(x + 4*x + x)*(2 - 2 - 3*x) as q*x + w + g*x**3 + s*x**2 and give g.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66463*r**2\/6 + 3123773*r\/6 - 94 = 0. What is r?\nAnswer: 12\/66463, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + (-10 - -1) - -16) + -2 + -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a - 91fa?\nAnswer: -9204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -5, -1\/4, -20638668?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 - 2*w + 1. Let n be v(2). Suppose -n*t + 155 = -0*t. Suppose 5*x = -t + 131. What is the lowest common multiple of x and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 6\/3782201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -333*b + 240*b + 246*b - 2295 = 0 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -6*v - 5. Let j be l(-2). Solve -5*q = 2 - j for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7 + 0.2. Let n = 0.8 + -0.5. Let k = n + -0.5. Which is the nearest to 1? (a) k (b) g (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 3*v - 16 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 33176 divided by -1\nAnswer: -33176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.7 (b) -3 (c) 0.1 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 440\/30 - (-3)\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 15, 4, -5, -12, -17?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 916 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -8*t - 16. Let b be g(-7). What is the greatest common factor of b and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 91 and 600853?\nAnswer: 54677623","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -19188, -1927, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)*-1)\/sqrt(8))\/sqrt(3) + sqrt(50)\/(1*(sqrt(40)\/sqrt(4) + sqrt(10))).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20a - a8?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 3*m = 15. What is the common denominator of (-3)\/m - (-159)\/(-15) and 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1373941.5 hours?\nAnswer: 57247.5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*1*sqrt(34) - sqrt(34)) + sqrt(170)\/sqrt(5)*2)\/((sqrt(300)*1)\/sqrt(6)).\nAnswer: -4*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9142.7 and -2?\nAnswer: 18285.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/34 - 141\/170. Let y be (-4)\/14 - (-47)\/42. Which is the biggest value? (a) 0.5 (b) y (c) 1 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j + 816592 - 816592.\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**1\/w*w*w*w)\/w)\/w*w**(-22)*(w**(1\/15)*w)**(-7\/2) assuming w is positive.\nAnswer: w**(-356\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 424*w**2 - 421*w**2 - 101 + 2*w as r*w**2 + q*w + b and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**3 + 3*l**2 + 7. Determine t(4).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w = 7. Suppose k = 5*k - 48. Let z = k + w. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 35*i - 26. What is the units digit of h(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j = -19536*n + 19531*n + 35, 3*n - 13 = -2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61.67 - 61.27. Which is the nearest to -10\/7? (a) -2\/5 (b) 4\/5 (c) -0.01 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.39979 years in months?\nAnswer: 892.79748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -2. Let q = 25 - 23. What is the highest common factor of j and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 192*d**3 - 2843104*d**2 + 31963849540*d\/3 - 2868930585200\/3.\nAnswer: 4*(d - 92)*(12*d - 88295)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 24240000 rounded to the nearest one million?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 20 = 4*j, -56*j + 60*j + h - 10 = 0. Let a(r) be the second derivative of -1\/6*r**4 + j*r - 1\/3*r**3 + 0 + 2*r**2. Determine f so that a(f) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4698, -9208, -13718?\n\"Answer: -4510*q - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (391\/(-276))\/(21\/252)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 - aa04e?\nAnswer: -aa058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 5. Let a be g(-6). Let r be 83\/(-3) + a\/3. What is the tens digit of -2 - (r - (3 - 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 101 - 99. Let f = 8194082\/51 - 482677\/3. Let r = f + 224. Which is the smallest value? (a) r (b) 3\/4 (c) g (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 3:26 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -6910*m - 31. Is y(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 10:56 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1*sqrt(171) - (sqrt(171) - (sqrt(171) + 0 + 1*sqrt(171))))**2*2 + -5 + (sqrt(171)*2*1 + -1 + sqrt(171) + -2)**2.\nAnswer: -54*sqrt(19) + 2911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29769 or -29770?\nAnswer: -29769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.293311 + 4\nAnswer: 4.293311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3981 is divided by 106?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-5))\/((1\/230)\/((-21)\/(-12))). Let u(v) = v - 2. Let t be u(9). What is the greatest common factor of t and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - q - 2*q)*(-3*q - q + 3*q)*(5*q - 6*q + 8*q + (q + 6 - 16*q + 16*q)*(3 + 3 - 7)).\nAnswer: 24*q**3 - 24*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 10 = 4*v + v, v + w - 4 = 0. Let k be ((-42)\/24 - (-3)\/(-12)) + v. Which is smaller: -5 or k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -30a709 + 236?\nAnswer: -30a483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 254670 divided by -5\nAnswer: -50934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-14)*(6 - -1). Suppose -10 + 2 = -m*j. Suppose 3*x = 4*s + x - 204, s = j*x + 51. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3169027 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -9. Solve c = -3*d + 10 - 22 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 - 19*y**2 - 14*y**2 - 22 in the form w + z*y**2 + h*y and give z.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + s - 6*s)*(0 + 0 - 2*s**3) + (4*s - 2*s + 0*s)*(2*s**3 + 3*s**3 - 3*s**3) + s**4 - 755*s + 4*s**2 + 755*s.\nAnswer: 9*s**4 + 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**2*m)**(22\/3))**48\/((m*m**1*m*m)\/(m\/m**(2\/17))*m**2\/(m\/(m\/((m*m\/m**(2\/5)*m)\/m)))) assuming m is positive.\nAnswer: m**(-299\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 17. Let t = b + 13. Solve -t*g - 5*w + 2 = 0, w + 2 = -3*g - 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42099?\nAnswer: 3, 14033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(250)\/(-4*(sqrt(5) + sqrt(125)) + sqrt(5)))\/(-1*sqrt(40) - -5*(sqrt(10) - sqrt(40) - sqrt(10))))*-4.\nAnswer: -sqrt(5)\/69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p + 7. Calculate the lowest common multiple of 44 and w(-3).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.5 - 9.49889. What is z rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, -1, 4, 0.47?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + 87.1\nAnswer: 87.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1604297\/70 - -22919. Let w = a - -17\/7. Suppose -5*l - 76 = 14. What is the common denominator of l and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13\/(-78) - (-586)\/(-12). Let n = v + 68. List the prime factors of n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85562235 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 0.7, -2110, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1705.7532 - 1507.75. Let y = 198 - p. Round y to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5425562 (base 9) in base 16?\nAnswer: -2c69a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35555510 to the power of 1\/2, to the nearest integer?\nAnswer: 5963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*i + 35*i - 5 - 2*i to p + n*i and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 8*p = -12. Let a(t) = -3. Let q(i) = -i + 4. What is p*a(v) + 3*q(v)?\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(24) + sqrt(72)\/sqrt(3)))\/sqrt(8) + 0 + 5.\nAnswer: 5 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 2, -0.02, -2\/3, 13 in decreasing order.\nAnswer: 13, 2, -0.02, -1\/6, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 23. Let h be (16\/k + 1)*0. Solve -4*m + 2*m = h for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2361167243 and 33.\nAnswer: -2361167210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-149)\/(-3) - 3\/(-9). Suppose -5*a + h = 5*d, -3*d + a = 3*a - 34. Suppose 0 = 2*y - d - 420. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/24)\/(-11)*3\/(-2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45418*g - 45391*g = -54 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (40\/(-6))\/(-2)*528\/440. Suppose 0 = 2*d + z*b - 81934, 5*b = 2*d + 3*d - 204790. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11428 + 22739. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (-4 - 1) - (-116)\/2. Suppose g - 68 = -y. Calculate the remainder when (110\/(-4))\/(2\/(-4)) is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 t when two letters picked without replacement from {c: 8, t: 2}?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312334 is divided by 313?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 410 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 214 - 215. What is the biggest value in i, -0.06, 0, -5\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -1412774\nAnswer: -2\/706387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1008433.\nAnswer: 1008433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 5*i**5\/4 - 15*i**4\/4 - 85*i**3\/6 - 15*i**2\/2 - 38*i + 1. Factor w(f).\nAnswer: 5*(f - 3)*(f + 1)*(5*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76b (base 14) to base 5.\nAnswer: 21332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118, -1771, -4512, -8335, -13234, -19203, -26236?\nAnswer: -34327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence im when two letters picked without replacement from xiwbwem.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 12:26 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 132511 divided by 1\nAnswer: 132511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 3*y + y)*(14*y - 14*y + 3*y**2)*(-2 + 2 + 2).\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 384*i - 785?\nAnswer: 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/189 - 124\/189. Let v(x) = 69*x**2 + 8*x - 2. Let t be v(0). What is the closest to t in z, 2, 0.1, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*q + 1)*(-5*q**3 + 4*q**3 + 3*q**3) - 8*q**4 + 37*q**3 - 37*q**3 as n*q**2 + i + y*q**3 + h*q**4 + f*q and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 156\/(-130)*5\/(-2). What is the closest to -5 in b, 0, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*x**3 + 16*x**3 - 33*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, 3286202, 1\/5, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 30 = -3*a, -a + 7 + 0 = -r. Let o = 2 + -9. Let c = o - r. Solve -2*g = -5*g - 4*u - 27, c*u = 4*g + 14 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296 = 1200*q - 1237*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1594930.\nAnswer: 2, 5, 349, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 3*h**2 + 2*h - 1. Let x be n(3). Suppose -a - x*u = -27, 0 = 2*u - 5 - 5. Suppose g - 12 = -a*g. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus -921?\nAnswer: 921.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 4*g**2 - 2*g + 1. Let m be z(3). Let a be (-10)\/4*(4 + (-128)\/20). Suppose w - a = -3*b, -3*w - b - 4 = -6. Solve -m*x + 2*x - 10 = w for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qffqffq. Give prob of picking 1 f and 1 q.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -23*t. Let v be p(-7). Let x = 352 - v. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from vvsvvvvsvvvv.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 47 (b) -14 (c) -2 (d) 0.4 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 33 - 71 + n + 38. Let x(y) = 216*y**2 + 15*y + 15. Let l = 12 + 3. Let a(h) = -31*h**2 - 2*h - 2. Let u(q) = l*a(q) + 2*x(q). Calculate u(d(p)).\nAnswer: -33*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**3 + 175*p**2 - 308*p - 501. Give y(-60).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qsql when four letters picked without replacement from emesleeqqqee.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6250697 to the nearest integer?\nAnswer: 2500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 67\/4 of a microgram?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + 0.4. Let h = 2.21 + -125.21. Let s = h + 123.1. What is the closest to v in -5, 4\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = c + 22. Let q = c + 16. Suppose -q*j + 45 = -0. Solve -3*z - z - 2*d = 6, -4*z - 5*d - j = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90328621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*x**2 - 210*x + 5 - 168*x**6 + 210*x + 45*x**6 wrt x.\nAnswer: -14760*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2785929 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 16*x + 18. Let d be (-1)\/(-2) - (-87)\/(-6)*-1. Let i be r(d). Solve 3*t - 3 = i for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, 3\/5, -5, -4, 0.03.\nAnswer: -5, -4, 0.03, 3\/5, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**6\/24 + 7*z**4\/12 - 21*z**2\/2 - 25*z. Let b(h) be the first derivative of m(h). Find the second derivative of b(l) wrt l.\nAnswer: 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27*368*26\/11232.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 14*o. Let q(f) = 2*f**2 + 2*f + 1. Let l be q(-1). Let h be (0 + l)*-11*-1. Let s be z(h). Calculate the greatest common factor of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/173 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + (-1886)\/41 + -13.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 451 + -6?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m + 2*m + 2*m - 2*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -290399 (base 10) to base 9\nAnswer: -482315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -141 - -144. Suppose -3*n = -4*u + 408, -o*n = -4*u + n + 412. What is the remainder when u is divided by 35?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1258 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3010 + 3363*d - 3010 to m*d + g and give m.\nAnswer: 3363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -289\/28 or -6\/23?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (510\/17)\/((-21330)\/(-56169))\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.318 rounded to 1 dp?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 134778432.7 + 4709464.3. Let n = -139487897.79999997 + b. Let z = n - -0.8. What is z rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -47335, -94669, -142003, -189337?\n\"Answer: -47334*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178384985?\nAnswer: 5, 257, 138821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -12.22, -5\/3 in descending order.\nAnswer: 26, -5\/3, -12.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -7*q + 69. Let x(s) = s**2 - 8*s + 68. Let j(o) = -6*i(o) + 7*x(o). What is the tens digit of j(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + y - 9 = 0. Suppose 4*h + 12 = h. Let b = 5 + h. Put y, b, 4 in decreasing order.\nAnswer: 4, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69.6 - 70. Which is the biggest value? (a) q (b) 5\/6 (c) 3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -9*q - 4. Let r = -17 - -24. Suppose 16 = 3*k - r*k. List the prime factors of c(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/1*(-33)\/44*4\/78\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 times 0.4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 20 + 4 = 0. Put y, 5, 260 in descending order.\nAnswer: 260, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 24887737, 24887747, 24887757?\n\"Answer: 10*g + 24887727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 6 = 5*i. Let y(p) = -6*p**2 - 2*p + 9. Let q(d) = 3*d**2 + d - 5. Let c(w) = -5*q(w) - 3*y(w). Is c(i) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 705042 to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 940 and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**2 + p**2 - 3*p**2 + (-4*p + 2*p + 0*p)*(2*p - 3*p + 0*p) + 0*p**2 - 2*p**2 + 0*p**2 - p**2 + 2*p**2 + p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 4*a - 8, 2*u + 2*a + 42 = 48 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/sqrt(4) + sqrt(2))**2*-1 + -2*sqrt(2) + 2.\nAnswer: -6 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/67 = -534522?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25 or 239537?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**5 + 68284*a**4 + 291453172*a**3 + 291248340*a**2 - 582769800*a = 0. What is a?\nAnswer: -8535, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m + 4*m - 3*m. Let z(o) = -12*o + 2. What is the lowest common multiple of 30 and z(m)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 15*a + 10. Let d(m) = -2*m. Calculate -3*d(y) - u(y).\nAnswer: -9*y - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21072 divided by -4.\nAnswer: 5268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57 (base 10) to base 2.\nAnswer: 111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 i, and 2 y when four letters picked without replacement from {y: 3, z: 5, i: 3, v: 2}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, g: 13}. What is prob of picking 2 g and 1 y?\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4202 + -2388. Put 4, -1, i in increasing order.\nAnswer: -1, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - i**2 + 3731*i + 14953. Give h(-4).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5983714 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((-5)\/(-1) + (-2 - 4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -303 + 308. What is the nearest to 0.3 in t, 3\/7, 1\/12?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.2 (b) 916 (c) -0.1 (d) -1314\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -2, 7173 in ascending order.\nAnswer: -2, 4\/5, 7173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.0742 + -272732\nAnswer: -272731.9258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5727, -23347, -52853, -94245, -147523?\nAnswer: -212687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -136*j + 143*j. Put j, -4, -11, -2 in decreasing order.\nAnswer: j, -2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -4 - -2 - 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 9:58 PM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**5\/9 + 1730*k**4\/3 - 3354016*k**3\/9 - 16858408*k**2\/9 - 9006400*k\/3 - 13520000\/9 = 0. What is k?\nAnswer: -2, -1, 1300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.325 + -0.325. What is the closest to 1\/3 in d, -3\/7, 1\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/4110 and -149\/822.\nAnswer: 4110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23328727*t**3 - 176*t**2 + 30340*t.\nAnswer: 139972362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 225, 227, 243, 279, 341, 435, 567?\n\"Answer: l**3 + l**2 - 8*l + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 2.12, 2\/17, 0.2?\nAnswer: 2.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -941*x = -947*x. Sort -16, -4, x, 2 in ascending order.\nAnswer: -16, -4, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 3:17 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 18 = p, -11*v + p = -0*p + 30 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(2\/11))\/(d*d**14\/d*d)*(d**(-1\/3))**(-37) assuming d is positive.\nAnswer: d**(-61\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 6*f**3 - 4*f**2 + 11. Let j(b) = 5*b**3 - 3*b**2 + 10. Let q = -3 - 2. Let a(y) = q*j(y) + 4*z(y). Suppose 91 - 91 = -5*u. What is a(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 583 = -593 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 13*l + 16. Let d be (-180)\/(-13) + 66\/429. Let o be -5 + (d - -5 - 3). Determine f(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234 and 87282.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -1089*w**2\/5 - 264*w\/5 - 16\/5 = 0.\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3702817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1366447.99 to the nearest 100.\nAnswer: -1366400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2517837, 5035658, 7553457, 10071222, 12588941, 15106602?\n\"Answer: -2*o**3 + o**2 + 2517832*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 629, 622, 611, 596, 577, 554?\n\"Answer: -2*x**2 - x + 632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*k**3 - 2*k**3 - 10*k**3 + 45*k**3.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, q: 1, w: 3, t: 1, j: 1, h: 4}. What is prob of sequence twe?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -2*c + 50. Suppose -5*f - 1 = 3*n - c, -13 = -4*f + 5*n. Let o = f - 7. Solve o = -4*k + k - 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-65024)\/1016*(-2)\/4\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 2*f - 60 = 0, -4*j = -5*f + 130 + 133 - 371 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 3*i - 56 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 438?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 867592\/15 - 57816. Let y = 24\/5 - m. Find the common denominator of y and (6\/(-4))\/(18\/262).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5205*b + 2418*b + 2735*b.\nAnswer: -52*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 - 820*r**2 - 4812*r - 7164.\nAnswer: -4*(r + 3)**2*(r + 199)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 299592 and 4526?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/((-15)\/(-5))*-2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-78)\/(-4))\/(24\/16). Suppose x + 16 = -f + b, -f - 2*x - 8 = 0. What is w in 0 + 2\/3*w**2 - f*w = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x**2 + 6*x - 6. Let r = 7 - 20. Let l(u) = -9*u**2 + 13*u - 13. Let y = 85451 - 85445. Calculate r*p(f) + y*l(f).\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + 4*g, 6*g - g + 6 - 2 = -2*s - 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 3, i: 4, y: 1, a: 10}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 3 + 1 + 15*q**4 - q - 2*q**4 - 5 in the form w*q**2 + n*q**4 + d*q + k*q**3 + r and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 16311043 and 4.\nAnswer: 16311047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/27 - 48\/(-27). Let a be s + -2 + 1 - -2. Let g = a - -1. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -5*z - 40, 0 = -2*f + z - 2*z - 15. Let k be (-1)\/4 + (-21)\/12. Which is the third biggest value? (a) -6 (b) f (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000312847096 to seven decimal places.\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, -14, 0.6, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 27306\/24 + -13 - (-2)\/8. What is the greatest common divisor of 9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 9*s - 18. Determine w(9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1563.3 + 1563. Let u = 6 + -4. What is the closest to u in d, 1, 4\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 - 6*q + 8. What are the prime factors of w(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143\/944 bigger than 493?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*u**5 - 467*u**4 - 2*u**2 + u - 13011?\nAnswer: 40*u**3 - 5604*u**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 13 + -4 - 17) + -5 + 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2490 is divided by 89.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*2004.4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -336, -1295, -2904, -5199, -8216?\nAnswer: -11991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/12*((-16)\/3)\/(-2). Suppose -k*c + 738 = 4*c. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 z when two letters picked without replacement from {z: 1, a: 1, m: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-10))\/((-27)\/198) + 4.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v**2 - v - 5. Let o(k) = 3*k**2 - k - 3. Let u = 180 + -176. Let w be -11*1 + (10 - u). Give w*r(x) + 8*o(x).\nAnswer: -x**2 - 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of c**3\/6 + c**2 + c. Let u be 5*(7\/20 - (-6)\/24). What is t(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) 13236655 (c) -2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.978 plus 14239?\nAnswer: 14239.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36\/283 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j - 15. Let d be g(-6). Suppose 3 + 19 = 11*t. Suppose 0 = 5*z - z - 20. Solve -t*k + z*k - d = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -267+-2.4\nAnswer: -269.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 223672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15930317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -29385899?\nAnswer: 8\/29385899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/10901 or -211?\nAnswer: 1\/10901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -15*r**3\/2 + r**2 + 4317*r. Let z(p) = -p - 66. Calculate k(z(s)).\nAnswer: 45*s + 2972","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 7*p**3 + 5*p**3 + 2*p - 10*p**2 + 12. Let d be b(-10). Let u(r) = r + 14. What is the units digit of u(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62.5 - 63. Which is the closest to 0? (a) -0.3 (b) k (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -46*i**4 - 166 wrt i?\nAnswer: -184*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -3*l**4\/16 + 31*l**3 + 189*l**2\/2 - 7302. What is u in j(u) = 0?\nAnswer: -2, 0, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*n + 14*n + 792 + 8*n - 792.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 r when two letters picked without replacement from jrnrrrrrranra?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 21*p - 315. Are -23 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -h - 8*f + 23, 3*h = -4*f + 14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h*j*k**2 - 5*h*j*k - 30*h*j + 3*h*k - 2*h + 2*j*k**2 + 2*j wrt k?\nAnswer: -2*h*j*k - 5*h*j + 3*h + 4*j*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/227 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 4*h**2 + 2. Let i = 460 + -456. Let s be m(i). Factor 4\/5*k - 6\/5 + 2\/5*k**s.\nAnswer: 2*(k - 1)*(k + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-168)\/(-30)*10\/(-2). Let c = y + 310\/11. Which is smaller: -0.5 or c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6219*i**5 + 91*i**4 + 32*i**3 - 372579872*i**2 wrt i?\nAnswer: -373140*i**2 + 2184*i + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 1)*(4 - 6 + 0)*(182*a + 201*a - 121*a).\nAnswer: 524*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6b389 (base 15) to base 14.\nAnswer: 8c739","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 54840039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 773740\/67 greater than 11549?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z**3 - 214*z**2 + 21*z + 3552. Calculate f(71).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -419140*r*x**2 - 10*r*x + 4*r + 6*x + 173 wrt x?\nAnswer: -838280*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2041846847 to the nearest integer?\nAnswer: 1269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -1433 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - f - 3. Let c be i(3). Suppose -4*r + 41 = -n - 23, 0 = 5*r + 5*n - 80. Solve 0 = -4*b, -w + 3*b + r = c*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 82 (b) 16 (c) -0.3 (d) -3 (e) -0.1 (f) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 21*x + 20*x - 7 = 0, 3*z + 8 = -2*x for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1532 + 8709. Is 133 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 60001*u**2 + 2*u - 8. Let b be p(-4). What is b rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3)\/((14\/945)\/(-2)) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 7:44 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 68*u**5*v - 124455*u**5 + 3*u**2*v - 37*u**2 - 4*u + 39969*v wrt u?\nAnswer: 4080*u**2*v - 7467300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y**2 + 4*y - 2. Suppose 38*j + 2 = 40*j. Let k be g(j). Solve a = k - 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/20 and -57\/140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*d - 11*d + 8*d)*(3*d - 9*d - 7*d) + d + 0*d - d**2 + d to the form y*d + q*d**2 + j and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1335 - 1335. Which is the closest to h? (a) -1 (b) -17 (c) -5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + (sqrt(72) - (sqrt(72) + 0)*5) + -3)*-4.\nAnswer: 12 + 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 3 + -1)*0. Let w(y) = -y**2 + i - y + y**3 + 0. Let x(j) be the second derivative of j**5\/20 + j**4\/12 + j**3\/6 + 7*j. Determine -w(r) - x(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -2) + (0 - 22). Let w = -32 - b. Let f = -10 - w. Solve -3 = 3*n - f*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -14 + 74. Let d be 2\/2*(-5)\/(k\/(-16)). Let h(i) = -10*i + 4. Let j(v) = -15*v + 6. Determine d*h(a) + 5*j(a).\nAnswer: 5*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.845937 rounded to 1 dp?\nAnswer: -6.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-16)*(3 + -1). Let r = -15 - -12. Which is the closest to -1\/4? (a) 0 (b) g (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1716*f - 1705*f - 1396 + 696 + 699.\nAnswer: 11*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 706*c**2*i*r**3 - 2*c**2*i*r + c*i*r**3 + 86*c*r**2 + 22*i*r wrt c?\nAnswer: 1412*i*r**3 - 4*i*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6444246 rounded to the nearest ten thousand?\nAnswer: 6440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - (-204)\/24)*-2. Sort -2, 0.3, y, -5 in ascending order.\nAnswer: y, -5, -2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17678605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-62)\/(-10) + 1)\/(48\/(-120)) + -10.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.16 + -0.64. Let p = -0.3 - v. What is the third biggest value in p, -0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + sqrt(1584) + sqrt(1584) + (sqrt(1584) + -1)*5 - (4 + sqrt(1584)*2 + -2))**2.\nAnswer: -1320*sqrt(11) + 39721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/83?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5539*-0.1\nAnswer: 553.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25961 + 25725.81. Let o = -234 - n. Let w = -1.29 + o. Sort 0.2, w, -2\/159.\nAnswer: w, -2\/159, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-6))\/((175\/(575\/(-23)))\/90).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 7*j - 1060 = 0, -7*v - 212 = -8*v - j. What is the remainder when 839 is divided by v?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 7*s**2 + 4. Let z(t) = 6*t**2 + 4. Let f(o) = -4*a(o) + 5*z(o). What is the hundreds digit of f(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97995 (base 12) to base 6.\nAnswer: 4142305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 b when two letters picked without replacement from hqbbhhhq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4176253, 4176231, 4176175, 4176067, 4175889?\nAnswer: 4175623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -5*d**3 - 8*d**2 + d. Let z(c) = 2*c**3 - c. Let o(n) = -2*f(n) - 10*z(n). Factor o(g).\nAnswer: -2*g*(g - 2)*(5*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/27)\/j**(5\/3))\/(j**(8\/5)\/j**(-1\/3)) assuming j is positive.\nAnswer: j**(-491\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*4 - (1 - 3). Suppose -32 = -4*c + 3*k, 0 = -2*c + 2*k - 7*k - a. What is the least common multiple of c and (-5)\/(-30) - (-106)\/12?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*v = -7*v + 23, 2*f = -v + 19. Solve 25 = -3*b + f*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (110\/15 + -6)\/(2\/(-3)). What is the smallest common multiple of (0 - 2\/w - 1) + 9 and (-4)\/10 - 32\/(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154, 157, 158, 157, 154, 149?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 165383, 330746, 496109?\n\"Answer: 165363*o + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9549343 by -10.\nAnswer: 9549343\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3\/5 + 282*r**2\/5 - 2572*r\/5 - 6288\/5 = 0. Calculate r.\nAnswer: -2, 12, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 1 - 11 = -2*c, -6 = 2*c + 4*h. Suppose -z + 108 = 3*u + u, u = -c*z + 269. Calculate the remainder when 258 is divided by z.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27209797 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 92*h**2 + 3*h + 0*h - 108*h**2 + (2 + 3 - 3)*(4 - h**2 - 4) + (24 - 25 + 32)*(2*h**2 - 3*h**2 - h**2).\nAnswer: -80*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/3? (a) 1 (b) 11 (c) -4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20636.\nAnswer: 2, 7, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3\/53 (b) -8 (c) -1\/5 (d) -0.3 (e) -4 (f) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5637 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 y in -y**4\/4 + 5293*y**3\/4 - 18505*y**2\/2 + 10568*y + 21144 = 0?\nAnswer: -1, 4, 5286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of 5*u**6\/4 + 5*u**5\/6 - 149*u**2. Find the third derivative of y(j) wrt j.\nAnswer: 900","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 828723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-4)\/(-10))\/(53\/(-530)))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -3*k + 7, -5*t - k - k + 1 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 253*x - 128*x - 124*x as n*x + d and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -258, -424, -586, -744, -898, -1048?\n\"Answer: 2*c**2 - 172*c - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.7 + -0.3. Let y = 1 + -3. Let g = 0.69 - 0.39. Put c, y, g in descending order.\nAnswer: g, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1738.8 - 822.6. Let i = 1003 - y. What is i rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-10))\/(11\/660). Calculate the remainder when 2\/(-12) - (-1420)\/p is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1210731 * -0.1.\nAnswer: 121073.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cbbb when four letters picked without replacement from {b: 7, c: 6}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -724178 or -9414306\/13?\nAnswer: -9414306\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39893456?\nAnswer: 2, 2493341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-7)\/(-4))\/7)\/1. Which is the nearest to 0.1? (a) -4 (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 196 - 156.7. Round d to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1))\/(120\/1020) - 21\/14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*m + 62 = 84*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**3 - j**2 - j + 2. Determine c(-3).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 367*m + 173915. What is x(639)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -28, -473, 5, 0 in decreasing order.\nAnswer: 5, 3, 1, 0, -28, -473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*n**2 - 55663*n - 97*n**2 + 55663*n + 196*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 7. Let k be f(11). Let r(w) = 12 - 6 - 4 + w. Determine r(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4355 (b) -827 (c) 10 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 2 = 28. Let b = 152 - 216. Let m be -4*(-4)\/b*t. What is the smallest value in m, -3\/5, 1\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011110 (base 2) in base 4?\nAnswer: -3132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 8416470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxvxxxxxdxvxxxv. What is prob of picking 2 x?\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 23601*g**2 - g + 1. Is x(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*g = -39*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*s + 0 = 5, 3*s + 3 = 5*q. Suppose 8*k - q*k = -2045. Let b = 791 + k. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -7. Suppose 0 = 5*r - 25 + q. Let o be (-41)\/(-8) + 6\/(-48). Which is smaller: r or o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*-6*2\/(-36). Suppose i = -f + 5*d + 15, 12 = -2*f - 5*d + d. Solve -3*q + f - 3 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or -3919064?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11334614 and 20910.\nAnswer: 1394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6905126909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r + 78 - 78 - 2*r - 3 + 3 + (3 - 3 + 2*r)*(0 - 4 + 2) + (-r - 3*r + 3*r)*(-2 - 2 + 2 + 5 - 1 - 5 + (0 - 5 + 4)*(2 - 2 + 2)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 271\/25356?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 251997 < -3\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s - 4 + 4 - 15*s.\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + 4)\/(-5) + 2. Suppose -5*u - 3 = 3*r, 3*u + k = 3*r - 19. Calculate the highest common divisor of 4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 14 = 3*t. Find the second derivative of -2*q + 3*q**4 - q**4 + 0*q**t + q wrt q.\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 148 = 4. Let d = 118 + w. Calculate the greatest common factor of 22 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r**3 - 5*r**2 + 3*r. Is k(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 3*g - 6 - 3, 0 = 4*g - 12. Let l(v) = 2*v**2 + v - 1. Let k be l(-2). Solve 0 = i - x*i - k for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 22, -11, -1, -9 in increasing order.\nAnswer: -11, -9, -1, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + (sqrt(180)*-1 - sqrt(180)))**2 + 2 + 0 + sqrt(180) + 2.\nAnswer: 6*sqrt(5) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1243 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 e when two letters picked without replacement from {t: 1, n: 3, e: 1, z: 3, c: 1, y: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/75 - 38916\/(-20) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 3261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l - 4*i - 2206501 = 0, 0 = -3*l + i + 476895 - 87511. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - j. Let g(r) be the first derivative of -r**3 - r**2 + r + 33. Suppose 4*o + 3 + 1 = 0. Let m(b) = o*g(b) + 4*d(b). Determine m(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 7*o. Let k be w(-8). Let x = 2 + -8. Let v = x - k. Solve -3*y = -v*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165 - 303 = 315*p - 237*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4177422 and 4374?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 43407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 2*g + 22. Let x = 35 - 40. Calculate w(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 9:04 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.5, -4 in decreasing order.\nAnswer: 0.5, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p + 5*p = -468. Suppose -p = -16*q + 9. Solve u - q*u = 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 + -35. Let c(p) = -3*p**3 - 22 - 11*p**2 + 23*p + f*p**3 - 36*p. What is the remainder when c(-10) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 94 - 92. Suppose t*x - 19 - 77 = 0. Round x to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 0.4, 0, -1\/3, 0.69, -417?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -252 (base 7) to base 8\nAnswer: -207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 6. Solve 5*h + 9 = 3*q + 29, 0 = 4*h - o*q - 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 124 * 10784.\nAnswer: 1337216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1522*v**2 - 1120*v**2 + 532*v**2 to the form f + l*v**2 + q*v and give l.\nAnswer: -2110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 + 0)*(-5*m**5 - 18*m**2 - 2177*m + 2177*m).\nAnswer: -25*m**5 - 90*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 2 (c) -16 (d) -5 (e) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 27 (c) -2\/11 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 - 54. Let y(b) = b + 9. Let j be y(-5). Let k be j\/o + (-20)\/(-9). Solve -3*g + h - 8 = 0, -2*g + 5*g + k*h = -20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 298517 and 598.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -214, -157, 92, 635, 1574?\n\"Answer: 17*y**3 - 6*y**2 - 44*y - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -153.43 + 284.43. Which is the closest to 0? (a) -4 (b) 0 (c) j (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + l + 63, 3*p + 2*p = -3*l + 152. Let u = 36 - p. Solve 4*j - 7 = -u*q, 2*j - 11 = 3*q - 8*q for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.498789 from -3.2.\nAnswer: -0.701211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -2555, -2, 3, 84, 4 in increasing order.\nAnswer: -2555, -2, -1, 2, 3, 4, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n**3\/5 + 132*n**2\/5 + 116*n + 160 = 0. Calculate n.\nAnswer: -8, -10\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1377 - -1381. Which is the closest to -77? (a) 0.4 (b) 5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -6\/181, 125, -0.22?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51075674 to the power of 1\/2, to the nearest integer?\nAnswer: 7147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (48\/64)\/((-2)\/392). Suppose -l = 19*h - 22*h. What is the least common multiple of h and 30?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/13 - 5082\/(-78) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/15*(-9)\/(-6)*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/6*6\/(-15)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1895 divided by -5\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1334 (base 6) to base 3.\nAnswer: -110211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.079 + 4.979. Let i = r - 6.9. Let z = 789\/490 + -1\/98. Which is greater: i or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 2*r + 3. Suppose 2*w = 8, -3*w = t + t - 16. Calculate j(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -2 (c) 17804\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -90.9356 and -2.\nAnswer: 181.8712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1. Suppose -3*c + 11 + 1 = q. Let a be ((-21)\/(-6))\/(273\/234). Solve y + a*p = 8, c = 4*y - 0*p + 5*p for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5*a = -2, 11 + 5 = -5*g + 3*a. Let q be (-1)\/(6 - (2 + g)). Let u = -0.9 - -8.9. What is the closest to u in q, 3\/5, 1\/9?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 857 is divided by 135.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 402 and 460022?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*f + 2 = 3*y + 28*f, 2*f - 6 = -4*y. Solve y*u = m + 2, 2*u - 6 = 2*m - 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 608 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 125 - 5 = 0. Let v(g) = 3*g**2 + 4*g + 18. Let w be v(-4). Let f = w + y. Calculate the smallest common multiple of 3 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/(-50))\/(22\/55))\/(6435\/198 - 34).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2 + 4*x + 15. Let n be j(-3). Sort -5, n, -4 in decreasing order.\nAnswer: -4, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 287 - 284. Solve 0 = -2*w - m*w + 4*j + 32, 5*w + 2*j = 14 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*s + 7*s - 10*s)*(2 - 1 + 0) as x*s + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**5 - 23360*f**4 + 26740785*f**3 + 1272751270*f**2 + 8458619120*f = 0 for f.\nAnswer: -38, -8, 0, 2359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/10 in -11\/67, -5, 47, -2\/7, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 153953840 a multiple of 6238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2.306025 or -0.05?\nAnswer: 2.306025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -193054 - -331233. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -2\/27 (c) 0.01 (d) 5 (e) 3 (f) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1317 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -32*w**3 + 540*w**2 - 48*w + 14. Let l(p) = 7*p**3 - 108*p**2 + 10*p - 3. Give -3*g(m) - 14*l(m).\nAnswer: -2*m**3 - 108*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10, 44, 76, 106, 134, 160, 184?\n\"Answer: -r**2 + 37*r - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 204\/33 + (-4)\/22. Suppose 3*a = -0*a + f. Solve 0 = h - 0*h + a for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5032, 20132, 45298, 80530, 125828?\n\"Answer: 5033*u**2 + u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5009*c*q**2*s**3 + 507*c*q*s - 6*c*q - c - q**2*s**3 - q**2*s**2 + q**2 wrt s.\nAnswer: 30054*c*q**2 - 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 17033135.24 to the nearest ten thousand.\nAnswer: 17030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8 + 0.84. Let h = 2.04 - r. Let n be 6\/(-4) - (-51)\/68. Which is the nearest to h? (a) 0 (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2751768545?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, -13, -64, -147, -268, -433, -648, -919?\nAnswer: -1252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -6422*14\/(-28) + -11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63 - -67. Suppose -46 = -6*u - t. Solve 2*l - u*l + 15 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 4899?\nAnswer: 44091","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 140521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 14 = -5*m, 4*t - 7*t = 2*m - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -41 - 21 + 52 + 15*m + 5*m + m - 4*m + m + 0*m + 0*m + (-2 + 5 - 1)*(-m + 1 - 1) - m - m + m - 4 + 4 - 2*m.\nAnswer: 13*m - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451479?\nAnswer: 3, 7, 21499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -543 (base 7) in base 4?\nAnswer: -10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 - (3\/5 - (-675)\/125). Let q = 0.3 - 0.3. Let n = -0.5 - q. What is the closest to -2\/3 in -3, n, r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -1. Suppose -t*i + 0*i = -15900. What is i rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 - 395*z - 810.\nAnswer: 5*(z - 81)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91758 + v + 183532 - 91774.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 8*k. Let n(d) = -d**2 + 2. Let p = -16 - -23. Let q(m) = -4*m**2 + 7. Let y(s) = p*n(s) - 2*q(s). What is y(z(b))?\nAnswer: 64*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38.835 - 38.83472537. Round i to 6 decimal places.\nAnswer: 0.000275","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001100001 - -10?\nAnswer: 10001100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1876 (b) -5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 greater than 1428920?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2700843 - 2701078.9702. Let z = -419 - -655. Let v = z + h. What is v rounded to three decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 924 + 58519045.\nAnswer: 58519969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1330 - 1329.999911592. Round d to six decimal places.\nAnswer: 0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 13*b**2 + 31*b - 3. Give q(15).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47548 and 82?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 7 - 13 = 0. Suppose 49 = k*g - w, -g + 4*w = 3*g - 52. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**2 - 336*l + 19404 = 0. What is l?\nAnswer: -154, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 4*b + 10, -b + 5*b = -5*h - 22. Let n(j) = 4*j**3 + j**2 - j + 2. Determine n(h).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and -4.6425.\nAnswer: -27.855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3977293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 7*s + 27 = -g, -6 = -2*g for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (-11 + -1 - -1). Suppose -7*l + b = -5. What is the hundreds digit of l\/14 + 4488\/42?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 25, c = -4*r + 3*c + 14. Calculate the remainder when 9 is divided by 7 - 3 - r\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 6) + 1 - -1. Let k = -57 - -48. Let i be 15\/(-1)*(k - -7)\/6. Sort m, 3, 0, i in descending order.\nAnswer: i, 3, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 8*t**2 - 3. Let l(k) = 7*k**2 - 2. Let a = -33 + 93. Suppose -6*h = 4*h - a. Determine h*l(j) - 5*g(j).\nAnswer: 2*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 q, and 1 z when three letters picked without replacement from mzmmmzmzmzmzmmmzmqz.\nAnswer: 77\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**20*x)**30\/(x\/(x\/(x**(-1\/28)*x))*x*x**31))**(-4\/3) assuming x is positive.\nAnswer: x**(-16717\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 244 - 722 + 237 + 11*w + 254. Calculate b(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20750166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o - 9. Let b = 17 - 23. Let x be f(b). Suppose -4*w - x*i = w - 28, 0 = 4*w + 5*i - 25. Sort -2, 4, w in ascending order.\nAnswer: -2, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29876700 divided by -71135.\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and -50220515827.2?\nAnswer: 50220515827.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -92*d + 24. Give c(2).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**3 + x**3 - x**3)*(-4*x + 4*x - 3*x)*(-3 + 3 + 1)*(11*x + 4334 - 4334).\nAnswer: -99*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15017 is divided by 15014?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2461?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-1)\/(-1))\/(-3))\/(10\/(-26610)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -8*p - 23. Suppose 2*l + 3*l = -2*u - 10, -20 = 5*l. Suppose -3*x - 5 - 20 = -u*b, 2*x = 3*b - 16. Put b, p, -3 in descending order.\nAnswer: b, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 473*y**6\/6 - 3*y**5\/5 + 3964*y**3\/3 - 18. What is the third derivative of u(c) wrt c?\nAnswer: 28380*c**2 - 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*a - 1)*(a**3 - 18*a**2 + 18*a**2) + (-6*a + a + 4*a)*(-2*a**3 + 1 - 1).\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 2*b - 7, 4*x = -0*b + 2*b + 78. What is the remainder when x is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*sqrt(1377)*-3*4.\nAnswer: -648*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 711684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**3 + l**2 + 2*l - 1. Let i be v(2). Suppose -25 = -a - i. Let q = a - -18. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s - 2 + 0 + 2.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 763149 to the power of 1\/2, to the nearest integer?\nAnswer: 874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and 0.138.\nAnswer: -0.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1372 - -1371. Let m = -409\/4 + 103. What is the closest to k in -1, m, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 27\/2 of a kilogram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -104.421 less than 0.11?\nAnswer: 104.531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2991022 is divided by 149.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*r - 1, 5*r + 49 = 2*a. What is the remainder when a is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 + 65*y + 121. Let q be c(-2). Let i = 3 + -1. Is q at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 1447, -11 in descending order.\nAnswer: 1447, -0.5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -b**5\/20 - b**4\/3 - b**3\/3 + b**2 - 5*b. What is the units digit of c(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*h**3*n**4 - 11*h**3*n**2 - 5*h**2*n**2 + 6*n**4 wrt n.\nAnswer: 504*h**3*n + 144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1 - -40) + -4 - (5 - 4)) + -13.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 484 and 1.2845.\nAnswer: 485.2845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -973.0001678 - -973. Round y to 5 decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of m**6 + m**3 + 9. What is the third derivative of d(u) wrt u?\nAnswer: 360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 8294?\nAnswer: 8294.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 169, 151, 131, 109, 85?\n\"Answer: -j**2 - 15*j + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*o - 10. Let u(k) = -k**3 + 7*k**2 - 8. Let i be u(o). Solve 4 = -4*s + 5*v, 4*v = i - 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.0234 or -5?\nAnswer: 0.0234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -19, 19 in ascending order.\nAnswer: -19, 3, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132316109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1955 + 1974. What is the remainder when 255 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 - 19. Let t(b) = 9 + q + 2*b + 6*b - 1. What is the tens digit of t(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 51 + 1985*m**2 + 10 - 115 + 50 in the form w*m + h + v*m**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(112) - (sqrt(28) + sqrt(336)\/(sqrt(24)\/sqrt(2)))) + (sqrt(70)\/sqrt(2)*-5)\/(1*sqrt(5)*-1).\nAnswer: -3 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7706 - 6?\nAnswer: 7700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -306 + 202. Let q = w + 101.15. Let o = -0.15 + q. Which is the second smallest value? (a) -0.02 (b) o (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 40.6 and -1515.94.\nAnswer: -61547.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/4 - 12\/8. Let j(b) = b - 3 - 2 + 1. Determine j(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 454*c**2 - 454*c**2 + 8*c**3.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 29\/5 of a centimeter?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 + 40?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -7. Calculate the lowest common multiple of (-6 - -3)\/((-4 - -5)*-1) and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/5 - 4\/(-3 + 1). Let j(g) be the third derivative of 0 + 1\/3*g**d + 1\/6*g**4 + 4*g**2 + 1\/30*g**5 + 0*g. Factor j(a).\nAnswer: 2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/531)\/(17\/(-306))?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(2835) - sqrt(2835)) + sqrt(35) - (-2*sqrt(140) + sqrt(140))\/sqrt(4))\/((-1*sqrt(2880))\/(1*sqrt(9)*-2)).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(704)*1 - (-2 + (sqrt(704) + 1)**2)) + (-5*(sqrt(704) + -3*(sqrt(704) + 0) + (sqrt(704) - 1*(sqrt(704) + 0))))**2)*-3.\nAnswer: -209076 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -213*q + 67. Give h(-4).\nAnswer: 919","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 555461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2788551 + 223301. Round w to the nearest 10000.\nAnswer: -2570000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 80*o + 2007. Let u be v(-25). Solve -14*d - u*d = 11*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16554*a + 16554*a - 591352*a**2 + 591350*a**2 - 56*a**3.\nAnswer: -56*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 6425*n**2 - 28*n - 10. Is q(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 141510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -232?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 86*r + 1474. Let s be c(-23). Are s and 134 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111775046.\nAnswer: 2, 79, 707437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*q - 16*q - 23. Let k(o) = 956*o**2 + 3*o - 4. What is the units digit of k(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 39 + 28 = 0. Let j = w + -6. What is the third derivative of -3 + j*k**4 + 7*k**4 + 4*k**2 + 3 wrt k?\nAnswer: 288*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73647166 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**6\/120 - 2*p**5\/15 + p**4\/3 - p**3\/2 + 3*p**2. List the prime factors of r(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 160 = 3*s. Find the second derivative of -4*w - w**3 - s*w**2 + 3*w**3 + 32*w**2 wrt w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5, 47, 123, 233, 377, 555, 767?\n\"Answer: 17*p**2 - 9*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i + 17 - i + 5*i**2 - 27 + 14. Calculate the lowest common multiple of 20 and z(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*p + 220 - 58 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, g: 1, m: 1}. What is prob of sequence mjj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1151*d**2 + 1155*d**2 + 10 + 4 + 2*d)*(2 - 5 - 2) in the form n*d + v + p*d**2 and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than 927709994?\nAnswer: 927709994.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18777 - -18745.851. Let f = -0.149 - q. Sort f, -5, -0.4 in decreasing order.\nAnswer: f, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3974 - -203. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2 - 7424*z - 22290 = 0. What is z?\nAnswer: -3, 3715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 7:27 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.19067 - 41.78033. Let v = 0.029 - b. Let h = -42.002 + v. Round h to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 17*a**2 + 17*a - 9. Is u(-4) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1\/z)**(25\/6) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -269\/6 + 45. Let s = c + -1\/3. Let k = -0.944 + 3.944. What is the smallest value in k, 1\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 4. Let m(b) be the second derivative of b**4\/12 + b**2\/2 + 2*b - 11581. Let a be -4 - ((-1)\/(-1) + -1). Determine a*m(k) - f(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 165465 to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -16 (c) -1 (d) 0.01604 (e) 0.5 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1056 divided by 352?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 8*o - 9 = 0. Let x be (8 - 2 - 1) + o. Let t(q) = 6*q**2 - 2*q. Is 5 a factor of t(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12.4? (a) 1\/13 (b) 3\/8 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**4\/8 + 29*y**2 - 3*y. Let g(k) = 196*k. Let p(f) = 13*f. Let c(q) = -6*g(q) + 91*p(q). Determine c(h(x)).\nAnswer: -21*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p + 3. Let w be (0 + 2)\/((-3)\/6). Let u be r(w). Let g = 0.2 + 0. Sort -1\/2, g, u in increasing order.\nAnswer: u, -1\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (7\/(-3) + (-14)\/21). Let w(y) be the second derivative of 1\/2*y**3 - y + 0 - 3\/20*y**5 + 0*y**p + 0*y**2. Find the second derivative of w(c) wrt c.\nAnswer: -18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32233446 to the nearest 1000000.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/10 + (-6)\/(-15). Suppose y = -3*w + 20, 2*y - l = 3. Suppose -w*u = -804 - 30. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -274a856 (base 12) to base 3.\nAnswer: -112201001111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 u when two letters picked without replacement from uuuuuufuuuuuu?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.3 (b) 2 (c) 2\/9 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**5 + 10485*a**4 - 20985*a**3 + 10495*a**2 = 0. What is a?\nAnswer: -2099, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76 and 8.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30126 - 30117. Solve j = -6*h + 4*h + 3, j + 5*h = v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 614572872?\nAnswer: 2, 3, 29, 179, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75082*l**2 - 28*l + 516 wrt l?\nAnswer: -150164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 - 10176*y - 10178.\nAnswer: 2*(y - 5089)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -1111001212222?\nAnswer: -1111001212211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 11. Suppose 5*x + 1 - 11 = 3*i, 0 = f*x - 2*i - 4. Suppose 0 = -l - 2*g + 6*g + 16, x*l + g + 4 = 0. Solve 3*m = -l*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 458 = -5*r + 4*g - 6779, -3*g = 5*r + 7251. Let z = r - -2366. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1034 - -32?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -810744 = -22*a - 181522. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8 (b) -15\/7 (c) -6 (d) 0.27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31363955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 19 = -4*m, p - 4*m + 3 = -2*m. Sort p, -2, 1, 32, -4 in descending order.\nAnswer: 32, 1, -2, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/2)*j**7\/j)\/((j**0*j*j)\/j*j**4) assuming j is positive.\nAnswer: j**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000053032 rounded to 7 dps?\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 334557084 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: Let d(f) = 16*f + 9. Suppose -15*w + 23*w = 88. Let l(o) = -8*o - 4. Let i(c) = w*l(c) + 6*d(c). Differentiate i(t) with respect to t.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11920559 less than -1.9?\nAnswer: 11920557.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-1*5*(5 + sqrt(243)*5 + sqrt(243))**2*-3.\nAnswer: -394785 - 24300*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -8*j**2 + 2*j + 2 - 3*j - 3 + 7*j**2. Let q(y) be the first derivative of -4*y**3\/3 - y**2 - y - 1. Give -q(o) + s(o).\nAnswer: 3*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1680.271t in grams?\nAnswer: 1680271000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/((165\/154)\/15).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -34427*v - 332. Is h(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 16 = 4*c, b = -4*b + 3*c - 23. Does 3 divide (-29)\/b - 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 80 = -2*q. Let g = 29 - q. What is the remainder when 12 is divided by 2\/7 - 26\/g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -172 by -44918.\nAnswer: 86\/22459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 - 1572981*b\/2 - 786489\/2.\nAnswer: -3*(b + 262163)*(2*b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48153?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 75 and 44150?\nAnswer: 132450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 2*x = 141 - 120, 3*x + 4 = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 466*v**2 + 4*v**3 - 2*v - 604*v**2 - 8*v**3 to the form s + u*v**2 + k*v + j*v**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 5 (b) -12\/13 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.04593*-63098\nAnswer: 2898.09114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*c = 932*c - 35802 for c.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2562 and 36?\nAnswer: 15372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) 3 (c) 0 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13\/((-351)\/45) - 11\/(-3). Factor 1\/3*d**b - 2\/3*d + 1\/3.\nAnswer: (d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: aa (base 15) to base 4\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000132592 to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3494?\nAnswer: 2, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24053?\nAnswer: 67, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/(-6)*(5 + 301\/(-14)). Suppose -5*m - b = -15, m + 2*b + 0 = -6. Suppose -m = 2*q - a. What is the greatest common divisor of 30 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**5\/30 + 64*z**2 - 2*z. Let w(x) be the second derivative of x**4 - x. What is g(w(t))?\nAnswer: 288*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-2 + 3) - (-2 + -64 - -1). What is the greatest common divisor of 77 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19122, 19129, 19148, 19185, 19246, 19337, 19464?\nAnswer: 19633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3913.50082 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2\/3 - 2916656*y - 3499988\/3.\nAnswer: (y - 1749994)*(5*y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 - ((-9 - -1 - -2) + (2219 - 2231))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1723330 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 704901 divided by -210?\nAnswer: -234967\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*b - 6*b + 3*b + (-2 + 3 - 2)*(3*b - 1 + 1))*(-4*b**3 + 15*b**3 - 15*b**3) as z*b**2 + s*b**3 + p + a*b + u*b**4 and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2 + (sqrt(7) + -4 + sqrt(7) - sqrt(7)) + -2 - ((sqrt(112)\/sqrt(2))\/sqrt(2))\/(sqrt(44)\/(sqrt(11) - sqrt(275))).\nAnswer: -9 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 194\/18375 - -4\/735. Suppose 243 = -6*g + 267. Put 5, g, x in decreasing order.\nAnswer: 5, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/(-260) + (-1712)\/(-104).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50035 (base 6) to base 15.\nAnswer: 1dd8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 841, 1671, 2487, 3283, 4053, 4791, 5491, 6147?\nAnswer: 6753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 758 + -450. Suppose 6*c = 64 + b. Suppose 0 = 3*h - 5*h + c. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51*t**4 - 18*t**3 + 4*t**2 - 15*t?\nAnswer: 1224*t - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 161 + 4\/3*w**3 - 50*w**2 + 96*w. Factor u(i).\nAnswer: 4*(i - 24)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v - 7*v - 5 + 3 + 11*v - 6. Let n(q) = -q**3 - q + 7. Let u be n(0). Calculate b(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2.6090865 months in millennia?\nAnswer: 0.000217423875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 2*j**2 + 5*j - 9. Let w be n(-4). Suppose 1783 = w*c - 3*s + 211, -2*s + 530 = c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175906694 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(1\/(0 - -1)). Let m be 25\/30 + i\/(-6). Sort -3, -0.5, m.\nAnswer: -3, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 37 - 28 + 49 + 30)*(31*x + 93*x + 21*x).\nAnswer: 13920*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -246 - -409. Let y = 7939 + -7776. Is y < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/5 + (-32)\/(-160).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m - 103 - 100. Which is the biggest value? (a) m (b) 4 (c) -3 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5 + 22*q - 25*q)*(-2*q + 6*q - 2*q) - 5*q**2 + 3*q**2 + 4*q**2.\nAnswer: -4*q**2 + 16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/((-67)\/(-938)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 16 = -4*p, 0 = -8*p - 6*s + s + 56. Sort -5, -101, p, 4.\nAnswer: -101, -5, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2 = -2*t, -2*w + 4*t = -2. Suppose -2*n = -w*m + 4, 2*n - 16 = -6*m + m. Let y(v) = -n*v + 2*v - 3 - 5. Determine y(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - f**2 - 3*f)*(0*f + 2*f + 0*f) - 8*f**3 + 6*f**3 - 10*f**3 - 6*f**3 + 3*f**3 + 2*f**3 + (6*f**2 + 2*f**2 - 5*f**2)*(2*f - f - 4*f).\nAnswer: -24*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-14)*216\/486?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26584 + 26603. Sort -2\/15, f, 8, 1 in increasing order.\nAnswer: -2\/15, 1, 8, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*3\/93*(20 + (-36)\/2).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -r - 30, -5*f - 2 = 23. Let l be (r - -4)\/(-1) - 4. Factor 2 - 13*v**2 - 2*v**3 - 12*v**2 + 23*v**2 + l*v.\nAnswer: -2*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -6*h**2 - h - 1. Let d(y) = 4 + 11*y - 13*y**2 - 13*y - 10 + 3. What is -2*d(t) + 5*n(t)?\nAnswer: -4*t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -120 - -123.18. Let a = c - 0.18. Let w = -2.99999985 + a. Round w to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 308 = 2*v. Suppose -p + 2*o = -v, 9*o + 43 = p + 4*o. What is the highest common factor of p and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 1.5 (c) 3 (d) -4\/271\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 4 - -2 - (4 + 31 + -38) - 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j - 10. Suppose 3*t - 22 = b, -b + 1 = -4*b - 4*t. What is the remainder when 5 is divided by h(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -0.046.\nAnswer: 0.0092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4.47 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3, -8, 0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52 + 140. Suppose -4*w - k = 112. What is the units digit of 2\/(-4) - 11675\/w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 9*f + 26. Let v be h(-5). Let g(j) = 2*j**2 + 36*j - 36. Let i be g(v). Calculate the highest common divisor of i and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 784437619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/(1\/(-5) + 68\/40). Let p(k) be the third derivative of k**5\/60 - 5*k**4\/24 + k**3\/2 + k**2. What is p(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 3\/4 (b) -0.1 (c) -225\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 19 = -4. Suppose 1 = w - 4. Sort z, 1, w.\nAnswer: z, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -50 and -0.4.\nAnswer: -50.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7, -120, -339, -664, -1095, -1632, -2275?\n\"Answer: -53*s**2 + 46*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 231948369?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 58 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 41199, 82393, 123587, 164781, 205975, 247169?\n\"Answer: 41194*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 6*u**2 + 8*u + 17. Let l be m(7). Let q = -27 - l. Let o = -36 - q. Solve 0*z + 3*z = o for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2)*(4 - 4 + u) - u + 4*u - u + (-1 - 1 + 1)*(2*u + 3*u - 7*u) - 2 + u + 2 + 4*u - 3*u + 0*u.\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 536.7019ug in nanograms?\nAnswer: 536701.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, 2, 15, 5, 11382.\nAnswer: -7, -2, 2, 5, 15, 11382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5*d = 1230, 0 = -4*w + 3*d + 722 + 263. Is 40 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 650, 1297, 1944?\n\"Answer: 647*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**5\/2 - 5*n**4\/2 + 17*n**3\/2 + 121*n**2\/2 + 100*n + 50 = 0.\nAnswer: -5, -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178258, -355036, -531814?\nAnswer: -708592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36249, 72495, 108741, 144987, 181233?\nAnswer: 217479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**3\/7 + 10*u**2\/7 + 8*u\/7 = 0. What is u?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, g: 4, e: 2, t: 4, k: 1, h: 2}. What is prob of sequence tg?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*v + 1 - 33, -5*v + 5 = 0. Let k(b) = -4*b + 9. Let s(l) = -11*l + 27. Let x(r) = -8*k(r) + 3*s(r). Let q be x(w). Is q at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 41*m**2 + 2*m + 60. Let x be j(6). Calculate the greatest common factor of 172 and x.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) 0.04 (c) 3 (d) -0.032 (e) -173\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21884?\nAnswer: 2, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.8, -1.4, 1, 4, -1\/4 in descending order.\nAnswer: 4, 3.8, 1, -1\/4, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -2 (b) -2\/3 (c) -0.08 (d) 2\/63 (e) 20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 1. Suppose 4*g - n = -14. Let h(r) = r**2 + 4*r + 4. Determine h(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 4*c + 35, 2*i - 10 = 4*c + 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2244 and 2222121?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000968502 rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 22. Let f(p) = -p**2 - 23*p + 54. Let l(d) = -10*d - 95. Let m be l(-7). Let r be f(m). Sort r, -16, 2, u in ascending order.\nAnswer: -16, u, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f = -153 - 15. Differentiate -33*v**3 + 104*v**3 + 51 - f with respect to v.\nAnswer: 213*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2450 = 3*k - 5*h - 1075, -4*h = 12. Suppose 31*m + k = 20607. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2884.\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/4 + (-125)\/(-10). Which is smaller: j or 13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31 - 27 + 185*r**3 + 39 as o + a*r + h*r**2 + x*r**3 and give o.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 639682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5371000 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.4919704s to days.\nAnswer: 0.00002884225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 389 minutes before 10:04 PM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g. Let s(y) be the second derivative of y**3 + y**2 - 28*y. Determine u(s(l)).\nAnswer: -6*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011111100001100111 - -110111?\nAnswer: 110011111100010011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 - 72. Let b be d(0). Let z = b + 76. What is the lowest common multiple of z and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 188?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111001000011001001 + 1001011?\nAnswer: -10111001000001111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 + 8*k + 10. Suppose 4*p = d - 6*d - 47, 2*d + 20 = -2*p. What are the prime factors of j(d)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 16*n - 45 = 11*n, 0 = -r - 2*n + 4. What is the remainder when 94 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x. Let p(q) = -q. Let m(f) = -7*f. Let n(l) = m(l) - 4*p(l). Let h(t) = t. Let c(r) = 9*h(r) + 2*n(r). Give c(k(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*p**3 + 197*p**3 - 351*p**3.\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 11:33 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 8 - 2 + b - 10. Let d be r(14). What is the highest common factor of d and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -1. Suppose 2*x + 0 - 2 = -n, 2 = n - x. Let j(s) = -4 - 5*s**n + 4 - 4. Let l = -81312 - -81316. Determine l*a(o) - j(o).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by (-68)\/6*21\/(-14)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -9*r**2\/2 + 5*r + 2. Let o(w) = 75*w + 8. Let h(d) = 22*d + 2. Let t(k) = 7*h(k) - 2*o(k). What is 3*b(f) + 7*t(f)?\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-10)\/4) - 434\/560.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*k**2 + 3*k**2 + 3*k**2 + (-5*k + 6 - 6)*(-k + 7*k - 2*k))*(5*k - 5*k - 5*k) to i + s*k**3 + w*k + f*k**2 and give s.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, b: 1, a: 1, g: 2, v: 2, o: 1}. What is prob of picking 1 v, 1 o, and 1 w?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y + 4. Let v be z(11). Is v*2\/(-1 - -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -13*h + 25. Let d(c) = 3*c - 42. Let x be d(10). Put 0, x, h in decreasing order.\nAnswer: 0, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + sqrt(32))*-1.\nAnswer: -16*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -362. What are the prime factors of p?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.05, -6\/7, 9, -2\/7, -0.28 in descending order.\nAnswer: 9, 0.05, 0, -0.28, -2\/7, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 + 83 = 4*f. Let q be 1*(-3 - 500\/(-165))*f. Sort q, -3, -3\/4, -2\/7 in decreasing order.\nAnswer: q, -2\/7, -3\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 728\/14083?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21342 (base 7) to base 11.\nAnswer: -3aa9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8\/25, 2\/17, 0.05?\nAnswer: 8\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.127 - -24.97296\nAnswer: 24.84596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3308345674?\nAnswer: 2, 151, 10954787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -3\/2 (b) 3 (c) -0.056023 (d) 0.4 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 380\/21 + -101\/7. Is x <= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 - 1510136*k + 1510132.\nAnswer: 4*(k - 377533)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/6))**(3\/10))**19 assuming c is positive.\nAnswer: c**(-19\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -n + 14, 4*n - 17 = w + 4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -19, 0.3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1280 by 640.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -213313 (base 4) to base 16\nAnswer: -9f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*i + 589*i + 19*i = -453*i - 493*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 14) to base 3\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/5 - -2) + -2. Let x = 200 - 200. What is the smallest value in 3, m, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 13\/4 of a meter?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 521824787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*o - 8 = 7, 4*h + 2*o = 6. Suppose h*s = -2*s + 10. Solve z - s*g = 5, z + 4 = 4*z - 4*g for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - 528. Is -538 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2270152 to the power of 1\/2, to the nearest integer?\nAnswer: 1507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9502861 is divided by 3332?\nAnswer: 3329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5*n - 64. Let w be x(10). What is the common denominator of 245\/(-450) + w\/63 and 77\/54?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4306 - -4304.37. Round u to 1 decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75456?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 + 13*k**2 + 53 + 14*k**2 - 98.\nAnswer: 27*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 90*t + 10. Let s(o) = o + 1. What is 10*s(b) - w(b)?\nAnswer: -80*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002700907 rounded to seven dps?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -998, -7932, -26740, -63356, -123714, -213748?\n\"Answer: -989*y**3 - 3*y**2 - 2*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1586867 is divided by 89?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*o - 0*o - 22, 2*p - 7 = -3*o. Suppose 13 = p*s + 3. Calculate the greatest common factor of s and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 205 or 335?\nAnswer: 205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of 4*x**3\/3 + 15*x**2 + 23*x. Let m be u(-3). Let o = 9 - 6. Solve -o*r + m = -r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 8*f**2 + 13*f + 8. Let a be k(-9). Let n = -21 - a. Solve -5*y + 18 + n = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(931) + 1 + sqrt(931)))**2 + -3)*5 + 5.\nAnswer: 3500*sqrt(19) + 465615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -n**5\/60 - n**4\/6 - n**3\/3 - n**2. Let x be (-310 + (10 - 5))*4\/10. Let w = x - -117. What is y(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 16*j**2 - 208*j + 4126. Determine n(20).\nAnswer: 1566","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114 and 2202404?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 5*r + r**3 + (-4 + 0 + 5)*(-r**3 + r**3 + r**3))*(-6*r**2 + 5*r**2 - 7*r**2).\nAnswer: -16*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41\/(3116\/361))\/(2\/(-8))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 3042652 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -126.2?\nAnswer: -126.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/42 + (-20497)\/(-23072)?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.121 and 21861.8.\nAnswer: 21861.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 986*s**2 - 18358*s - 281. Determine w(19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.02717 - 0.47283. What is the closest to -0.07 in 45\/2, -0.4, 2, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 6*c - 2. Let p be z(7). Suppose 16 = -v + p*v. Calculate the lowest common multiple of (1 + 0)\/(v\/12) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b - 3*b + 4*b + (0 + 1 - 2)*(22*b - 16*b + 11*b))*(1 - 3 + 0)*(-4*b - 4*b + 6*b)*(0 + 2 - 1) in the form n*b + t*b**2 + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 44 + 2*j - 3*j - 44. Let c(x) = -2*x**2 + 10*x. Let k(o) = -c(o) - 10*g(o). Let n(f) = 7 + 29*f - 7. Determine n(k(b)).\nAnswer: 58*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -26, -198, -658, -1550, -3018?\n\"Answer: -24*o**3 - 4*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3285 is divided by 1328?\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - v + 1. Let s(r) = -8*r**2 - 1. Let i(o) = -f(o) - s(o). Let j(c) be the first derivative of c**3\/3 + 893. What is i(j(w))?\nAnswer: 9*w**4 + w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-63))\/(2068\/(-311751)*6\/4*-1).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a + 1. Suppose 0 = 2*l - 3*f - 12, -2*f + 35 = 3*l + 2*f. Suppose -1 = -4*o - l. Suppose -77 = 6*n - 89. Let y(j) = 2. What is n*y(x) + o*g(x)?\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 11 - 27\/33?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1458) - (sqrt(1458) - (sqrt(1458)*-1 - sqrt(1458))) - sqrt(1458) - sqrt(1458))\/(sqrt(60)\/(sqrt(20)\/sqrt(2))))**2.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7425, -7424, -7423, -7422, -7421?\nAnswer: -7420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8397 + 8402. Solve -12*t + 14*t = s*q + 8, -4*t + q = -16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224129 at most 224127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-344)\/(-12))\/((-380)\/570)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/4 and (-18)\/6 + (-721)\/(-175)?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 54\/21*56\/12. Solve -j - v = -5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1051433256 and 5064?\nAnswer: 5064","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = k - 84, c - 4*k - 57 = -2*k. What is the lowest common multiple of 240 and c?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -5. Let c be (-324)\/7 - (2 - 4). Let w = c - -44. Put w, m, -1 in decreasing order.\nAnswer: w, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -2*n + 2*v - 58189, 6 = -2*v. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/6)\/(13*(-175)\/(-1950)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1412 divided by 353\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5013 divided by 18\nAnswer: 557\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 6 = 0, -3*v = 5*x - 0 + 1. Calculate the remainder when 89 is divided by 15\/(150\/260)*x\/1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -5279205 + 25879215. Suppose w = 2*w - n. Suppose v + w = 5*z, -3*z + 6*z - v - 6180005 = 0. What is z rounded to the nearest 100000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d*g**2*t**2 + d*g**2*t - 2*d*g**2 + 356*d*g + 3*d*t**2 - 2*g**2 - 1088*t**2 + t wrt t?\nAnswer: 4*d*g**2 + 6*d - 2176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3, -118, -239, -360?\n\"Answer: -121*x + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.9, -0.07, 2.946?\nAnswer: 2.946","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -4. Let m = -461 + 1997\/2. Let i = m - 538. What is the closest to 0 in i, t, 4\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - -8 - 15 - (-3 + -13 - -1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1737461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f. Let u(a) = -55156*a**2. What is u(r(q))?\nAnswer: -55156*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4296 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 352 + -203. Let l = 152 - v. Solve 42\/19*j**2 - 18\/19*j**l + 6\/19 + 34\/19*j = 0 for j.\nAnswer: -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -171*s - 8974. Determine a(-48).\nAnswer: -766","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3\/7 - 51*h**2\/7 - 288*h\/7 + 108.\nAnswer: 3*(h - 21)*(h - 2)*(h + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + 1 + (sqrt(19) + 0)*-4 - -2*sqrt(684)*6)**2.\nAnswer: 146*sqrt(19) + 101252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 8*t + 4. Suppose 0*d - 160 = -3*c + d, -3*d - 264 = -5*c. Calculate the remainder when c is divided by h(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 70 = 29*z. Solve -6*l = -5*l - 2, z*l = -k + 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**3 - y**2 + y. Suppose 5*v = 8 - 3. Let x be w(v). Suppose 2*d + 5*t = -8, 4*d = -7*t + x*t - 16. Let z(a) = a + 3. Determine z(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15207 is divided by 5068?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 559 - 547. Let y be 125\/30 - (-10)\/v. Solve 3 + 7 = y*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2284196*b*l**3*r**2 - 6*b*l**2*r**2 - 47*b*r**2 + 3*b*r + 232 wrt l.\nAnswer: 13705176*b*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/9)*k*k*k**(-1\/11)*((k*k**(-8)\/k)\/k)\/(k\/k**4) assuming k is positive.\nAnswer: k**(-427\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007892507 rounded to six decimal places?\nAnswer: -0.007893","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 33750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/18 and 43\/110.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14879?\nAnswer: 14879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45211 - 45211 - 61*h**2 + 120*h**2 - 56*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 658 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -76, -63, -38, 5, 72, 169?\n\"Answer: s**3 + 6*s - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2356 * 59.\nAnswer: 139004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 9*g**2 - 5*g + 3. Let q(u) = u + 14. Let s be q(-6). Is h(s) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -18*q + 19*q. Suppose 3*n + 91 = q*n. Calculate the remainder when 29 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85.147 less than -5.4?\nAnswer: 79.747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2. Let c(l) be the second derivative of -l**4\/12 + 11*l**3\/6 + 18*l. Let u be c(8). Let s(t) = u*t + 23*t - 53*t. Determine x(s(h)).\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(18\/1634456) + 24\/36. What is p rounded to the nearest one thousand?\nAnswer: 272000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 5\/65471?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(5) - ((1*sqrt(605))**2 - sqrt(605)))*1.\nAnswer: -1210 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 - 3*u + 3. Calculate the remainder when z(-6) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 44969.\nAnswer: -4496.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5534 + -5488. Calculate the highest common factor of 10810 and y.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(539) + -1)**2 - -6*-2*sqrt(539)) + -4 + sqrt(539) + -1 + sqrt(539)*2 + -1.\nAnswer: -1086 - 35*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -89320 divided by 28?\nAnswer: -3190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -5*u**2 + 33*u + 1. Let n be k(3). Which is the fourth smallest value? (a) -2 (b) 5 (c) 2\/13 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 413041 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12.65270900132 and 0.4.\nAnswer: 13.05270900132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -0.0291\nAnswer: -0.4709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 48079935804 and -1762.\nAnswer: 48079934042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5890782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (88\/72 - (-8)\/(-36))*0. Suppose -5*q + 0*q = g - 3427, -3*g + 6 = h. What are the prime factors of q?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1670516200, 1670516202, 1670516204, 1670516206, 1670516208, 1670516210?\nAnswer: 1670516212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 2*i - i. Sort 4, 0.5, -3, i.\nAnswer: -3, i, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 8:15 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 7*d + 4. Let u be n(-5). Let c be u + 7 - 1*-19. What is the greatest common divisor of c and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 17*i - 39. Let k be v(2). What is the thousands digit of (7 + 87)*(k + 22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 123914885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 6*w - 5. Let i be o(7). What is the derivative of 3*f**3 + 4*f**i - f**2 - 2 - 3*f**2 wrt f?\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from ttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13703, -32259, -50815, -69371, -87927, -106483?\n\"Answer: -18556*w + 4853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18 - -1b7b70?\nAnswer: 1b7b88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = q - 365847 + 27786, 0 = 4*q - 4*b - 1352196. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 79.\nAnswer: 31.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -3 (b) 1064 (c) -1\/8 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r - 2. Suppose -s - 24 = -5*m, -64 = s + 3*s - 4*m. What is the units digit of w(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l**3 - 6*l**2 - 16*l - 11. Let v be x(-1). Let g(j) = 18*j**2 + 22*j. Let c(r) = 2*r. Give v*g(i) - 22*c(i).\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -12*q. Let l(y) = 8*y. Let f(v) = -65*v. Let s(n) = 3*f(n) + 25*l(n). Let o(d) = -d. Let z(x) = 4*o(x) + s(x). Determine a(z(t)).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*h**4 - 292591*h**3 - 9*h**2 - 1344?\nAnswer: 264*h - 1755546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 297 and 13519.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13785257249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 424354 or 424348?\nAnswer: 424348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5*y**2 + y**2 + 2 - 2*y + 5*y**2 + y**3. Let v be k(1). Suppose -2*i = -5*i + 4*l + 101, 0 = 5*i - v*l - 159. What are the prime factors of i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 162, 2\/11, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 527*b = 808 - 2516 - 5143 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 12 + 10 + 2*n)*(6 + 6 - 5).\nAnswer: 28*n - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 + 4*o + 5. Let m be z(-1). Which is the nearest to 0? (a) 0 (b) 0.2 (c) m (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 13*h + 1. Let v = -13 + 21. Calculate the remainder when i(1) is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 831*z**2 - 1591*z - 62475. Calculate t(833).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40807170061968562043 + -40807170128650309105.99999927. Let t = q + 66681746471. Let u = 592 + t. Round u to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 8, 0.1, 190 in decreasing order.\nAnswer: 190, 8, 1\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = h + 1, -12*l + 3*l + 5*h - 256686 = -256719 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 3*m + 1, -5*m = 4*b - 0*m - 23. Suppose u + b*u = 12. Suppose -u*s + 43 + 141 = 0. List the prime factors of s.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 0*f**2 - 17*f + 17*f + 6 + f**2. Let h be j(0). Find d such that 1 - h*d**2 - 9 + 14*d + d**3 - 2*d = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 734.\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 5*u - 371 + 117, 4*u - 8 = 0. What is the remainder when 450 is divided by i?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -604389, -2417544, -5439475, -9670188, -15109689, -21757984, -29615079, -38680980?\nAnswer: -48955693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6718 equal to 6716?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*j + 1\/3*j**3 + 0 - 1\/6*j**4 + 1\/2*j**2.\nAnswer: -j**2*(j - 3)*(j + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450533793.\nAnswer: 3, 37, 163, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 23 - 18. Put j, 0.4, 35 in increasing order.\nAnswer: 0.4, j, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-238)\/1064*(-570)\/(-60).\nAnswer: -17\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - 0. Let j = -118.3 - -118. Let x be ((-22)\/(-165))\/(6\/(-10)). What is the closest to m in 1\/5, x, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 298948176?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1484665439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 11:15 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzzzzztzzzzzztz. What is prob of sequence zt?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 15*m - 10. Let h be v(-14). Find the second derivative of -2*k**h - 3*k - k + 2*k - 2*k wrt k.\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4 = 2*v, -v - 74 = -5*b. Suppose -4*d + 0*d + 14 = -m, 3*m - 5*d = -b. Suppose -o + 0 = 1, m*i - 9 = 5*o. Solve i*j + 3 = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -2, -5, 4, -3.\nAnswer: -17, -5, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -848 divided by 212?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**2 + 7*y**2 + 2*y - 75 - 5*y**2 - 2*y**2 + 2*y**2 to the form t + s*y**2 + z*y and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (159\/(-106))\/(-2*1\/(-4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 - 9. Suppose -2*a = -4*a + j. Suppose b = 4*b + a. Let o(p) = -2*p - 6. Give o(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*4\/96*4. Let k be (-2 + -1)*(-2)\/(-3). Let p(h) = h**2 + h. Let n be p(k). Solve 7 = -n*r - z for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 173, -1, 106 in ascending order.\nAnswer: -1, 106, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 91*a**2 - 90*a**2 - 6 - 8.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 8*n + 13. Let z be d(9). Suppose 0*i - z*i = -60. Let r be (-168)\/(-10) + 3\/i. What is the greatest common factor of 51 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 73 and 55 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 3:33 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - z**2 + z. Let a be -3 + -9 + (15 - -3). Let t(m) = -3*m**2 - m**3 - 3*m**3 + 2*m**3 + 2*m + m**3. Determine a*x(v) - 3*t(v).\nAnswer: -3*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -508581864*z**4 + 676835*z**2 + 179*z wrt z.\nAnswer: -12205964736*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 429 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9, n: 10}. What is prob of sequence nnnp?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*g**3 + g + 136 - 136 + (4*g - 3*g + 0*g)*(-3 + 3 + g**2) - 10 + 7*g**3 + 10 to v + j*g**3 + n*g + r*g**2 and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 1 + 1 + 27 + -47.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6383422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 102800 and 4370.\nAnswer: 44923600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43460*i**2 - 10 - 3 - 43455*i**2.\nAnswer: 5*i**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.100133 and 0.1.\nAnswer: 0.200133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299*b + 658 = 252*b for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 17, 22, 11, -28, -107, -238, -433?\nAnswer: -704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/56 of a week in minutes?\nAnswer: 180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*y**4 - 260*y**2 + 6 + 272*y**2 + 70*y**4 + 4*y**3 to the form u*y + k*y**2 + i*y**4 + c + q*y**3 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*k - 2914 + 24250, 5*s - 3*k - 26667 = 0. Suppose -5*b + s = 176. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 164 and 392.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/3923346 and -25\/126?\nAnswer: 11770038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.992 - -0.04.\nAnswer: -4.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(-2\/5))\/k)\/(k**(-1\/15)\/k))**(8\/7) assuming k is positive.\nAnswer: k**(176\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 2\/3523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-3)\/(-12)*-6)\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dededeeeeddeeeeeded. Give prob of picking 1 e and 2 d.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 38419433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (31*v + 5*v + 2*v)*(-144*v**2 + 240 - 240 - 700*v**2) in the form u*v**3 + m*v + l + f*v**2 and give u.\nAnswer: -32072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16373900 divided by -11215.\nAnswer: 1460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -348 - -348. What is the biggest value in 5, 1, -0.4, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149 divided by 51963.\nAnswer: 149\/51963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 1) + (31 - 27).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 765576 and 5952?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*n + 18*n**4 - 42*n + (-3*n + 4*n + 2*n)*(-n**3 + 6*n**3 + 29*n**3) in the form z*n**4 + c*n**3 + a*n + f*n**2 + r and give z.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3247 and 62839?\nAnswer: 1068263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 7 - (-1 + 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x + 6. Suppose -3*d = 2*d - 100. Suppose -5*p = -p - d. Let a be w(p). Let h(z) = 3*z + 4. Give h(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, x: 9}. What is prob of picking 3 x?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79\/160 + -1\/160. Which is the nearest to 0.1? (a) h (b) 4\/7 (c) 12\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-56)\/6*(-15)\/10. Suppose -2*u - i = -9*u. Find the third derivative of -33*o**5 + 2*o**5 + 12*o**5 - 5*o**u wrt o.\nAnswer: -1140*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by 937.\nAnswer: -16\/937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 7 (c) -3 (d) 11 (e) 1\/3 (f) -674\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 10:54 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 4697626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 0, 1, 166, -2 in ascending order.\nAnswer: -23, -2, 0, 1, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 103671.88 from -1.01431.\nAnswer: -103672.89431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -420*v + 3416. Let h(f) = -92*f + 759. Determine 32*h(l) - 7*u(l).\nAnswer: -4*l + 376","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1048817 rounded to the nearest ten thousand?\nAnswer: -1050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**28*(h*h*h\/(h\/(h\/(h\/h**26)))*h)\/h*h*h**(-2)*(h*(h\/h**22)\/h)\/h assuming h is positive.\nAnswer: h**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*v - 1 = 227*v - 841 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1003, -3723, -8255, -14599, -22755?\nAnswer: -32723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39546817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -2\/3*k**3 - 2*k + 5 + 2*k**2. Let x(j) = 0. Calculate j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -302.21 to the nearest integer.\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 h when four letters picked without replacement from sfvhgkhshsskfkh.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2578*1\nAnswer: 2578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77068 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + -1 - (2 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t. Let v(u) be the second derivative of u**3\/3 + u. What is a(v(j))?\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4609*w + 4319*w - 406508 - 22036 = 0 for w.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 6. Let i be f(2). Suppose -3*v + 452 = p, p = -i*v + 2*p + 598. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1810 + 1800 - d + 11*d**3 + d**2 - 3607 in the form z*d + y*d**3 + i*d**2 + t and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9432851 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*i + 63 - 9*i + 67 - 18*i + 26.\nAnswer: -16*i + 156","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**3 - 7*s**2 - 12. Let d be p(4). Let v be (84\/24 - d) + (-11)\/(-2). Solve v*g = -2*o + 17, -2*g + 6 = 5*o - 4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 139 = 2*r + 3*i, 0 = 5*r - 2*i - 295. Suppose -59*q - 516 = -r*q. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 10 - -16) + -2 - 19 - 1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1877509, 11.9, -2 in descending order.\nAnswer: 1877509, 11.9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 174137417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -72036.2 - -72038.799991. Let q = -24 + 26.6. Let m = q - g. Round m to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five quarters of a minute?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10784 and 7077?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53170, 212599, 478272, 850189?\nAnswer: 1328350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -150, -300, -450, -600, -750?\nAnswer: -900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 4. Suppose -3*k + 77 = z*r, 2*k + 49 = 4*k + r. Let c = 20 - 14. Calculate the highest common factor of k and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -3*m - 3, -3*m - 3*v = -4*v - 17. Let h = 18 + -13. Suppose -h*j + m = -3*a - 13, -4*j + 4*a + 12 = 0. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 - -0.3. Suppose 12*f = -f + 65. What is the second biggest value in s, 4, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 18. Let j(g) be the third derivative of 1\/120*g**6 + 0*g**z + 0 + 1\/3*g**3 + 0*g**4 - g**2 + 0*g. Find the first derivative of j(t) wrt t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 7062600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-16)*(-2)\/(-3)*-1\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010111000011100110011 (base 2) to base 3.\nAnswer: 12100221010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - 2*p - 93, 3*r + 12157*p + 102 = 12152*p for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 622 - 848. Let i = -316 + 160. Let d = i - s. 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: Find the second derivative of -6*l**2*s**3*t + 125*l**2*s**2 - 30*l**2*t - 11*l*s**3*t - 38*l*s**3 - 8*l*t wrt l.\nAnswer: -12*s**3*t + 250*s**2 - 60*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 10\/1440459?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/6*4 - 3792464\/624. Which is greater: -24313\/4 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -526 (base 8) to base 7\nAnswer: -666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*n + 6*n - 11*n - 260*n**2 + 10*n**2 to c*n + r*n**2 + t and give r.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 330671 or 330685?\nAnswer: 330685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.517817 centuries in years?\nAnswer: 251.7817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2. Let x(v) = -4*v + 2*v**2 + 4*v + 19*v**2. Determine f(x(c)).\nAnswer: -441*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2 = -0. Suppose -x + 11 = i. Find the common denominator of x\/((20\/11)\/(-2)) and 67\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u**3 + 4*u**3 + 0*u**3 + (3*u**2 - 2*u**2 - 2*u**2)*(-4*u + 2*u + 3*u) - 2*u**3 + 0*u**3 + 0*u**3 to the form t*u + w*u**2 + l + n*u**3 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 18 - -17 - 43?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77.93 + -82.763. Let p = 0.167 - z. Let k = 3.6 - 2.6. What is the closest to -2\/3 in -1\/26, p, k?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144 and 16392.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75864 + 15257. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 76 and 1748.\nAnswer: 1748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5981, -38269, -125903, -296555, -577897, -997601, -1583339, -2362783?\n\"Answer: -4612*j**3 - j**2 - j - 1367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/25 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 32\/5 of a kilogram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 2:28 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000684132 rounded to six decimal places?\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6538*q**2 - 103*q - 13. What are the prime factors of t(-2)?\nAnswer: 5, 11, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28533035 by 97.\nAnswer: -294155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 877534747?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 109652 rounded to the nearest 1000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3553 and 9367.\nAnswer: 103037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -17*w**3\/2 - 2*w + 26. Let f(z) = -3*z. What is p(f(d))?\nAnswer: 153*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*h, q - 4*h = -9 + 42. Let r be (7 + -1)*(-2)\/(-4). What is the derivative of -q*u**2 - 15*u**2 - r*u**2 - 6 wrt u?\nAnswer: -62*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/(-32))\/((-106)\/(-848)))\/(2 + 1 + 4)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 241, 243, 245, 247, 249?\n\"Answer: 2*m + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -50155*d**5*y - 43*d**3*y + 2*d*y + d + 19705239*y + 1 wrt d.\nAnswer: -1003100*d**3*y - 258*d*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4827 is divided by 2407?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -2. Suppose 3 = 3*n + 3*h - 9, d*n - 3*h = 36. Suppose 42 - 8 = 2*w + 3*j, j = 3*w - 73. What is the remainder when w is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-110)\/(-15))\/(65\/(-21) - -3). Let f = h - -206. Calculate the remainder when f is divided by 67.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6396925 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7400, -17, 1 in decreasing order.\nAnswer: 7400, 1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 27 = 4*v, x + 3*x - 24 = 4*v. Suppose -x*a - 15 = -8*a. Suppose 0 = -7*n + a*n + 28. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y - 623 + 594 - 3*y + 336 in the form i*y + c and give c.\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 + 66. Suppose 0 = 8*g - c - 13. Suppose 0 = -2*d - g*m + 77, -2*m = -2*d - 5*m + 75. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3412663 is divided by 34126.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, -2, 3.4, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3754261 millennia to centuries.\nAnswer: 3.754261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58 + -57.99999608. Round l to 7 decimal places.\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 848984860 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1 + ((sqrt(66) - (1*sqrt(66) - sqrt(66)))*3 + (sqrt(66) - (sqrt(66) - 4*(sqrt(66) - sqrt(66)*-1))) + sqrt(66))\/(sqrt(600)*-1 - -1*sqrt(150)).\nAnswer: -12*sqrt(11)\/5 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 18*k**3 - 16*k**2 - 8*k + 4. Let j(b) = 18*b**3 - 11*b**2 - 7*b + 3. Determine 3*j(d) - 2*r(d).\nAnswer: 18*d**3 - d**2 - 5*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69035, 69040, 69047, 69056?\nAnswer: 69067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 798, 2708, 6432, 12576?\nAnswer: 21746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 411989 and 1818797.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*a + 317*a + 182 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(539)*1 + 1)*3)**2.\nAnswer: 630*sqrt(11) + 24300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 963669c + 0?\nAnswer: 963669c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -2. Suppose -2*g - 3*s = -30, -g - 2*s = -3*s - 10. Let u = g - z. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 121437 and 1012761?\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-161)\/840 - (-4)\/(0 + 2). Let o = -5\/24 + v. Factor -o*j**4 + 0 + 2\/5*j - 4\/5*j**2 - 14\/5*j**3.\nAnswer: -2*j*(j + 1)**2*(4*j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 2:54 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 13 = m + 4*m, 0 = m - 2*d + 5. Let g = 0.023 - -0.277. Which is the nearest to 1? (a) g (b) -0.1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43223 (base 5) to base 9.\nAnswer: 4024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 111715 (base 8) to base 9\nAnswer: 56811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 389670 + -5?\nAnswer: 389669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262 - k**2 - 409 + 147.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 562 = 3*y + 3*r, -y = -3*r - 209. List the prime factors of y.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 1 - (-47 + -115 + 166)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 62, 78, 94, 110?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (s + 4*s - 2*s)*(2 - 1 + 0) - 2*s + 3 - 3 + (1 - 5 + 3)*(-2*s - s + 5*s) + 2 - 2 - 2*s - s + 0*s - s in the form h*s + j and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j**2 + 241*j + 161. What is the thousands digit of s(-64)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 20*l**2 + 3228*l - 1812. Calculate f(-162).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*n - 3*y = -101, -3*n + 236*y + 21 = 239*y for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 1 - 2*c - 3\/2*c**2. What is the first derivative of y(w) wrt w?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -15*p**3 + 2*p**2 + 3*p + 2. What is the remainder when 62 is divided by x(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 32*d + 2. Let u(k) = -7*k. Let z(i) = -a(i) - 5*u(i). What is z(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26 and 9?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 2)*(2*s**2 + s**4 - 3*s**2 + 0*s**2).\nAnswer: -3*s**4 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -21.46. Let p = -0.14 - f. What is the second biggest value in 1, p, -8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 9*d - 13. What is u(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11\/7 + (-78)\/(-182). Solve 3*c - 2*c + 11 = m*b, -5*b + c = -20 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136397.\nAnswer: 136397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 531 and 38637?\nAnswer: 2279583","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - ((-2 + -8 - -7) + (5 - 4))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/5 (b) 1\/2 (c) -0.5 (d) 4466\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 5405?\nAnswer: 118910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z + 345 = -466 + 973 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 10 = -7*l. Let y be (-3)\/l*(-40)\/(-12). Let w(d) = d**2 - 2*d - 4. Let u be w(4). Is y > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*d, -p + d + 494 = 2*p. Let s = p + -134. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5318877 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*p + g - 6, -2*p + 5*g = -12. Let v be 2\/p + ((-680)\/24)\/(-17). Solve -x + 8 - v = j, 3*x - 6 = 3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49912 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 67 = 5*k, -4*i - 15 = -k - 5*i. Let j = k + 1. What is the highest common factor of j and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249637 is divided by 22691?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-3))\/(5\/45). Let f(a) be the second derivative of 0 + 4\/3*a**2 - 1\/4*a**5 - 7\/18*a**4 + 4*a + 1\/10*a**6 + 2\/3*a**u. Find n, given that f(n) = 0.\nAnswer: -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 3 - 9. Suppose -s*d - 2 = 34. Is 14 + (-3)\/(d\/6) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -v**5\/60 + v**4\/8 - v**3\/2 + 10*v**2 + 1. Give m(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 5*w**2 - 3*w - 6. Suppose 5*x + 4*t = 50, -x = 2*x + 2*t - 28. Suppose -s + 7 = 3*u, 4*s + x*u + 4 = 2*u. Determine q(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*l = -49*l - 365. Suppose -66*c = -l*c + 42. Solve -2*m - c + 0 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -93, 2, 0, -982, 3 in descending order.\nAnswer: 4, 3, 2, 0, -4, -93, -982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -39 - 39 + 6*h**2 - 7*h**2 + 121 - h**3 - 44. Let i(p) = 6*p**3 + 22*p**2 + 22. Calculate 44*b(a) + 2*i(a).\nAnswer: -32*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 5\/8, -2\/5, 11\/430?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -0.008\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(-14)\/(-196)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7463*i**2 - 6145*i**2 + 17328*i**2.\nAnswer: 18646*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3997*y - 3855*y + 7870*y.\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 26*u**2 + 6*u - 16. Let y be t(3). Suppose -2*x = -2*n + 7*n - y, -10 = 5*x. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 93*k. Let i(q) = -209*q**2 + q + 35. Calculate b(i(o)).\nAnswer: -19437*o**2 + 93*o + 3255","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -16b (base 14) in base 5?\nAnswer: -2131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26\/(-117)*36\/16. Which is the third smallest value? (a) -0.3 (b) 1\/6 (c) i (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1338853114 and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 4 = q. What is the third smallest value in q, -0.2, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10)*2*2)\/(-4*sqrt(8)\/sqrt(4)))**2 - (sqrt(5)*-1*3 - (-2*sqrt(125))**2).\nAnswer: 3*sqrt(5) + 505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttthhtttt. What is prob of picking 2 h?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - l = 299303, 2*o - 27*l = -28*l + 119717. What is the ten thousands digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 108711\/28 + -15529\/4. Let x = -5.6 + 6. Let j = x - -0.1. Which is the second smallest value? (a) j (b) -0.4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 4 = -4*h, 14 = 193*g - 188*g + 2*h for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -19*q + 11. Solve -i + 0*u = 3*u + q, 0 = -3*u - 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.81*0.57\nAnswer: -0.4617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56652750 by -99.\nAnswer: 572250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 95481 by 309.\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 271 - 159 = 0. Let n be (a\/(-35))\/(3 - 5). Sort 2, 3\/8, n, 4\/3 in decreasing order.\nAnswer: 2, 4\/3, 3\/8, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -115.1 or -1658?\nAnswer: -115.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*n**5 - 12*n**5 - 21*n**5 + 218 + (n + 0*n + 2*n)*(-2*n**2 + 2*n**2 - 2*n**4).\nAnswer: -7*n**5 + 218","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-50))\/((-4)\/(-8)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + sqrt(425)).\nAnswer: -25*sqrt(17) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 650455, -5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/((-14)\/4) + 7. Solve 0 = -c*n - 7 - 8 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five eighths of a day?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 2*p - 16, 5*l + 1017 = -5*p + 1027 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**4 + 264*r**3 + 552*r**2 - 1056*r - 2160 = 0. Calculate r.\nAnswer: -2, 2, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 h, and 1 j when three letters picked without replacement from {h: 3, q: 1, j: 3, t: 6, v: 1}?\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*3\/6*6. What are the prime factors of 3*(-3)\/j*-58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*n**2 - 38 + 73 - 36 - 11*n in the form a + i*n**2 + k*n and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -10\/21, 0.03?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*m + 3*m. Let q(w) be the second derivative of w**3\/3 + 5*w**2\/2 + 2*w - 4. What are the prime factors of q(m)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -1767065?\nAnswer: 1767061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 245863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*d - 1694 = -16*d + 44*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/1279 - 2553\/6395. What is the fourth biggest value in -6, t, 0.081, 0.4, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-6))\/((-5)\/(-3520)). Suppose -2*c - 2*o = -u, 2*c - 373 = 3*o + 2*o. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 488058 and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p - 2. Let f be b(3). Let y(u) = 2 + 0 - f. Let o(j) = 2*j - 3. Let n be ((-2)\/5)\/((-3)\/(-15)). Give n*y(w) - o(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 19*w**3 + 15*w**3 - 32*w**3 + 3*w**2 - 95 to the form m*w**2 + g*w + z*w**3 + x and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 - 18)*(6 - 1 + 1)*(-3*b + 3 - 3) - 2*b + 2*b + b.\nAnswer: 379*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1017 equal to 1016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4934635997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -52 (b) 179\/11 (c) 8 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5*w**2 + 3*w - 1. Let u be 16\/(-5) - 1\/(-5). What is the units digit of x(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 255 - -404?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1. Suppose 3*u = -5*w - 7, 0*w - 3*w = 4*u + 24. Let o be 56\/(-66) + (-6)\/u. Is o bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(9\/(-3))*-4. Let d = -0.01 + -0.03. Let g = d - -0.11. Put -1\/4, b, g in increasing order.\nAnswer: -1\/4, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 592433?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 116 (c) 3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/4 + 27406*f**2 + 751746148*f + 36020699328.\nAnswer: (f + 48)*(f + 54788)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12320755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9316457?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rknkkknnuuknndkr. What is prob of sequence drk?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -s + 167. Calculate the greatest common factor of 10414 and s.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 13*a - 7. Suppose -2*n - 3*n = -u - 33, -4*u = -5*n + 42. Let q = -3 - -5. Let o(r) = -5*r + n - q*r - 2. Determine 11*o(c) + 6*v(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z + z = 5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 4, 110, 326, 3.\nAnswer: -1\/8, 3, 4, 110, 326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 - 47.2. Let a = 51 + -257\/5. What is the second biggest value in -1, -5, f, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 288+1.35\nAnswer: 289.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3*(1760\/10)\/(-22)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 26 - (-2 + 0)) + 9 + -4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and -150392?\nAnswer: 150392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2221011 (base 4) in base 10?\nAnswer: -10821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 239472*k**3 + 445555*k**2 wrt k.\nAnswer: 1436832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m**3 + 14*m**3 - 34*m**3 - 21*m**3.\nAnswer: -50*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-857792)\/12372*36\/26\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 215? (a) -3\/4 (b) 2\/19 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16173439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4341*d**2 - 28*d - 556081.\nAnswer: 8682*d - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(1\/3))\/g)**(1\/57)*g\/(g**(-9)*g)*g**(-3\/4)\/g assuming g is positive.\nAnswer: g**(4955\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/13 (b) 3\/7 (c) -27.99388\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32175 divided by 495?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 464517320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*sqrt(4032)*4 - (-5 + (0 + sqrt(4032))**2)) + ((sqrt(252)\/sqrt(4)*-4 - sqrt(63)) + sqrt(63) - sqrt(63)) + sqrt(3087) + -2.\nAnswer: -4027 - 186*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8267604931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 931.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 10 + 70 = 0. Suppose 12 = -h + q. Let v(a) = -a**3 + a**2 + 4*a + 3. Let u be v(-3). Calculate the highest common factor of h and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/17? (a) -7.7 (b) -0.5 (c) -5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*o = 413*o - 211*o - 6*s - 28, 0 = -2*o + 5*s - 11 - 8 - 7 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, f: 1, t: 2}. What is prob of sequence uft?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 207.652 + -0.4.\nAnswer: 207.252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 16 - 10*z - 27 - 19 + 2*z. Let s be a(-6). What is the highest common factor of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2757*j - 2748*j. Sort j, 27, 1, 5.\nAnswer: j, 1, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310*k = 138*k + 214251628. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**3 - 13*v**2 + 4*v + 64. What is the least common multiple of 22 and c(-8)?\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1386\/105 + 4*2\/10. What is the greatest common divisor of p and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-110 - (-3 - -7)) + (4114 - 4131)?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4568 divided by -372?\nAnswer: 1142\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11, 2, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 412 a factor of 4446304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -4 - (-9 - -16 - 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 324*n - 327*n - 441, -n = 5*y + 147. Sort n, -2, -4.\nAnswer: n, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eczzzzzzczzzzez. What is prob of picking 3 z?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -659 (b) 0 (c) -129 (d) 4 (e) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 62*p - 64*p - 5*f + 44, 2*p + 0*f - 20 = -2*f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(2\/15))\/h**(-9)*h**8*h*h\/h**(3\/7))**(-46))**(6\/17) assuming h is positive.\nAnswer: h**(-190348\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.16 in -1\/5, -1, 0.5, -4\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136 and 2057?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.0920317 to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 3:22 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -23. Suppose -2 - y = -t. Let r(j) = -j**3 + 6*j**2 - 2*j - 4. Let i be r(t). Calculate the greatest common factor of 99 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/14*4\/18)\/(4\/(2*-318))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pcpp when four letters picked without replacement from ccpppcpcppcccccpcpp.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 11*a - 21. Let y be h(-8). Let j(w) = 2*w**2 - w**3 - w**3 - w**2 + 2*w**3 - 2 + w**y. Calculate j(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-2*sqrt(684)*-3)**2 + -4 + (5 + -1 + -1 + sqrt(684))**2).\nAnswer: 180*sqrt(19) + 126565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19295 and 425.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-6) - (-140)\/3?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2562 = -5*m, -2*g + g = m - 854. What is the highest common factor of g and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -4620.\nAnswer: -1\/924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48 + 3 + 42)*(-3*i**2 + 2*i**2 + 3*i**2).\nAnswer: 186*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -755, -3521, -8095, -14459, -22595?\nAnswer: -32485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**9\/60480 - c**8\/10080 - c**7\/1680 - c**6\/240 - c**5\/60 - 4*c**2. Let w(u) be the third derivative of f(u). What is w(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33943 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1983114 is divided by 1247.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five quarters of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11763159, -11763154, -11763145, -11763132, -11763115, -11763094, -11763069?\n\"Answer: 2*b**2 - b - 11763160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kxvvxnvvt. What is prob of picking 1 v, 1 t, and 1 x?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1538 + -1385. Calculate the lowest common multiple of 17 and o.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 8159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2043163?\nAnswer: 2043163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**6*r))\/r*(r*r**(-4\/7)*r)\/r)**30 assuming r is positive.\nAnswer: r**(-1590\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/11*a - 81\/11*a**2 + 324\/11 + 1\/11*a**3.\nAnswer: (a - 81)*(a - 2)*(a + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*z**4 - 24*z**4 + 5*z**4 + 2*z + 4 + 2*z**2 to the form j*z + k + h*z**4 + u*z**2 + c*z**3 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 2*s - 14, 3 = 2*f - 2*s - 5. Suppose 4*l = f*h + 241, -3*h = 3*l + 18 - 225. Is l a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 72, 144, 218, 294, 372, 452, 534?\n\"Answer: t**2 + 69*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, y: 1, f: 1, e: 2}. What is prob of sequence oy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 12*m**2 - 1. Let v = 1 - 0. Does 5 divide a(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = -17*g + 58 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, e: 1, c: 3}. Give prob of picking 1 i and 1 e.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 234.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.2340298 centuries?\nAnswer: 2.340298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g = -22*g + 20. What is the third derivative of n**g - n**4 + 479*n**6 + 11*n**2 - 484*n**6 wrt n?\nAnswer: -600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -103 - -106. Solve -n*t + 8 - 5 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 546 and 479310.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 1:23 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 205.\nAnswer: 2870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22112 + -10120100?\nAnswer: -10212212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8.545303 milligrams?\nAnswer: 0.000000008545303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3113 - 1270 = -9*u. Let h = u + -314. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/(-2))\/(27\/(-72)))\/(20\/(-18)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4*4*sqrt(170)*-4)\/(sqrt(60)\/(sqrt(486) - (-4*sqrt(486) - sqrt(486) - sqrt(486))))*-2.\nAnswer: -24192*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 2:46 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11651 + -5888. List the prime factors of l.\nAnswer: 3, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 7*p + 9. Let b be 4\/14 + 18\/(-63). Suppose 4*h + 23 + 1 = b. Determine a(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(891)*1*-4*1.\nAnswer: -216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-18)*(-6)\/4. Let j = -864 + 9502\/11. Let t be 0 + -1 - 1\/(-2). What is the closest to t in b, j, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 712 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 369*y + 9084 + 372*y - 741*y - 9084 - 144*y**2.\nAnswer: -144*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, 3\/5, -1\/9, 2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*k - 0. Let d = -5 + 10. Let g = 8 - d. Which is the closest to k? (a) 2\/9 (b) 0 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63*-3.\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 36500225 (base 7) to base 12\nAnswer: 1112b6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 7*t**2 + 61*t - 11. Let y be c(-6). Solve 97*r = y*r - 24 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*d - 38*d**3 - 26*d)*(-1 + 0 - 1)*(0 - 6 + 4) + 2*d**3 + 2*d**3 + 8*d**3.\nAnswer: -140*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000607019596 to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-6))**(-2\/19))**(6\/19))**3 assuming j is positive.\nAnswer: j**(180\/361)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 33\/5 of a centimeter?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -7. Let n(v) = v**3 + 7*v**2 + 5*v - 3. Let m be n(-6). Suppose -z = -m*g - 7, g + 4 = -0*z + 2*z. Is r at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 7578*a**3 + 13*a - 11. List the prime factors of o(1).\nAnswer: 2, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, -3\/4, -0.3, 2, 0.1 in decreasing order.\nAnswer: 2, 0.1, 0.03, -0.3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00345451 to four decimal places.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 9:56 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 2294?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3 + 24*t - 34*t + 14*t. What is the units digit of x(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -60*t + 60 + 180 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -64*t**2 + 8. Let s(g) = 64*g**2 - 7. Give 6*s(c) + 5*u(c).\nAnswer: 64*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 c when four letters picked without replacement from nocynolm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 28.07021 minutes?\nAnswer: 1684212600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c + 2. Let d = 1 - 3. Let t(y) = -7*y + 12 - y**2 + 4 - 23. Determine d*t(p) - 7*u(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/3 + 10506*v + 63032\/3.\nAnswer: (v + 2)*(v + 31516)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 14*y + 29. Let n be m(-2). Is -1 + n + -8 - -366 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 165 + -172. Which is greater: 27 or s?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*g, 58*g = 9*s + 63*g - 47. Let i(t) = -7*t**2 + 2*t - 9. Let d(a) = 6*a**2 - 3*a + 8. Let x(l) = -6*d(l) - 5*i(l). Give x(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53168161.\nAnswer: 53168161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/160*(75\/(-18))\/5.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 388 + 67*i**5 - 5*i**5 - 384 + 3*i**2 - 3*i**2 + 2*i**5 + (4 + i**2 - 4)*(i**3 + i**3 + 0*i**3) - i**5 + 3*i**5 + 0*i**5 + i**5 + 0*i**4 + 0*i**4.\nAnswer: 69*i**5 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 5*w**2 - 20*w + 10. Let j(p) = -p**2 + 4*p - 2. Let g(i) = -11*j(i) - 2*r(i). Determine g(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 11*v**2 - 3*v - 6. Let c be b(7). Suppose -5*a = f + 100 + 448, 0 = f - 4*a + c. Let o = -351 - f. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 902361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w**2 + w + 9. Let o(r) = -11*r**2 + 2*r + 26. Let s(c) = 6*o(c) - 17*u(c). Let k be s(4). Solve 4*h + 6 = -2*a + 16, 0 = 3*a - 4*h - k for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 85 + 82 = 0, -5*a - 4 = -3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*y = -26, -6*y + 4*y - 58 = -3*i. Solve -i + 24 = 2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11130\/1908*6\/(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdd when three letters picked without replacement from dzfddddffcdd?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-6\/13)*r)\/(r*r**(-4\/7)\/r) assuming r is positive.\nAnswer: r**(192\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 648864.\nAnswer: 1\/648864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 429\/59?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 13 = -5*x, -9*c + 4 = -4*x - 11*c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -28467 divided by 5\nAnswer: -28467\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/(-14) - (-2)\/7. Let p = 8.2 + -8. Let t = -5.2 - -5. Which is the closest to -1? (a) o (b) p (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, -5, 1, -98?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-136)\/12)\/2 - 6\/(-9). Let r(n) = -17*n - 1. Let j(v) = 8*v. Calculate w*j(o) - 2*r(o).\nAnswer: -6*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -42*z**2 + 8093*z + 1906. Give f(193).\nAnswer: -603","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*a - 87*a + 783729*a**2 - 783733*a**2 in the form w*a**2 + x*a + q and give x.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 7*o + 3*o)*(105 - 198 + 111 + (-4 - 1 + 4)*(-2 + 2 - 2) + 21 - 4 + 1) - 1 + 2*o + 1.\nAnswer: -74*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(1\/2)*p)\/p)**(-1)\/(p*p**(3\/8)\/p*p*p**1) assuming p is positive.\nAnswer: p**(-31\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 4*b - 19 = 0, 3*p + 3*b = 20 - 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*a + a + 0*a)*(-a**2 + a - a) - 4*a**3 + 0*a**3 + 3*a**3 - 4*a**3 + 1 - 1)*(51*a - 134 + 134).\nAnswer: -306*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**4*t**2 + 12442*j**3*t**3 - 10*j**2*t**2 - 3*j*t**3 + 68*j*t**2 wrt j.\nAnswer: 24*j*t**2 + 74652*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -4, 1011239?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7646552.\nAnswer: 2, 955819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*g**2 + 31 - 31 + (-2*g + 4*g - 4*g)*(g - 3*g + g) + 2*g**2 - g**2 - 4*g**2 + (-g + 0*g + 2*g)*(8*g + 76 - 76))*(-4*g**3 + 7*g**3 - g**3).\nAnswer: -2*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*l**3 + 14*l + 4*l**2 + 2*l - l**2 - 17*l to f + t*l + c*l**2 + j*l**3 and give j.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-3 + 0 + 0). Suppose -2*b - 25 = -3*l + 2*b, 0 = -5*l + 3*b + 27. Suppose -l*g - 1 = -16. Solve -w = r - g for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.461 + 3.161. What is the smallest value in -4, 4, o, 1\/2, 1\/28?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -14*k**3 - 2*k**2 - 49*k - 50. Give i(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*y - 32*y + 18*y)*(-2*y - 2*y + 3*y) - 3*y**2 + 3*y - y + 6*y**2.\nAnswer: 53*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 a factor of 76712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -7821.32*0.072\nAnswer: -563.13504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2554*x + 6 - 14*x**3 + 3*x**3 - 1983*x + 4537*x.\nAnswer: -11*x**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19210209 - -19210208.69935077. Let k = q - 1.79935181. Let i = 2.1 + k. What is i rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 38 + -2?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*r + 7651371 = 7652625 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 20 = -3*g + t, -90621*g + 2*t = -90611*g - 110 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2767 - 2770. Let w = -9 + -3. Let d = -17 - w. What is the closest to 2\/7 in s, d, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18422.\nAnswer: 2, 61, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*v - 110 = -0*l, 0 = -3*l + v + 75. Let g be (-1 - 0)\/(2\/l). Which is bigger: -3 or g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3 + 4186 + -7 + -7 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000387 to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 936 * 153.\nAnswer: 143208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 75 = 7*p. Suppose p*h - 12*h = 0. Let z = 4 - 2. Solve h = -z*q + 8 - 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 47 - -21?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2425031519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1812*r**6 - 52*r**2 - 7*r + 3.\nAnswer: -217440*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8703, 0.036, -0.05 in decreasing order.\nAnswer: 8703, 0.036, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -56*i + 1. Let s(o) = -139*o - 36. What is -3*r(v) + s(v)?\nAnswer: 29*v - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 0*p - 2*p**3)*(-p + 3*p + p) + (2*p**2 - 3*p**2 + 0*p**2)*(-4*p**2 - 2*p**2 + 4*p**2).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 take away -10246461842253?\nAnswer: 10246461842253.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-142)\/(-1491))\/(8\/42)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 86 + 28)*(3 + o - 3)*(-2 + 6 - 3)*(-o + 0*o + 2*o).\nAnswer: 119*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003255468 rounded to seven decimal places?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.8276389s in weeks?\nAnswer: 0.00001955628125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/30*(-2)\/6.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*q - 0, 1247 = 5*w + q. Suppose -4*l = -3*r + w, -2*r + 5*l = -157 + 2. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -7*v**6\/360 + v**4\/2 + 3*v**2 + 23*v - 2. Let z(b) be the third derivative of u(b). Let w(l) = -6*l**2. What is z(w(x))?\nAnswer: 84*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 8 = -2*r. Suppose 4 + 1 = 3*u - 5*x, 0 = 3*u + 4*x + r. Suppose -5*i - 4400 + 250 = u. What is i rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 13*f + 13. Let g be b(-13). Let d = 13 - g. Suppose -8*n + 6*n + 6 = d. Solve -7 = 3*v + 4*a, -7*v + n*v - 2 = -2*a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133043 (base 5) in base 7?\nAnswer: 21511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 64733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 + (31 - 136) - ((1 - -1) + -10)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, x: 1, m: 1, n: 1, j: 1}. What is prob of sequence xm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 3:46 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1691.06 - -0.09726?\nAnswer: -1690.96274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 486*l + 25030 - 23086 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 10:12 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1177 + 5865 = -565*d - 5419 + 502 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 20*g**2 + 15*g + 2. Let m(n) = -n**3 + 20*n**2 + 15*n + 3. Let l(r) = 2*m(r) - 3*w(r). Suppose l(j) = 0. Calculate j.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 1960 = 5*i, -5*b - 1186 = 3*i - 4*b. Let r = i + 727. Does 10 divide ((-2)\/(-5))\/(3\/r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23431021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.41 + -10.545. What is r rounded to two dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h + 28. Let r be d(14). Suppose -b = -15*b + r. Suppose -4*q + 5*k = -0 - 2, 3*q = 2*k + 5. Calculate the least common multiple of q and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*m - 143*m = -10. Suppose -m*q + 3480 = 2*k, 6*k + 2*q - 8679 = k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v**2 + 9. Let w(f) = 3 - 1 - 1 + 0. Let b(j) = 2*q(j) - 18*w(j). Let n(c) = 2*c. Give n(b(x)).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 3, -n + 3*u - 7 = -1. Calculate the remainder when 280 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44094392 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.253566kg to micrograms.\nAnswer: 4253566000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22 or -8520\/413?\nAnswer: -8520\/413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 c when three letters picked without replacement from iiqqqcqcq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5\/2 + 13\/6. Let h(w) = w + 1. Let j = -7 + 4. Let b be h(j). What is the closest to u in 2\/15, b, -9?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10 + (-15)\/3 + 2. Suppose -3*f = -a*f + 104. Suppose 2*v = -2*v - 3*w + 25, f = 5*v + 2*w. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/((-900)\/(-80)))\/(10\/(-585)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**3 + u - 3*u**3 + 5*u**3 + (2*u + 2*u**2 - 2*u)*(-15*u + 3*u + 13*u).\nAnswer: 4*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2507291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 524191242096 less than 0?\nAnswer: -524191242096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 1 - 1) + 174 + -167?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3032 - 3031. Which is the nearest to q? (a) -0.5 (b) -3\/2 (c) 82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 259 + -127. Suppose 0 = -3*g + 4*a - 95, g - 69 = 3*g + 3*a. Let f = o + g. Is 32 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 + (9 + 18 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 5. Suppose -1 = 3*m - 10. Let u be -1 + 6\/3 + -1. Solve u = m*v + 7 + o for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 1 + sqrt(396) - sqrt(396)) + (sqrt(396) + 2)*4)**2*-1*-1.\nAnswer: 240*sqrt(11) + 6361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58 and 1472417?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -12, 4.\nAnswer: -12, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12688 - -227?\nAnswer: -12461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 3\/5 (b) 97 (c) 4 (d) -0.127\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-44)\/(-5))\/(-4 - 72\/(-20)). Calculate the common denominator of -16\/15 and (-38 - h)\/(126\/(-11)).\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1272421 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -6405*j**3 - 13*j**2 - 46*j - 6. Let a be m(-4). What is a rounded to the nearest one thousand?\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 463 = -454. Solve 5*b - 7*b = 3*q, q + b - j = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 0.5, -925.391?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 6:23 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -29944608 divided by -456?\nAnswer: 65668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -685.438.\nAnswer: -688.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**2 - 4*w - 5. Let c be z(6). Suppose s + 3*b = -67, -5*b = 3*s - 287 + 500. Let x = c + s. Solve -5*t = x - 23 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5870346 divided by 26443?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -88*b + 82*b + 72. Suppose k + b*m - 1147 = 10*m, 3*m = 0. Does 31 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 444*r + 2 - 2 - 7*r**2 - 444*r. Let j(x) = -2*x**2. Determine j(y(o)).\nAnswer: -98*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 + -26. Suppose -3*i - 4 = -y, -2*i = -d*i + 5. Solve 3*f = 2*g + y, -20 = -5*f - g - 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -5 (c) 4\/231\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3264849682 to 3 dps.\nAnswer: -0.326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -7*i**3 - 9*i**2\/2 - 22*i. Let y be v(-3). What are the prime factors of (y\/(-6) + 0)*-6?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 116*z**3 + 156*z**2 + 10*z**4 + 3*z**4 + 3*z**4 + 72*z + 4*z**5 + 20*z**4 = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c5dc2 (base 14) in base 15?\nAnswer: -966da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3101201220 (base 4) to base 6.\nAnswer: 30221120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 121\/5 + -1079\/45. Let c = -42\/19 - -332\/133. Sort y, -4, c, 10 in descending order.\nAnswer: 10, c, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1079676261.\nAnswer: 3, 2801, 42829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 + -16 - -25) + -7 + 7 + 2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2 - 6*m + 7. Let i be b(4). Let z = i - -80. Let o(j) = j + 8. What is the remainder when z is divided by o(8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (6 - (-35)\/(-30)*9).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8389*t**4*u**3 - 38*t**4*u - 42241*t*u**3 - t*u**2 - t*u wrt t?\nAnswer: 100668*t**2*u**3 - 456*t**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-224)\/(-744) + (6 - (-57)\/(-9)). Which is the nearest to 2\/7? (a) x (b) 6 (c) 2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -1808*v + 495380. Give b(274).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 + 86 + 19*g - 193 + 61.\nAnswer: 19*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2685?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**6\/6 + 17*y**4\/12 - 16*y. Find the third derivative of f(d) wrt d.\nAnswer: -120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((3\/2)\/(315\/60)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 510.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60770.7l in millilitres?\nAnswer: 60770700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -23\/18, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c**3 - 32*c**2 + 54*c + 470. Give g(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -239, -2.3, 17?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n + 58. Let z = -1440 + 1484. What is the remainder when z is divided by q(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -s - 3*p - 32, 4*p = 0. Is 10 a factor of ((-172)\/(-5))\/(s\/(-10) - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c + 3*c - 1398191*c**2 + 1398175*c**2.\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 62505037 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -5*g**8\/336 + 5*g**6\/12 - 15*g**4\/8 - 2*g**2 - 3. Determine z, given that q(z) = 0.\nAnswer: -3, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 36 = 5*i, -2*i = 3*i + 3*u - 37. What are the prime factors of (-4)\/(i\/(-1926)) - 3?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g - 446. Let q(k) = -10*k + 882. What is 4*q(c) + 9*y(c)?\nAnswer: -4*c - 486","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -716*q = -735*q - 361 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1354950 by 270990.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9950416949 plus 0.43014?\nAnswer: 9950416949.43014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -13, -0.03, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -12. Let a(m) = 40*m - 633. Let z be a(16). Suppose 0*c - 3*c - z = f, -f - c = y. Sort 2, f, 5 in decreasing order.\nAnswer: 5, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -21 - 11*o**2 + 35 + 11*o - 28 + 12*o**2 - o**3 + 9*o**2. Determine p(10).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(3\/(-4) - (16 - 165\/10)). Solve 5*b - 3*q + 1 = 0, a*b + q = 11*b - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 not equal to -45\/3979?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(4114) - ((sqrt(3400) - -1*sqrt(3400)) + sqrt(3400) + sqrt(34)))\/((sqrt(540)\/sqrt(10))\/(6*sqrt(6)\/sqrt(2))).\nAnswer: -84*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 657\/430 or 3?\nAnswer: 657\/430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 9*c**5 - 5*c**4 + 6*c**3 - 5*c**2 - 5*c + 5. Let i(k) = k**5 + k**3 - k**2 - k + 1. Let z(t) = -d(t) + 5*i(t). Let z(q) = 0. What is q?\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/27 and 2 + 78\/(-288)*(-12 - 2).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 - 89. Let r = s + 91. Is (-96)\/40*r\/2 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76 and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1643480?\nAnswer: 2, 5, 181, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 17. Let n(v) = -6*v - 10. Does 16 divide n(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0032449970601 to 7 decimal places.\nAnswer: 0.003245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*r = -11*r - 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - (41 - -1 - (-74 + 95))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*w + 8185 = -32*w - 5*z, 3*w - 4904 = -4*z. Let r = w - 1102. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -252 or 0.0407563?\nAnswer: 0.0407563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -21. Let o be (s\/14 - -3)\/(1\/2). Solve -o*z = 13 - 4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 7:06 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13714?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5214 - -5214.5. What is the nearest to -1\/2 in -2\/5, 4.3, 2\/5, f?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -5, 5, 36, -0.02 in ascending order.\nAnswer: -10, -5, -0.02, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 10*r**2 - 27*r - 16. What is the smallest common multiple of 126 and f(-8)?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -333 + 1202133223?\nAnswer: 1202132230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28264271.\nAnswer: 7, 193, 20921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**3\/2 - 9*n**2 + 18*n. Let o be t(7). Suppose o*b + 0*a - 1581 = 2*a, -b + 532 = a. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 0*z - 40 - 1\/2*z**2. Let c(b) = -b**2 + 38*b. What is w(c(t))?\nAnswer: t**2 - 38*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556378 is divided by 30886?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03508 and 12136.\nAnswer: -425.73088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 6)*12\/(-14). Let t(r) be the third derivative of r**5\/30 - r**4\/8 - 3*r**3 + 30*r**2. Does 36 divide t(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10\/(-8))\/5)\/(12\/16).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -10\/123?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 890*y = 949*y - 708. Solve y*p - l = 8*p - 7, 0 = -2*p - 5*l - 9 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11681 = -5*s - 51961. Let q = -177147\/22 - s. Find the common denominator of q and -31\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a4 + 149?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4125 + 0.0965. Let c = -6.8789 + 7.19289. Let r = c + z. What is r rounded to four dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o**6\/o))*(o\/(o*o**(11\/4)))\/o*(o**(-3))**(19\/6))**39 assuming o is positive.\nAnswer: o**(-1287\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/(-135)*-6)\/(-2))\/((-9)\/(-45)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 1559937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 2556 + 7547 = 0. Does 31 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4*(3 + -5 + (sqrt(19) - (sqrt(19)*4 + 2)))**2 + 5.\nAnswer: 96*sqrt(19) + 753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 2*r + 4. Let o(d) = 1. Let p(b) = c(b) + o(b). What is the units digit of p(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1780.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (114\/45)\/((-2068)\/(-15510)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = v - 5*s + 65, -v + s = -3. Suppose -o - v = -4*r, -5*r - 3 + 4 = -2*o. Suppose -98*x + 10 = -96*x. What is the remainder when o is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5*2*sqrt(5) + -6*(sqrt(80) + -2).\nAnswer: -14*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = z + 3*c + 9, -z - 2*c - 6 = 0. Suppose z = -5*i + 3*y - 15, 3*i - y = -3 - 2. Solve 3*w = -i*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + -30. Let k be -4 - h\/(-4) - -7. Solve k*l + 4*i + 12 + 4 = 0, 5*l + 20 = 3*i for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -1\/7330647 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -8, -5, 900, -4 in descending order.\nAnswer: 900, -4, -5, -8, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4642852 is divided by 2392?\nAnswer: 2372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0020444238 to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6830255 and 127555?\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 4*q = 0, 9*q + 8 = 3*y + 11*q for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 175, 4, -3, -1 in descending order.\nAnswer: 175, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 2 = -5*y - 7, -4*h + 3 = -3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6))**23\/((w*((w\/w**(1\/13))\/w)\/w)\/w*w*w**(4\/9)*w) assuming w is positive.\nAnswer: w**(-16306\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*l - 1754 = -230. Let i = 5 + 34. Calculate the highest common divisor of l and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 15 = -w - z, -2*w = 3*z - 21. Solve -w = -5*q - 11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4 + sqrt(19)*-1*-2)**2 + -3.\nAnswer: 16*sqrt(19) + 94","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) -3\/55 (b) 2\/3 (c) -1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3*z = -d, 5*d + 4*z = 0. Suppose t + d = 5. Calculate the greatest common factor of t and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -106 - 124 + g**3 + 0*g**3 + 3*g**4 + 21*g**2 + 227 as a*g + r*g**4 + k*g**2 + p + x*g**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 69935327556 + -0.371?\nAnswer: 69935327555.629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17971 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 23?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 192 and 144?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 18473, 5, 2, -2, 7 in increasing order.\nAnswer: -2, 2, 5, 7, 18473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3725*c - 42*c**2 - 3725*c - 5*c**3.\nAnswer: -5*c**3 - 42*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -791820*p - 791734*p + 1583718*p.\nAnswer: 164*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010646813 rounded to four dps?\nAnswer: -0.0106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + b + 63 = 8, -3*b = 4*m - 85. Let r = 121 - m. What is the greatest common factor of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1163.4761 to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 35 = 4*d. Calculate the highest common factor of 35 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112 - 10211130?\nAnswer: -10211302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86 - 85.6. Put 10\/9, z, -1, -5 in descending order.\nAnswer: 10\/9, z, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-81 - -67 - (-7 + 1)) + (27 - (-5 + 2))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-50)\/15*18\/(-15). What is the third derivative of 20*t**2 + 21*t**h + 6*t**4 - 396*t + 396*t wrt t?\nAnswer: 648*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 64 = 2*t. Let c be ((-2)\/t)\/(7\/(-21)). Let y be ((-12)\/(-9))\/(-4)*3. What is the nearest to 2 in c, y, -1\/8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11.0511 and -0.16?\nAnswer: 1.768176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 16, 29, 54, 97, 164, 261, 394?\n\"Answer: i**3 + 6*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 698905 or 698919?\nAnswer: 698905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -31, -40, -49, -58, -67?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 1\/4*u**4 - 1 + 0*u - 1\/3*u**3 + 0*u**2. Suppose o(j) = 0. What is j?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 11*g. Suppose -4*d - 20 = 0, 22 = 4*n - 3*d - 9. Let b(v) = -3*v**2 + n*v**2 + 2 - 2. What is b(z(i))?\nAnswer: 121*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = x - 374, -2*x - 5*m - 143 = -871. Let i be -4 - x\/10 - 12\/(-30). Sort i, 0, -1, 4 in increasing order.\nAnswer: i, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -0.5, 1\/178, 109, 4, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -1811 (c) -77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 142\/5 + (-4)\/10. Let r be -2*(0 + -2) + (-17)\/(-1). Calculate the smallest common multiple of 2 and r\/6*48\/m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 362\/11, 86, -2, -5\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 5*q + 144. Suppose q = -l + 5*l. What is the common denominator of -47\/2 and (-129)\/12 - l\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 - 26. Solve m*h - 5 = 7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 q, and 1 h when four letters picked without replacement from {y: 4, v: 1, h: 1, o: 6, q: 3, b: 3}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -39.5 in 0.4, -3\/8, -19, -1?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06654 - -0.02. Round v to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 6:27 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59107 is divided by 822.\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 8*v - 34. Calculate f(5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 375 divide 46274797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 679.9265896 + -1.9406296. Let a = -678 + f. Round a to three dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -705 + 35 = -134*u. Let p(z) be the third derivative of -1\/30*z**u - 1\/780*z**6 - 12\/13*z**3 + 0 - 42*z**2 - 4\/13*z**4 + 0*z. Factor p(h).\nAnswer: -2*(h + 1)*(h + 6)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/9)\/(w\/(w**(-1\/3)*w)*w))\/(w**(1\/6)*w**(2\/9)))**(-47) assuming w is positive.\nAnswer: w**(1645\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -0.095321?\nAnswer: -4.095321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 26*q + 27*q + 28*q - 77*q. Let f(l) = -28*l**2. Give f(c(y)).\nAnswer: -448*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 10:28 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - h = 216, -116*q + 111*q = -5*h - 180. Let f(g) = -8*g**3 + 5*g**2 + 3*g + 5. Let s be f(-4). What is the greatest common divisor of q and s?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s - 23 + 67 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 2 = -4*m - 4, -4*m + 4 = -4*a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 + 40244435?\nAnswer: 40244421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 0*j**3 + 0*j + 1\/12*j**4 + 0 - j**2. Let x(w) = w**2. Calculate x(r(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49052203?\nAnswer: 227, 281, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -73, -116?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -1 (b) 2\/9 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/2)\/(8\/64*-2). Let g(u) = k*u - 309 + 309. Let b(f) = -f. Determine 5*b(s) + g(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -110*m. Let s(v) = -2*v - 6. Let l(o) = -1. Let j(i) = -6*l(i) + s(i). Calculate j(g(h)).\nAnswer: 220*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 120923 divided by 16?\nAnswer: 120923\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*h + 7049938 = 7047126 for h.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9 - ((-3)\/2)\/((-606)\/1212). Let g = 2 - 1.9. Let l = g + -0.1. Which is the nearest to l? (a) -2\/5 (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p - 9. Let n be v(-9). Suppose n = -2*t - 12 + 48. Suppose -t = -2*d - 0*d. Calculate the highest common factor of d and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vuv when three letters picked without replacement from vvuu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z - 22. Let w be k(-17). Sort w, -20, 2 in decreasing order.\nAnswer: 2, w, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112168516 is divided by 332.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*x + 109795 = 78*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-5) - 30\/(-75). Let h be (w + -2)\/(10\/(-895)). Suppose k = 3*c - h, -4*k - 6 = -4*c + 246. What is the least common multiple of 8 and c?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 468609544?\nAnswer: 2, 13, 23, 195907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 38 - 30 = 0. Let j be ((-1360)\/(-12))\/(-10)*-12. Calculate the greatest common divisor of c and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 394*l = 396*l + 6, 0 = 3*d + 5*l - 27 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1763*x**5 + 7*x**4 + 160*x**3 - 10974104*x**2 wrt x?\nAnswer: -105780*x**2 + 168*x + 960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00019453 rounded to 6 decimal places?\nAnswer: -0.000195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -41343 + -35?\nAnswer: -41411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79325?\nAnswer: 5, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40668242?\nAnswer: 2, 20334121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*s - 14. Suppose -24 = -s*h - 4. Suppose -5*q = h*j - 60, j - 11 - 3 = q. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*l - 22 = 0, 0*o + 4*o - 31 = -l. Let r(b) = 13*b + 1. Let j be r(1). Let u = j + o. What is the highest common factor of u and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 21 = 2*j, j - 2*s = 3*s - 17. Let g = j - 6. Suppose -4 = g*h + 4*u, h = 5*h + 2*u - 16. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -29, -9, 37, 121, 255?\n\"Answer: 2*s**3 + s**2 + 3*s - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 413 + -2068\/5. What is the closest to 2\/3 in t, -1\/4, -1\/2, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 279 + -278.476. Let x = c - 0.024. Let d be (3\/(-27))\/((-2)\/(-2)). Sort d, x, 3 in descending order.\nAnswer: 3, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**5\/30 + 17*k**4\/12 - 38*k**3\/3 + 83*k**2\/2 + 73*k. Let g(w) be the first derivative of m(w). Factor g(i).\nAnswer: 2*(i - 2)*(i + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 5*p - 560 + 550, -3*z + 4*p - 8 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 865, 853, 819, 751, 637?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 179 - 723. Suppose -2*h + 83 = -5*w, h + 3*h - t = 4*w. List the prime factors of h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 0.3 (b) 1\/4 (c) 120 (d) -5 (e) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6, 141, 362, 681, 1110, 1661?\n\"Answer: 2*y**3 + 31*y**2 + 28*y - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2699 is divided by 895?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 23073\/(-2)*19\/(-171). Let q = -884 + -393. Let c = q + r. Find the common denominator of c and -11\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 3*v + 87. Let x be g(0). Solve 73*y = x*y + 112 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h + 2. Suppose 0 = 2*j - 38. Let l = 17 - j. Give x(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 k when two letters picked without replacement from rkkrvnjbnrrb?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4369991271 to the power of 1\/2, to the nearest integer?\nAnswer: 66106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10713, -21504, -32311, -43134, -53973, -64828, -75699?\n\"Answer: -8*p**2 - 10767*p + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 102743106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - 5*(sqrt(245))**2) + ((sqrt(35) + sqrt(70)\/sqrt(2))\/sqrt(7))**2.\nAnswer: -1205 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*b*b*b*b\/b**(6\/7)*b)))**27\/(b\/(b*b*b*b*b*((b\/(b**7\/b))\/b)\/b*b*b*b*b))**(-1\/3) assuming b is positive.\nAnswer: b**(2909\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -1. Let r(y) be the third derivative of y**4\/6 - 5*y**3\/3 - 9*y**2. Let b = 187 + -188. What is b*r(c) + 10*z(c)?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 768649 is divided by 767418?\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 4*j - 10*j)*((-2 - 11 + 7)*(2 - 1 + 1) + 11 + 4 - 2).\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -20*b - 985. What is n(-49)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - g**2 + 2*g + 3. Suppose -43*c + 157*c = 192 + 36. Calculate w(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 78*a*c**2*z + 19*a*c*z - 1949*c**2*z + 720*c*z - 5*c wrt c?\nAnswer: 156*a*z - 3898*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*u = -30, 0 = -2*m - 0*m + 2*u. Let o(x) = -x**3 + 4*x**2 + 5*x + 3. Is 3 a factor of o(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32 + 144?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 515.4525ug?\nAnswer: 0.5154525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -848*w**2 - 4*w + 206*w**2 + 222*w**2 + 241*w**2 + w + 226*w**2.\nAnswer: 47*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (175\/105)\/((70\/12)\/7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13936080466 + -13936066693.9160076. Let j = 13762.884 - x. Let y = j + 9.2. Round y to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 576?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*-6*6\/(-54)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8937?\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10282 and 6790.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(-2)\/4*-2. Suppose r = -b*r + 17. Let t = 28 - r. What is the greatest common factor of 44 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 382744 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 339848426 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*l - 20 = 51*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 r when four letters picked without replacement from {t: 2, r: 9}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of l**6\/12 - 3*l**5\/2 + 37*l**4\/4 - 82*l**3\/3 + 42*l**2 - 32*l - 72. Factor x(s).\nAnswer: (s - 8)*(s - 2)**3*(s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.403 - -1.48. Let k = h + -0.0770155. What is k rounded to six decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + -34. Suppose w*h = 16 + 11. Calculate the remainder when 34 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 p when four letters picked without replacement from ttttttttttttttttptt.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f**3 + 44*f**2 - 40*f = 0. Calculate f.\nAnswer: 0, 5\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*g = -4, -24 = -2*w - 5*g. What is the units digit of (3\/(-4) + w)*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(((0 + sqrt(720) - sqrt(720)) + 3 - (3*((-2*sqrt(720) + sqrt(720) - sqrt(720)) + sqrt(720)) - sqrt(720))) + -5))**2.\nAnswer: -192*sqrt(5) + 11524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2788 - -2825. Solve -10*c = f - 17 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 449*s**3 - 3*s + 6890*s**3 - 132*s**3 + 3*s.\nAnswer: 7207*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p + 2. Suppose -25*i = 4*z - 22*i + 6, 8 = z - 4*i. Let r(b) = 1 - 5*b + z + 4*b - 4*b. What is -3*d(v) + 4*r(v)?\nAnswer: -5*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/w**(-3\/8))*(w*w*w*w**5)\/w*(w**(2\/3)\/w)**(35\/4) assuming w is positive.\nAnswer: w**(89\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 447905092?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 119 + -92. Calculate the greatest common divisor of x and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 43081210 and 730190?\nAnswer: 43081210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + d + 5. Let o = -5234 + 5231. Let f(r) = -2*r**2 + 2*r + 6. Give o*g(l) + 2*f(l).\nAnswer: -l**2 + l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4327 - 4328. Sort 5, -42, d, 0, -4 in descending order.\nAnswer: 5, 0, d, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of t**4\/12 - 5*t**3\/6 + t**2 - 3*t. Let r be g(5). Let k = r + 2. Is k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 4*m = m + 6, 0 = -5*o + 2*m - 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 112\/(-52) - -10 - 8.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/14 - 2)*(-2)\/(-2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n, -5*n = -10*h - 6*h - 2*n + 196 - 36 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 + 63 = -13*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 28, 15, 0, -5, 12?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113455123*z - 4 + 113455117*z + 4.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 810 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 118873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(931) - (((sqrt(931)*2)**2 - sqrt(931)) + sqrt(931)))*1*-3 + 0).\nAnswer: -126*sqrt(19) + 67032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*b = -70*b - 1062. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40398 is divided by 34975?\nAnswer: 5423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = h + 2*q - 36, -5*h + 2*q = -204. Let x be (h\/14)\/(1\/7). Solve -x = 5*z - 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337*j = 4*j + 7659 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*h - 23, 5*h + 3*b - 19 - 3 = 0. Find the third derivative of 0*p**2 + p**2 + h*p**2 + 2*p**5 wrt p.\nAnswer: 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 376.5 + -376. Let p = 45\/4 + -217\/20. Sort a, p, 5, 4 in increasing order.\nAnswer: p, a, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19280.2999 + -19298.3. Let o = -14.93 - 3.07. Let x = p - o. What is x rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) 8 (b) 0 (c) -5 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 79174404*u**3 - 79245588*u**2 + 71200*u - 16 = 0.\nAnswer: 2\/4449, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -8 + -7 + 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 468815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 427*k - 431*k + 5 = -3*l, -3*k + 9 = 3*l. Solve 0 = n - k*t + 3, 16 = 3*n - 2*t + 17 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 4*q - 6, -2*q + 2*j = -5 + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 168308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2512 + -2?\nAnswer: 2510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*h = 143*h + 49*t + 199, -21*h - 205 = -16*h - 5*t for h.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*f + 2*m, 3*f - m + 2 = m. Is (-2)\/f*(22 - -10) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and 17?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318 is divided by 34.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*t**4 - 5485*t**3 - 37790*t**2 - 41045*t + 84300 = 0. Calculate t.\nAnswer: -4, -15\/4, 1, 281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -101299980 rounded to the nearest 1000000?\nAnswer: -101000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 12. Let s be i(-8). Suppose -s*d = -o - 57 - 35, 5*o = 4*d - 76. Let z = d + -11. Solve -5*v + 7 = -z for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0*i = -5*d + 41, -27 = i + 5*d. Let m = i - -41\/2. Find the common denominator of m and 41\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74100 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -159 (b) 1 (c) 0 (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127401007 is divided by 237?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 242186 to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27297*o**3 + 54619*o**3 - 27325*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2012 - 326?\nAnswer: -2341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16993 = 74*o - 134263. List the prime factors of o.\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7574 rounded to 1 decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.354 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**2. Let a(j) = j + 1. Let g(x) = -x + 5 - 12 + 3. Suppose 8*k - 3*k = 20. Let z(l) = k*a(l) + g(l). Calculate z(w(f)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.02 + -2.02. Let o = -0.07 + -0.13. What is the biggest value in o, w, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23402559 rounded to the nearest 100000?\nAnswer: 23400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 10*m**2 + 6*m - 18. Let v be r(-9). Solve -4*z + y = -3, -5*y = -2*y + v for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6896.317 millilitres in litres?\nAnswer: 6.896317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 19\/105905?\nAnswer: 19\/105905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 748 and 2216.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 - 27. Let s(c) be the third derivative of -1\/280*c**7 + 0 + 0*c - 2*c**2 - 1\/80*c**k + 0*c**3 - 1\/80*c**6 + 0*c**4. Suppose s(z) = 0. Calculate z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 41 + 10*j - 14*j)*(27 + 28*j - 27).\nAnswer: 28*j**2 - 1148*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 25*k**2 - 41*k + 26. Let h be r(27). Suppose -5*n = -j - 401, h - 138 = 3*n - j. Does 27 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -2)*(10\/(-4) - -2). Is o > 12\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*d = d - 38, 4*j = -4*d + 32. Suppose 9*u - j*u = -4*i + 3584, -2*u - 2*i = -3590. Is 16 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*z**4 + 1026*z**3 + 77449*z**2.\nAnswer: -168*z + 6156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1484, 6047, 13646, 24275, 37928, 54599, 74282, 96971?\nAnswer: 122660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q = -0*q + 120. Suppose -3*u = q*u - 5456. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q + 15*q = -18*q + 290048. What is the thousands digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41042 (base 7) in base 9?\nAnswer: 14615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gtigggiitttiiiiiiiii. What is prob of picking 1 i and 3 g?\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**3*m**4 + 45*h**3*m - 51*h**3 + h with respect to m.\nAnswer: 4*h**3*m**3 + 45*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(660)\/(3*sqrt(12)) + 2*sqrt(880))\/(-3*(sqrt(360) + sqrt(360)*1 + sqrt(360))\/sqrt(8)))**2.\nAnswer: 6875\/6561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t + 2. Suppose -51*c + 57*c = -18. Let k(m) = -2*m + 2. Calculate c*z(q) + 2*k(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(6\/(-24) + 0). Calculate the highest common factor of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (538\/(-3))\/((-114)\/(-171)). Suppose -u + g - 2163 = -5*u, 5*u + 2*g - 2706 = 0. Let w = k + u. List the prime factors of w.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2)*p**(-2\/77)*(p\/p**(-23))**(3\/8) assuming p is positive.\nAnswer: p**(537\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -4*r - r + 6, -4*n + 4*r - 8 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 10) to base 2\nAnswer: 101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 875 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -394 = 4*y - 410. What is the greatest common factor of y and 404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-35)*33040\/224\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l\/(l*(l\/(l*l\/(l**2\/l*l)*l*l))\/l))\/l)\/l)\/(l\/(l**(-5)*l))*((l\/(l*l*l**2*l*l))\/l)**(-46))**(2\/63) assuming l is positive.\nAnswer: l**(544\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - ((3 - 4) + -23). Let r = 23 - w. Suppose 0*o - 74 = -4*a - r*o, 4*o + 8 = 0. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s + 4 - 2*s - 1. Let w(a) be the third derivative of a**4\/12 - a**3\/2 - 6*a**2. Let v(n) = 6*m(n) + 7*w(n). Differentiate v(c) wrt c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzhvzzzmzmzzzvvzzzv. Give prob of sequence zm.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**2 - 20*v + 20*v - 2*v**2 + v**2 - v**2 + (-2*v + 0*v + 0*v)*(2*v - 2*v + v) + 0*v + 3*v**2 + 0*v.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k**2 - 30*k + 109. Let l(q) = -3*q**2 - 20*q + 110. Let o(d) = -3*l(d) + 2*y(d). Let r(x) = -2*x. Determine r(o(z)).\nAnswer: -2*z**2 + 224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 - 22. Let b = w - -2. Solve -5*n - 4*d + 3*d + 9 = 0, -n + 13 = b*d for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + d = 17, -d + 14 = 3*y + 1. Suppose -2*v - v + 3*f = -222, -65 = -v + y*f. Let z = v + -2. Is z a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 5 = 5*n, -5*n + 8907*g = 8908*g + 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -22, -23, -10, 23, 82, 173?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 0*c**3 + 0 + 16*c**2 + 0*c**4 - 1\/40*c**5 - 1\/280*c**7 + 0*c + 3\/160*c**6. Factor o(i).\nAnswer: -3*i**2*(i - 2)*(i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/1 + -3*(-2)\/2. Let d(v) = -v**3 + h*v**2 - 5*v - 33 + 24 + v. Is d(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*y - 4*l, 2*y - 11 = l + 4*l. Suppose 0*i = i + y. Is 300\/28 + i\/(-28) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2 + 3 - 9*r + 0*r**2 + 0 + r**2. Let v be d(9). Solve 3 - 13 = -v*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18940 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -24*39\/(-6)*(-64)\/(-24). Suppose -6*p + 22*p = t. Suppose -33*g = -p*g - 231. Is g a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -645 + 1243. Calculate the highest common factor of b and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2607, 1\/16, -30, -2\/15 in decreasing order.\nAnswer: 1\/16, -2\/15, -30, -2607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d - d - 147766 - 170590.\nAnswer: 2*d - 318356","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 134594 = -h, 3*h + 0*q = 2*q + 403790. Let l = h + -12598. Round l to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9d4d - -5?\nAnswer: -9d48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 5*a - 14. Suppose 23*g - 30*g = 49. Let r be o(g). Suppose -2*q - 825 = -5*k - 5*q, r = -2*k - 2*q + 326. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12405.1 + 12405.09817498. Round d to four dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i + 1. Let a be s(-1). Suppose 4*l + 2*u = 16, -5*l + 19 + 0 = 2*u. Suppose -4*d + d = -l. Solve a = -3*z - d + 10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 643 - 1. Let h = 310 - 307. Suppose 6*o - o + y - w = 0, 3*o - h*y - 378 = 0. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 4 = -2*v, 2 = 2*y + 446*v - 442*v for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xek when three letters picked without replacement from {s: 3, x: 2, r: 3, k: 9, e: 1, v: 1}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/21)\/(16\/(-36)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sfrox. Give prob of sequence xrs.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f**4*t**2 + 11*f**3*t**3 + 102*f**3 + 3256*f**2*t**3 - 5*f**2*t wrt f.\nAnswer: -72*f*t**2 + 66*t**3 + 612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 564, -3 in increasing order.\nAnswer: -3, 8, 564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.47 - -0.07. What is the smallest value in 1, 2\/23, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 0*w - 36 - 4*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.138 or 1.1?\nAnswer: 0.138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 94 = 5*g. Let r(j) = -j - 20 + g. Let l(b) = 2*b. Determine r(l(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -12, 6, -1 in descending order.\nAnswer: 6, 4, -1, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -216*l + 485 - 269 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 2\/2691?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 11*s**2 + 23*s + 120. Calculate p(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.023 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 83887 (base 12) in base 3?\nAnswer: 22202101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 303393936 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 92640132 divided by 23160033?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 35.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9466782, -37867122, -85201020, -151468476?\nAnswer: -236669490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -451 at most as big as -4.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2125 or -295515\/139?\nAnswer: -295515\/139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -15*q**2 + 2. Let t(i) = 348*i. Calculate a(t(j)).\nAnswer: -1816560*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12418 to the power of 1\/2, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3226423*d**6 - 1850330*d**2.\nAnswer: 387170760*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 2. Suppose a*l = 57 - 7. What is the lowest common multiple of l and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2016.875 seconds in nanoseconds?\nAnswer: 2016875000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(140\/(-32))*(-9744)\/20416.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 304 + 10045?\nAnswer: 10353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) -2\/7 (b) 0.9 (c) -55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1826.2 take away 3?\nAnswer: 1823.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-8) - 14*2\/112?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1051753311.\nAnswer: 3, 7, 16694497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 91471 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.8 (b) 0.49 (c) -5\/299\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 3)*(46 - 4*x**3 + 2*x**2 - 46) + (3*x**3 - 4*x**3 + 0*x**3)*(-5 + 1 + 5) in the form y*x**3 + j + u*x + z*x**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1607610 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*n**3*q - n**3*x**2*z + 95*n**3*x**2 + 2*n**2*q*x*z + 8*n**2*x**2*z - 9*n*q*z + 2*q wrt n.\nAnswer: 18*q - 6*x**2*z + 570*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014046995 rounded to 4 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l**2 + 2*l + 9. Let k be g(-7). Suppose 3*p = -12, 5*v + 5*p - k = -0*p. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -220*s + 593. Let f(o) = 109*o - 295. Let t(w) = 5*f(w) + 2*x(w). List the prime factors of t(12).\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*g + 2*g + 4*g)*(1 - 2 - 1).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 1\/4, -6\/13 in descending order.\nAnswer: 5, 4, 1\/4, -6\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43 and 44782823.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -39*w + 1. Let s be o(1). Let a = -22 - s. Is a a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t - 20834 = 7467. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12274 - 36*c**3 + 12279 - 192*c**3 + 263*c - 24550 wrt c?\nAnswer: -1368*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -6*c - 49. Let t(b) = -b**2 - 5*b - 3*b - 3*b - 9. Does 5 divide t(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1663, 26, -66, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*g + 0*g + 600 = 71*g for g.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 106*h + 1848. What is the remainder when w(-19) is divided by 54?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -169 - -225. Let g = -104 - -45. Let s = g + h. What is the second smallest value in 0.1, s, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -31\/2. What is the closest to f in 0.2, 2, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 - 2*b. Let o(t) = -22*t - 253. Let s be o(-12). Let x(l) = -5*l**2 + 5*l. What is s*h(p) + 4*x(p)?\nAnswer: 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -4.9. What is the closest to m in 2\/7, 0.5, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y - 2. Let q be p(3). Which is bigger: q or -2\/33?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9596 + 9599. What is the third biggest value in -1\/15, 2, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 231 and 14718.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77906737.\nAnswer: 77906737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*s - 249*s**2 + 244*s**2 + 9 - 3*s)*(-9*s - s + 3*s) to y + d*s + k*s**2 + r*s**3 and give d.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 bigger than 57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 37939, 66962, 95985?\n\"Answer: 29023*o + 8916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 smaller than 60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 15. Does 2 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -2. Let t(g) = -11*g - 451. Let a be t(-41). Solve a*d = d + u for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 - 12*k**3 + k**2 + 17*k**3 - 2*k**2 + 43*k.\nAnswer: 3*k**3 - k**2 + 43*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 34\/(-4) + 3\/(-2). Let f = -2 - p. Put -5, f, 3 in ascending order.\nAnswer: -5, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 304073 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 4*b + 3*b)*(-4 + 3 + 10)*(0 + 0 + 2).\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 34*o**2 - 3*o + 57. Let s be n(34). Which is the second biggest value? (a) s (b) -1\/4 (c) 0.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15745563)\/(-108)*-30*(-2)\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55343.24 litres to millilitres.\nAnswer: 55343240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/72 - 3869998\/(-9). Round d to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(1680\/45)*(-2)\/(-1)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 17*q = 132. Is q smaller than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232 = 11*q - 40*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4 + 19. Let i be (-4)\/(-10) + (-8)\/l. Suppose -5*s = -i*s - 3. Calculate the remainder when 2 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 428427, 856873, 1285339, 1713825, 2142331?\n\"Answer: 10*s**2 + 428416*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 + 2.6. Let y = 2.4 - 0.4. Let q = y - x. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 400.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2180060.\nAnswer: 2, 5, 19, 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 10*r + 4. Let p be o(10). Suppose -5*m - 48 = -m. Let t = m + 18. Solve p*f + t = 26 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2165820?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 12:41 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1, -2, -2\/55, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -64194, 4, -5 in decreasing order.\nAnswer: 4, -5, -64194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 4*o - 7, 4*i + 37*o - 38*o + 18 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62 + 62 + 3*w**2)*(0*w**2 - 5*w**2 + 3*w**2).\nAnswer: -6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5211, 11000, 17387, 24384, 32003?\n\"Answer: 2*w**3 + 287*w**2 + 4914*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 22\/5, -0.5, 93145 in decreasing order.\nAnswer: 93145, 22\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minus -1.801?\nAnswer: 550.801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.0996 and -77 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + (-88)\/8 - 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, -93, 2, 7, 0, -3, -0.14?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/1903?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 145 - 41 + 1 - 578*x. Is j(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -88\/35 (c) 12 (d) 0.4 (e) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1320, 1318, 1316, 1314?\n\"Answer: -2*o + 1322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3625 (base 14) to base 10.\nAnswer: -9441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*v**3 - 8 - 57*v**3 + 15 + 8 with respect to v.\nAnswer: -129*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-1 + sqrt(17))*4 + (-3 + sqrt(102)\/sqrt(6) - sqrt(17)))**2.\nAnswer: -1605 + 280*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*m + 8 = 64*m. Let u = -0.6 - -0.3. Let v = u - -0.2. Which is the closest to v? (a) m (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 9 - 29. Suppose -1 = -m + t. What is the tens digit of (-158)\/(-4) + m\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.51 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2*l - 11, 3*p - 13 = -0*p + l. Suppose -p*a + 12 = -15. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 8:04 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = g - 4. Let d be 5 + -2 + (-1 - g). Solve d = p + 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 2*q**2 + q + 1. Let d be x(2). Suppose -3*b = -5*w + 19, -3*b - w - 4 = d. Sort 0, -1, b.\nAnswer: b, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5303 by 656.\nAnswer: 5303\/656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-2\/9))**(-1)*c**13\/c**(-12))**(21\/2) assuming c is positive.\nAnswer: c**(1463\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -14*y + 144. Determine a(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-80)\/(-6)*((-333)\/36*-114 + 9).\nAnswer: 2, 5, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 3*k - 84, -z + 24 = -k + 28. Let t(y) = -2*y**2 - 8*y + 195. Determine t(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 17 = -4*g + 11, 4*g + 2*d = 24. Let h(t) = 8*t + 9. Does 14 divide h(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*i + 2*i. Let t(f) be the first derivative of f**2 + 56*f - 1. Let r be t(i). Calculate the highest common divisor of r and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2*1)\/((-426)\/(-144) + -3). Suppose -l*g + 49*g = 15. Solve a - 5*j = -g, 2*j = a + 3*j - 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of l**2\/2 - 3*l + 2. Let j(w) = -2*w - 50. Let u be j(-26). Let t be -7 - (-12 - 7) - u*2. Give g(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 = -2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -379976773*k - 301292071 with respect to k.\nAnswer: -379976773","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 - 60*w + 282. Let v be m(-34). Solve 8 = 2*s - 4*i, -5*s + v = -5*i - 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) -2\/35 (b) -2\/3 (c) -14 (d) -0.2 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l + 7*l - 2*l.\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*h + 48*h + 4641 = 44756. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*m = 5*m + 72. Suppose -12 = -3*c, 2*g + m*c = -g + 259. What is the highest common divisor of 9 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -10)\/(-2*(-1)\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99\/5358515 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 74952*o*z**2 + 340194*z**2 with respect to o.\nAnswer: 74952*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 12. Let f be d\/(9\/(-3))*1. Let a = f - -4. Solve -y - 3*i + a = -9, 5*i - 5 = y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 (base 8) in base 13?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate r*u - 8465851*r - 28862106*u wrt u.\nAnswer: r - 28862106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48 + -189\/4. Let y(c) = 5*c**2 + 23*c + 9. Let j be y(-4). Sort b, -2\/15, j in ascending order.\nAnswer: j, -2\/15, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + -1 - (8 - 9). Let l = 4 + w. Solve 15 = 3*z - l*z, 5*s - 15 = -z for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*p + 2*p - 252. Suppose p - 70 = -13*j. Solve -j*f + a - 4 = 3, 5*a + 28 = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m - 1. Let v = -63 + 31. Let r = -10 - v. Let g = r - 19. What is u(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, x: 4, e: 2, f: 1}. Give prob of picking 1 f, 1 e, and 1 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 divided by -2?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/3 + 1267840*d\/3 - 3803493.\nAnswer: -(d - 1267831)*(d - 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*53\nAnswer: 5.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - -18) + -25 + 2 + -17?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 + -35. Suppose 4*x = 4 + k. What is the remainder when 14 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2780463 and 34954392?\nAnswer: 244680744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 23*a**2 - 26*a. Let h(t) = -3*t - 603. What is z(h(m))?\nAnswer: 207*m**2 + 83292*m + 8378685","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*j**3 - 3*j**4 + 19*j**2 + j**4 - 2 - 18*j**2 as l*j + k*j**3 + y*j**4 + q*j**2 + h and give k.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 48*w = 39*w - 73*w - 116, 5*m - 2*w = -43 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14294 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*w + 38, q + 11607*w - 1 = 11609*w for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4342120 - -114?\nAnswer: -4342001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 2:34 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12305236*l**3 - 39581670?\nAnswer: 36915708*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 140 = 146, -5*b - 3*c + 149 = 0. Solve -10*y = 4*y - b for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -5. Suppose -2*j - 2*j + 5*r + 94 = d, -5*r = -10. Suppose 0 = 2*y - j - 20. Calculate the remainder when y is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.25 + 1.15. Let p = 0.4 - t. Let y = p - -10.999975. What is y rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 4*p - 5. Let x(k) = -3*k - 1. Let r be x(1). Let y be g(r). Let m(s) be the third derivative of s**5\/60 + 5*s**4\/24 - 3*s**2. Give m(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*n - 36, -5*s + 3*s - 8 = 4*n. Suppose -y + 2*b = -2, 3*b = s*y - b - 24. Let f = 48\/5 - y. Is f less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 - 9*o + 5. Let z(m) = -3*m**2 + 14*m - 8. Let n(w) = 8*v(w) + 5*z(w). What is the second derivative of n(p) wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -9*h. Let u(x) = -5*x**2 - 1015*x. Give g(u(v)).\nAnswer: 45*v**2 + 9135*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*d**2 - 178*d wrt d.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 117 + 94. Suppose 65 + n = 4*i. List the prime factors of i.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) - (5*(sqrt(8) - sqrt(72)) + sqrt(8)) - ((sqrt(968) + -1 + sqrt(968))**2 + sqrt(968))) + 5)*-2.\nAnswer: -172*sqrt(2) + 7736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -4, 98\/15959, -1\/3 in decreasing order.\nAnswer: 3, 98\/15959, -1\/3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5489208 and 326592.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 10*t - 12. Let d be m(-9). Suppose 8 = -3*y - u - 9, -2*y + 5*u - 17 = 0. Put y, 5, d in increasing order.\nAnswer: y, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*u + 30 + 108. Let s(n) = 4*n - n - 2735 - u*n**2 + 2732 + n**3 - n. What is s(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327776656 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nineteen quarters of a century?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -981, -1867, -2739, -3591, -4417, -5211, -5967, -6679?\n\"Answer: t**3 + t**2 - 896*t - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/51*(-1620)\/(-270)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 34*l - 70. What are the prime factors of h(7)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wgy when three letters picked without replacement from {y: 5, w: 3, g: 8}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9, -42, -93, -162?\n\"Answer: -9*o**2 - 6*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -6. Let r = -7287 + 7296. Solve u = -v*u + r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(-2*g - g - g)*(2 - 3*g - 2).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32199870 and 13566?\nAnswer: 225399090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -259*u + 252*u + 4333. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 - 3*o**2 - 4 - 3*o**2 - o**3. What is c(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 - -20112?\nAnswer: 20221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 59*n**3 - 50*n**3.\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2464109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12 + 3)\/(-18 - -15). What is the fourth smallest value in 2\/3, 0, 0.02, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8 + 9)\/(-2))\/((-4)\/16). Suppose -2*n + 303 = 5*o, -4 = v*o + 2*o. List the prime factors of n.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14226511.\nAnswer: 13, 139, 7873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from igifggiffgzzgfzi.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10311 (base 4) to base 3.\nAnswer: 102110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 13*j**2 - 5*j - 29. Determine s(13).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zassraaaiwwwsaawrzwr. What is prob of picking 1 s, 2 r, and 1 z?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -2. Let v = 14737\/8 + -1842. Sort v, u, 4, -1 in descending order.\nAnswer: 4, v, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -13. Calculate the common denominator of 99\/(-10) - (-3)\/v and -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wz when two letters picked without replacement from wththtwtzczdtwz.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u + 5. Let p be -3*2\/3*1. Let a(z) = -8 - 10519*z + 31560*z - 3 - 10519*z - 10526*z. Give p*a(l) - 5*y(l).\nAnswer: -2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 69 + 9*i + i - 49 - 6*i in the form v*i + z and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 3059 = -3049 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 29*t - 38. Calculate m(-10).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - (-2)\/(-3)*3. Let s(z) = 5*z - 4. Let u(q) = -16 + 7 - 3 + 5 + 9*q + 0. Suppose 2*a - 3*a + 13 = w, 25 = 3*a - 4*w. Give a*s(v) + n*u(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 1 = 11. Let w be (-6)\/(y\/(-2)*-1) - 0. Let d = 14 - 22. Sort w, d, 1.\nAnswer: d, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 256621*f**3 - f**2 - f + 2171267.\nAnswer: 769863*f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3442528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -24. Let r(i) = i + 6. Give r(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 8)*(-4*q + q + q) - 2*q - 2*q + 2*q + (1 - 2 + 0)*(-7*q + q + 4*q) + 2*q + 5 - 5 + 2 - 2 - q.\nAnswer: -21*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135, 267, 399?\nAnswer: 531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 16 = -3*r, 0*r = r. Let m(n) = -n + 11. What is the units digit of m(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/5 and -43\/50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 60433296817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4813 - 7.9737. Round h to one decimal place.\nAnswer: -8.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 2, 0*w = -3*w + 5*o - 22. Let m(h) = -5*h - 9. Calculate the remainder when m(w) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*a = -244, -3*f - a = -6*f + 203. Let t = f - 67. Let x(j) = -66*j**3 - 2*j - 1. Calculate the remainder when x(t) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -308 divided by 1094?\nAnswer: -154\/547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 5. Let h = 127 + -124. Let p = h + 4. Solve 2*x + 4 = -j*x - 4*f, -3*f - p = 2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 3. Let y = -2 - i. Calculate the common denominator of (-145)\/((0 - -36)\/y) and 51\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10284, 85327, 289886, 688719, 1346584, 2328239, 3698442, 5521951?\nAnswer: 7863524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3045966237+-60\nAnswer: 3045966177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2598\/(-4)*(367 - 0)*-10. Let c = -1373665 + i. What is c rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0700392 - -0.07. Round c to six dps.\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 9405 = w. Let d = -3238 - -1914. Let i = w + d. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -0.2028?\nAnswer: -0.2028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -3. Let y = -1.8 + l. Let t be 120\/(-10) + 4 + 10. Sort t, -2, y, -2\/13.\nAnswer: -2, -2\/13, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 6*y**2 - y + 6. Let c be h(-7). Let p = c + 46. Suppose 0 = 7*z - 9*z + p. Solve 3*n = z*n - 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216272071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 877.664 minutes to nanoseconds.\nAnswer: 52659840000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -81 - -87. Put 4, q, -4, -2 in descending order.\nAnswer: q, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 2:53 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2006 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 29. Let z = p + 15. Let f be -2*z\/8*5. Are f and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223192?\nAnswer: 2, 23, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.073 times -201?\nAnswer: 14.673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 0 - 3)*(-2 - c + 2)*(7 - 12 - 2).\nAnswer: -84*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - (sqrt(209) - -5*sqrt(209)*4) - sqrt(209))\/((sqrt(99)\/sqrt(9) - sqrt(11) - sqrt(11))*6).\nAnswer: 7*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -53274 divided by 22\nAnswer: -26637\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-8)*b*b*b\/(b*(b\/(b**(-4\/5)*b))\/b))\/(b*b**(2\/3)*b**18*b) assuming b is positive.\nAnswer: b**(-397\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2385398)\/8)\/(3\/(-12)). Let f = p + -1792699. What is f rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 23 = 35. Let c be (8 - y - (1 - 4)) + 3. Put c, -77, 5 in descending order.\nAnswer: 5, c, -77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 9*n - 4*n. Suppose 3*h - 38 = n. Let y = -7 + h. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 528 divide 201168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*1*1*(sqrt(24) - sqrt(2904)*-2)\/(sqrt(392)*-2).\nAnswer: 46*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -19*a**2 + 4*a + 12. Let o(r) = -7*r**2 - 4*r + 1. Determine f(n) - 3*o(n).\nAnswer: 2*n**2 + 16*n + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4 = -j + 2*m, 14 = 4*j - 2*m. Suppose -j*a + 324 = -a. Let -21*c - 153*c**2 + 6 - 63*c - a*c**3 - 6 - 12 = 0. Calculate c.\nAnswer: -1, -2\/3, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76 + -45. Solve -4*m + u - 18 = -m, -5*m + 2*u = v for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 8*m - 3. Let t be 4 - (2 - 0) - -33. Suppose 5 - t = 5*l. Calculate x(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -16. Suppose 3*c = s - 1. Let n be -1*(-5)\/c*2. Let z(o) = o**2 - 4*o. Determine z(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*n + 275, -9*n + 4*n + 390 = 4*h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1120)\/640*(-4)\/(-5).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/((-21)\/18) + -1. Suppose -v*s + 2 = -4*s. Suppose -i = 2*c - 24, s*c + 4*i - 24 = -0*i. Calculate the remainder when c is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120*(8586\/(-540))\/53\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 582108295 by -116421659.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**2 + 235*t - 588. Is 14 a factor of i(-147)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**2 + 5*t - 9. List the prime factors of w(-7).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92145.\nAnswer: 3, 5, 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(5600))\/(sqrt(88)\/sqrt(44)) + -1)**2.\nAnswer: 80*sqrt(7) + 11201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 109663132 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/(u**(-14)\/u*u*u)*u**24)\/(u**(-24)\/u)**(-21) assuming u is positive.\nAnswer: u**(-485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1710*b*m*q**2 + 2596*b*m*q + 3643*b*q**2 - 1011*b*q - m*q wrt q?\nAnswer: 3420*b*m + 7286*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/6)\/((-2)\/8). Let o be -4*1795\/(-30) - b\/(-6). Suppose -5*p - m + o + 74 = 0, 3*p = m + 183. List the prime factors of p.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r. Let f(m) be the third derivative of 0*m**3 - 13\/24*m**4 + 0 - 2*m**2 + m. What is f(l(t))?\nAnswer: 26*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 3, -2, 1\/57?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(132)\/sqrt(3) - ((2*sqrt(1100) + sqrt(1100) - sqrt(1100)) + 2*sqrt(11)*-3)) + 3)**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/186496 and -37\/564?\nAnswer: 559488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 1 - 0) + -8 + (10 - 17)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 339, -0.03, 0.1, 20847?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 5. Let l(x) = -x. Let w(m) = f(m) + 2*l(m). Suppose 28 = 3*u + 2*d, 0*d = -2*u - 3*d + 17. Suppose h - u = -h. What is w(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 5:53 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 4041?\nAnswer: -4041.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51\/(-21))\/((-545)\/(-3815)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -9778*(-5)\/(-23320) + 4\/(-8). Let q = -135\/44 - i. Let j(m) = m**3 - 9*m**2 + 7*m - 1. Find the common denominator of j(8) and q.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.252053 rounded to two decimal places?\nAnswer: 2.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by (-92)\/(-12) - 1\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -263*v + 253*v + 30. Solve -25*n**v + 9*n**2 + 3*n**2 + 3*n**5 - 2*n**3 + 36*n + 0*n = 0 for n.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 - 24*f + 16. Determine q(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 21942649.92 to the nearest one hundred thousand.\nAnswer: 21900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 25 = 0, -6*x + x + 75 = -b. Let m = x + 35. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163585654 is divided by 648.\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -347 (c) -64\/211 (d) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 5, c: 8}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k. Suppose -4*l - 7 = -2*z - 7*l, -5*l + 5 = 0. Let i(q) = q - 1 + z - 1. What is i(p(x))?\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -471.9703655 rounded to 1 decimal place?\nAnswer: -472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 5*z + 39278, 4*z = 1377*g - 1379*g + 19678. What is the hundreds digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 25189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -528 + 460.98. Let k = i - -66. Round k to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 1 - 1 - 14*s**2 + 2*s. Let i(o) = -43*o**2 + 2*o + 10*o**2 + 30*o**2 - 2*o. Calculate i(m(a)).\nAnswer: -588*a**4 + 168*a**3 - 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13326 in 0, -2\/3, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*n - 1490 - 1753 = 0 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 3\/8*k**2 - 1\/8*k + 0 = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 37. Are 1 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 248?\nAnswer: 99.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gmgngmgjogggomgggmmm. Give prob of picking 2 g, 1 m, and 1 j.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 66*r - 1363. What is the remainder when t(-17) is divided by 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/7 - 11202*l\/7 - 24543432\/7.\nAnswer: -(l + 2988)*(l + 8214)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9809 = 74*x + 250*x - 40589 for x.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 14 - 64. Let l = m + -34. Suppose 0 = 6*i - 10*i + l. Solve -3*w - 4*c = -11, 4*w + 0*w = i*c - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 11:40 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3610605 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -0 + 2. Let o be (10\/(-15))\/((-2)\/(-3)). Let u(b) = b + 1. Let f be u(o). Solve f*n - y = n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 4)*(-2 + 2 + j) + (j + 3*j - 2*j)*(2 + 0 + 0) + 4*j + 0*j - 2*j - 3*j - 5*j + 0*j + 3*j - 2*j - 3*j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u + 5 - 7 - u)*(0 - 1 + 115 + 21).\nAnswer: 405*u - 270","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = a - 11. Suppose -5*s + a = 4*q - 2, q - 3 = -4*s. Suppose 0 = -f - s*f. Let x(n) = -n**2 - n - 4. Calculate x(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 1511*o - 77456. Calculate n(52).\nAnswer: 1116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -1 - o**2 + 5 - 3*o + 0. Let b be k(-3). Solve 3*w + b = w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 - -0.7. Let f = -36\/227 - 1110\/1589. What is the fourth biggest value in f, -1\/3, i, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 135156 (base 7) to base 14\nAnswer: 959d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*w + 2325 = 642 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -176.33749 + 162.1274207. Let p = w - -14.21. What is p rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2348 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -53, -108, -175, -254, -345, -448?\n\"Answer: -6*f**2 - 37*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nymnyggnn. Give prob of picking 1 g, 2 y, and 1 m.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3577278983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 5*n = -5, 3*f + 0 = -5*n + 30 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 275647 and 526907?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1946435 is divided by 13514.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (315\/126)\/((3 - 8)*-1). Let s be (6\/4)\/(5\/(-2)). Let l = 1.97 - -0.03. What is the closest to -2 in s, w, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qt when two letters picked without replacement from qgggqpoqqqqqtuqg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -2*n - 24. Calculate the remainder when 10 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 233, 2, 3 in increasing order.\nAnswer: 1, 2, 3, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-20))\/(124\/4960). Solve -f - 13 = -0*o + 4*o, -5*f - p*o - 1 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.154207 rounded to one dp?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71212 is divided by 4366?\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 4*s**2 + 6*s. Let r be v(5). Let a(k) = 5 + k**2 - r. Let x(u) = -6*u**2. Give 14*a(o) + 2*x(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1311538, 1311702, 1311868, 1312036, 1312206, 1312378, 1312552?\nAnswer: 1312728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2439219*x**3 - 29348*x**2 - 7337*x - 7337. Let m(g) = 665*g**3 - 8*g**2 - 2*g - 2. Give -4*h(u) + 14674*m(u).\nAnswer: 1334*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**3 - 39*i**2 + 21*i + 22. Let n be s(-20). Let r(m) = -161*m + n - 2 + 164*m. Let k(q) = 19*q. Give k(r(j)).\nAnswer: 57*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.762 - 0.762. Put 0.2, 4, o, -0.07 in decreasing order.\nAnswer: o, 4, 0.2, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -5*u - 11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 j when three letters picked without replacement from {k: 1, d: 2, j: 4, g: 10}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -414440 (base 6) to base 7.\nAnswer: -166320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -165*n - 7890. Determine v(-48).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**4*v*x**2 + 22*b**3*v*x**3 + 2*b*x**3 + 53*b*x**2 - 2*v*x**3 wrt b.\nAnswer: 36*b**2*v*x**2 + 132*b*v*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 36?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 7*u + 10 + 54*u in the form f*u + m and give f.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by 541.\nAnswer: -22\/541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of 2*y**3 + 10*y**2 + 1\/20*y**5 + 0*y - 1\/2*y**4 + 0. Factor r(x).\nAnswer: 3*(x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81.3 - 150.54. What is x rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + 8414077165.\nAnswer: 8414077164.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*n - 0*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199176 is divided by 39831.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by -11\nAnswer: -35\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28851, -28849, -28847, -28845?\nAnswer: -28843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 1968?\nAnswer: 17712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 512544 to the nearest integer?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29701 - -32813. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -w + 2. Is 7181 + (-2 + 6)*w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*r + r. Let h = 2 + r. Solve -3*p = -h*p - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s. Let x(t) = -4830*t. Calculate x(c(q)).\nAnswer: 19320*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1623692 + -506205. Let c = 1117498.999972 - u. Let k = c - 12. Round k to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 682 - 262 = -5*q. Solve -2*l - 60 + q = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1349*f**3*m**3 + f**3 - 271306*f**2*m**3 - 2*f**2*m**2 - 5073601*f - 2*m**2 wrt m?\nAnswer: 8094*f**3 - 1627836*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(3) + 5)*1.\nAnswer: sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 2860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 u, and 1 a when four letters picked without replacement from pveyuua.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooaccaadcockd. Give prob of picking 2 a and 1 c.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -15*v - 13. Let x(c) = -17*c - 15. Let j(w) = -8*p(w) + 7*x(w). Let u(y) = 38*y**2 + 228*y - 228. What is -228*j(n) + u(n)?\nAnswer: 38*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nndnndnd. Give prob of sequence ndd.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 27 = k. Let r = 108 - k. Does 23 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 985781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 96?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 8)*((z - z + z)*(-z + 2*z - 3*z) + 2*z**2 + 4*z**2 - 3*z**2)*(-2*z - 237*z**2 + 966 - 966).\nAnswer: 1896*z**4 + 16*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186.09*851.\nAnswer: 158362.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 7*c**2 - 2*c + 4. What is the remainder when b(5) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -212 + 310. Is 97 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 13) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 - 52. Let v = -14 - p. Which is bigger: 0.12 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -329 + 329 = 4*v. Let n be (3\/(-5))\/((-1)\/5). Solve 2*z - 18 = -4*w, -n*z + 15 = -v*w + 3*w for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of 3*o**4\/4 + 7*o**3\/6 + o**2\/2 + 4*o. Is m(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 483 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 6:47 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26912765 is divided by 272?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 24385, 30344, 36303, 42262, 48221?\n\"Answer: 5959*a + 18426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -1039\nAnswer: 4\/1039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 36?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -146.105 less than 0.03525?\nAnswer: 146.14025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3*r + 4 = 1, -4*g + 2*r - 6 = 0. Let x(k) = 6*k**2 + 6. Let z(n) = -4*n**2 - 5. Let q(m) = 5*x(m) + 6*z(m). List the prime factors of q(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - -6) + 0 - (-22)\/(-12). What is the closest to 0.1 in 0, -0.5, -0.4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 628 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/7)\/n)\/(n*(n\/n**(3\/4)*n)\/n*n)*(n*(n*n\/n**1)\/n)**(14\/3) assuming n is positive.\nAnswer: n**(95\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*u = -83, -4*u + 37 = -2*p + 7. Let h = -4 - p. Solve -4*w - h = -v, -v + 2*w + 14 = v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 118795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aacc when four letters picked without replacement from cazaaaccaazaaaac?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14843, -38548, -71115, -112544?\n\"Answer: -4431*v**2 - 10412*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 307.7448l?\nAnswer: 307744.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -237\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, d: 1, u: 2}. What is prob of picking 1 d and 1 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.1, -50.176, 0.2, 0, 4\/3, -2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*(13 - 19))\/(6\/(-4)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -3*w - 2*w + 315, 4*n - 3*w = 224. Let s = n - 58. Are 1\/44 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) -5 (b) 17 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1197 + 1191. Sort -9, 4, 2, z in increasing order.\nAnswer: -9, z, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2954 in 2\/9, -140, -3\/5, 0.2?\nAnswer: -140","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from sxccesexcssc?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/81 - (-6073)\/27. Suppose 3 = m - 22. Calculate the greatest common factor of m and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a year?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 e when four letters picked without replacement from {m: 2, e: 6, p: 3, y: 4}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a hour in seconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqi when three letters picked without replacement from {q: 2, i: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -11 - 5. Let y = -4 + j. Suppose 0*c - y*c + 99 = 3*x, -2*c + x = -57. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/18)\/(144\/(-168) + (-1404)\/(-1344)).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dldlddlddl. Give prob of picking 2 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.5 - -2.9. Which is the biggest value? (a) o (b) 0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103102311 - 1?\nAnswer: 103102310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -11*l - 23. Let c(y) be the first derivative of -3*y**2 - 11*y - 7. Let w(a) = -9*c(a) + 4*s(a). Differentiate w(z) with respect to z.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -14*q**3 - 41*q**2 - 55*q + 6. Determine x(-2).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25194 and 1326?\nAnswer: 25194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -y - 56, -5*v - 224 = 4*y - 3*v. List the prime factors of (y\/(-10) - -1)*5.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -0.1. Let u be 3 - 1 - (-9543)\/(-33). Let x = -287 - u. Which is the closest to y? (a) x (b) 0 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 188 = 4*r, 0 = -5*r - i + 343 - 92. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1005 + 579. Does 4 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 195 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2259228)\/531*81\/(-6) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 3221, 0 in ascending order.\nAnswer: 0, 2, 4, 3221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 92 = r + 4*t, 3*r - 67 = 4*t. Let d = -31 + r. Let v be 0*-3*(-2)\/d. Solve 2*f + v + 2 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24886136 divided by -565594.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010011000100001 (base 2) in base 15?\nAnswer: -1749c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -11*j**4\/24 - 11*j**3\/6 - j**2 + 243*j. Let q(v) = -4*v - 4. Determine 17*q(d) - 6*r(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 7. Let f be (0\/(1 - -2))\/s. Suppose 1465 = 5*o + 3*p, p = -o - f*p + 293. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 77192.\nAnswer: -1\/38596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -2. Let w be 24\/(-6)*(2\/(-4))\/(-27 + 25) + 0. Sort b, w, 4, -5 in increasing order.\nAnswer: -5, w, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4 = 3*g, 17 = -g - 3*j + 5*j. Let a(c) = -9*c - 3. Let w(u) = -8*u - 3. Give g*w(i) + 6*a(i).\nAnswer: 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 324, 620, 914, 1206, 1496?\nAnswer: 1784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220 = 273*l + 331 + 5182 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/16 - 94\/(-4))\/((-115)\/(1495\/13)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in -2, -3, 0.0276877?\nAnswer: 0.0276877","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -p + 4*p - 6, 2 = -5*n + 3*p. Let g = 5 - 4.95. What is the second smallest value in g, n, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 471852 and 1332?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 1. Let s = -9\/41 + -5\/164. Which is the second smallest value? (a) y (b) s (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -125, -215, -331, -467, -617, -775?\nAnswer: -935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 429, 872, 1323, 1782, 2249?\n\"Answer: 4*x**2 + 431*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -8*l + 90. Solve 20 = 2*s - 5*y, 2*s - 20 = 2*y - l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -54 + 8?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 16 = 0, 0 = 3*y + 4*j - 2794 - 5155. What is the thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44811858?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + z**3 - 3 - 11*z**3 - 2.\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 81810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*g = 844 - 1164 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10624543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9206882 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from eebbeeeeeee?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 22 - 33 - 49\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 14*q - 20 + 3*q to w + u*q and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12 - (-3 + 1 + 0). Calculate the highest common divisor of h and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 7728\/34535 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1890350735 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-2\/11)\/k*k)\/(k\/k**(2\/5)*k)*k\/k**(-1\/8)*k**(-2))\/((((k**(-6)*k)\/k)\/k**(5\/3))\/(k**(-3)*k**(5\/3)\/k)) assuming k is positive.\nAnswer: k**(4853\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33742 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*y + 18 = -212*y + 3*n, 2 = -2*y - n for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -378 * 68930.\nAnswer: -26055540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d. Let k(a) = -6*a**2 - 21*a - 10. What is k(i(c))?\nAnswer: -24*c**2 - 42*c - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -16*c + 98. Let i(k) = -k + 7. Let g be (-236)\/295*105\/2. Let q(j) = g*i(j) + 3*o(j). Let n(a) = 3*a + 4. Determine n(q(f)).\nAnswer: -18*f + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 13\/26)*(-26)\/3. What is the third smallest value in -2, 0.3, 4, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 3:57 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 682301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5598 and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -91 != -271\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = 3*k + 4*b + 59, -7*k - 4*b - 14 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-6 + 4 + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**3 + 1 - 1 + (0*g**2 - 2*g**2 + 3*g**2)*(-g - 2*g + 2*g) + 3*g**3 + 4 - 4 + 2*g**3 + 0*g**3 - 4*g**3 + (-g + g - 2*g**2)*(-4*g + 9*g + 4*g).\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 2 - p - 2*p)*(2060 + 1158 + 1494).\nAnswer: -18848*p + 9424","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 117*y - 71*y**3 - 11 - 62*y - 2*y**2 + y**4 + 11 - 56*y to the form z*y + o + w*y**3 + s*y**4 + h*y**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 869230 is divided by 97?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 158, 2, -11, 0.\nAnswer: -11, 0, 2, 3, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 7*k**2 - 6*k - 5. Let i be t(-6). Let j be (8\/5 - 2)*5. Suppose -4*d + 20 = -0*d. Sort i, d, j.\nAnswer: i, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 226, -65, 100?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00254728 rounded to 5 decimal places?\nAnswer: -0.00255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88811, -88950, -89369, -90212, -91623, -93746, -96725?\nAnswer: -100704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000063731 rounded to seven dps?\nAnswer: 0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -910342 < 0.171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -427 + 102 + 101 + 108 + 110 + 3809*a.\nAnswer: 3809*a - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -8*j**3 - 16*j**2 - 2*j - 32. Let o(z) = 3*z**3 + 5*z**2 + z + 11. Let q(n) = 4*b(n) + 11*o(n). What is the lowest common multiple of q(9) and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 214 + -126. Suppose 5*z = -3*z + y. Let c(v) = -3*v**3 + 2*v**2 - v - 2. Let t(a) = 16*a**3 - 11*a**2 + 5*a + 10. Calculate z*c(r) + 2*t(r).\nAnswer: -r**3 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 19, 1, -23, 5, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, -36, -128, -220, -312, -404?\nAnswer: -496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5317, -10626, -15933, -21238, -26541, -31842, -37141?\n\"Answer: q**2 - 5312*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - -6 - (5 + -7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -16. What is the nearest to 0.3 in w, -2, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -38*j - 189. Let c be m(-5). Put 2\/13, c, 0 in ascending order.\nAnswer: 0, 2\/13, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1993328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 0 + 9*s + 3*s**2 - 1\/6*s**3. Give n(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6*l = 24. What is the remainder when 55 is divided by 9\/l*(-38)\/3?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 767*b = -3321 - 10485 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 50*n + 694. Let q be i(-13). Calculate the greatest common divisor of 9284 and q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*6*(sqrt(17) + 1)*-1.\nAnswer: 36 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/308 and 2266\/2772 - ((-5)\/2 - (-2 - 1)).\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 4*q + q. Let u = q - -12. Let d be (-949)\/5 + (-1)\/u. Round d to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.79 * -0.1.\nAnswer: -1.179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 6442956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49404 divided by -4.\nAnswer: -12351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*g - 6*g + g)*(-4*g - g + 2*g).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 5*f + 31, -5*s - 11 = -f + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-nine fifths of a gram?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, x: 1, p: 2, o: 1, s: 2}. Give prob of sequence oxrs.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -32, -27, 3 in increasing order.\nAnswer: -32, -27, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -146 + 141. Let u = 58.4 + -58. What is the second biggest value in -1, 3, q, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35687311 * 0.5.\nAnswer: 17843655.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 18, q: 1}. Give prob of sequence ggg.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 9:23 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-5*(sqrt(1573) + -5*(sqrt(1573) + -1) + -4))**2 + -1).\nAnswer: -1258448 + 4400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 31 + 41 = 0. Suppose -4*k - 4*w = -2*k + o, 3*k - w = 17. Solve 0 = 3*l - 2*b - k - 2, 6 = -4*l - 2*b for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 107.7 - -6.3. Let s = -116 + z. Which is the closest to -5? (a) s (b) 3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 715540.5 years to months.\nAnswer: 8586486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*h**3 + 85 + 12*h**3 + 27*h**3 + 31*h**3 - 85.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80*w + 68*w - 73*w)*(18 + 5*w - 18)*(-2*w + 2*w + 2*w**2).\nAnswer: 750*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v + 4*v**2 - 718*v**3 + v**4 + 2*v - 1 - 6*v**2 + 723*v**3 to the form f + n*v + b*v**4 + o*v**2 + q*v**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r. Let k(i) = i. Let j(l) = l**2 - 4*l - 7. Let f be (-16)\/(-3) + 5\/(-15). Let y be j(f). Let o = 0 + y. Calculate o*k(g) + n(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v - 5. Let t(w) be the third derivative of -w**4\/8 - 5*w**3\/6 + w**2 - 3*w. Let x be 3\/(-1 + 0 + 2). Let g(p) = x*t(p) - 2*o(p). Determine g(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 584376919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 at least 476\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26403761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**3 - 58*y**2 + 57*y - 48. Let o be l(28). Let r(c) = -3*c**2 - 61*c - 30. What is r(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -443*d - 682. Let s be m(-14). Calculate the greatest common factor of 80 and s.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(605) - (sqrt(605) - (0 + sqrt(605) - sqrt(605)))*5)*-6 - (5 + sqrt(605)*3 + 2)**2).\nAnswer: -27470 - 990*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -0.4, 0.26, -2\/3 in ascending order.\nAnswer: -7, -2\/3, -0.4, 0.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a factor of 10070703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 137372 and 2036371?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t**3 + 7*t**2 - 2*t + 3. Let u(m) = m**3 + m**2 + 1. What is 5*u(b) - y(b)?\nAnswer: 8*b**3 - 2*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -7. Let s(r) be the third derivative of -7*r**4\/12 + 7*r**3\/6 + r**2 - 63. What is the remainder when s(i) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -302, -538, -932, -1484, -2194, -3062, -4088?\n\"Answer: -79*j**2 + j - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 - -11653?\nAnswer: 12003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 6. Let x be r(-6). Let v = -0.04 + -0.05. Let k = -4.91 + v. What is the biggest value in 1\/6, k, x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8541 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvyvyhffhfhv. Give prob of picking 1 v and 1 f.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z - 1. Let j = 30 + -31. Let i(a) = a - 1. Let n(o) = j*v(o) + 6*i(o). What is n(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*w**3 - 106*w**2 + 209*w\/8 - 13\/8.\nAnswer: (w - 13)*(8*w - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 412, 386, 360, 334, 308, 282?\n\"Answer: -26*f + 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/3))**(38\/5) assuming h is positive.\nAnswer: h**(-76\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302377184 is divided by 3461?\nAnswer: 3458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.48 times 0.06?\nAnswer: -0.6288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.2 - 11.2. Let j = 4.98864 - -0.01136. What is the nearest to 0 in s, -0.2, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4873 + -3323. Let h(k) = -2*k**2 + 26*k - 41. Let w be h(9). Calculate the highest common divisor of w and v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - (0 - 3))*(-2)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 333665195780 take away 5570?\nAnswer: 333665190210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 9*u**2 - 11*u + 19. Suppose 4*x - d - 27 = 0, x - 12 = -5*d - 0*d. Calculate the remainder when a(7) is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 203011033 (base 4) to base 8\nAnswer: 430517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/3 - (-3192)\/36. Suppose -a - w = a. Let p = a + 55. Is p greater than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 99, 70, -33, -234, -557, -1026?\nAnswer: -1665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -216, -452, -708, -996, -1328, -1716, -2172?\n\"Answer: -2*q**3 + 2*q**2 - 228*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1176446, -1176427, -1176396, -1176353?\n\"Answer: 6*m**2 + m - 1176453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13637123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - m + 6. Let w be u(0). Suppose -4*d + w = -2. What is the derivative of -10*a**d - 1 + 0*a + 11*a**2 + 0*a wrt a?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 71197*b + 1719. Is i(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*i - 0. Sort 0.1, 4\/3, i in increasing order.\nAnswer: 0.1, i, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117))**2*-5*6*4.\nAnswer: -14040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*t = -28, -3*t = -3*h + 2*t + 73. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z + 26 + 18 - 43. Let p(j) = 1. Let c(u) = 2*p(u) - 2*t(u). Let h(g) = -g + 2*g + 2*g. Give c(h(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 3. Let m = -1.9 - -3.46. Let f = 10.44 + m. Sort 4\/3, p, f in descending order.\nAnswer: f, 4\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126542845 to the nearest integer?\nAnswer: 11249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2109095 > -140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*t + 86*t**2 + t**4 - 187*t**2 + 14*t**3 + 95*t**2 - 14*t**3 to the form u*t**4 + r*t + d + k*t**3 + i*t**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 293417*g - 804364*g - 50374*g - 788679*g. Let i be v(-6). Round i to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 10:37 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 3*c**4\/7 - 1803*c**3\/7 + 335691*c**2\/7 - 3193911*c + 48225618 = 0.\nAnswer: 21, 129, 322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 560073?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 5*w - 5. Let h be c(-2). Let l be (h\/2)\/((-184)\/(-96) + -2). Suppose 5*q - 6 = -4*g, 2*q - g + 2*g - 3 = 0. Put l, -4, q in descending order.\nAnswer: q, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*m + 228 - 463 + 235 in the form x*m + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 - 15*k**2 + 10*k.\nAnswer: 5*k*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 163053585 plus -1165?\nAnswer: 163052420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88843, -88845, -88847, -88849?\nAnswer: -88851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-5)*h)\/h)\/(((h**(-2\/47)\/h)\/h)\/h))\/(h**(-11)\/h*(h*h\/(h\/(h\/h**(-1\/2))))\/h) assuming h is positive.\nAnswer: h**(897\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25968*o - 6 = -25967*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + t + 2*z = 110, 0 = 3*t + z + 323. Let i = -88 - t. Which is the nearest to -1? (a) i (b) -4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -n**4\/4 - 4*n**3\/3 + 5*n**2\/2 + 2*n + 2. Let b be m(-5). Differentiate 2 + p**2 - 4*p**b + 2*p**2 wrt p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2038*n**3 - 5696*n**3 - 4978*n**3.\nAnswer: -12712*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(171)*-2 + sqrt(171)*1 + -2 + 0)**2*2.\nAnswer: 24*sqrt(19) + 350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(-8) + 3\/4. Solve -t*q - 14 = s, -2*q + 3*s = q - 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 168 = 4*n. Suppose -37*w - n = -39*w. Let j be 6*(1 - 3\/(-6)). Which is bigger: w or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 308300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000980811 to 6 dps.\nAnswer: -0.000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-192)\/(-128) - (1 - 5\/2). Let q(f) = f + 6. Let c be q(-4). Suppose 2*n + 4 = -3*x, x = -4*x + n + c. Solve 4*i - 20 = x, i - 4 = -d*m - i for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121797283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand s - 3*s + 3*s - 5*s + s + 2*s - 2*s + 5*s - s + (3*s - 6*s + 4*s)*(-2 + 1 + 2) - s + 4*s - 4*s + 2 + s - 2 - 292*s + 121*s - 221*s.\nAnswer: -390*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 2:20 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3778?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -464 + 550*b**3 + 2*b + 108*b**3 + 165*b**2 - 86*b**2 - 79*b**2 wrt b?\nAnswer: 3948*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*r - 2*k - 4, 0 = -3*r - 2*k - 5. Let s = r + 5. Suppose 108 = s*a - 90. What is the remainder when a is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1572739\/54 - -29124. What is the common denominator of -143\/30 and d?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 17*r**2 - 18*r + 4. Let q be a(18). Let b(f) = 16*f + 4*f**2 - 3*f**2 + 0*f**2 - 8 - 13*f. Let y be b(-5). Solve 0 = y*k - 6*k + q for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*s, 0 = -2*v + 3*v + s - 61. Let p = -595 + 812. Calculate the highest common divisor of v and p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -387 by -3.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1566 divide 427680864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25624508 divided by -36764.\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 3*n**2 + 3*n - 4. Let s(c) = c**3 + 5*c**2 + 5*c. Let a be s(-4). Calculate i(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -4.12. Let a = p + 0.08. Sort a, -0.5, 0.1 in ascending order.\nAnswer: -0.5, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/10)\/(1\/(-5)). Let c = 1 - g. Let k be 3 - -16 - 1 - c. Solve 7*x - 3*x = -2*y - 20, -5*y + 3*x = -k for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -843970 rounded to the nearest 10000?\nAnswer: -840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 + -70. Suppose 0 = 4*d - 2*h - 22, -d - 4*h + 28 = -i*d. Let m = d - 4. Solve -16 = 3*n - m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1830795350 to the power of 1\/2, to the nearest integer?\nAnswer: 42788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 788*k - 50 = 783*k + 5*g, 3*k + 4*g - 2 = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 5360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8776, 17758, 26740?\nAnswer: 35722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48595*t**5 - 5*t**4 + 10*t**3 + 1359*t**2 + t - 671?\nAnswer: 2915700*t**2 - 120*t + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l**2 + 10*l + 6. Let h(t) = -t**2 - t + 1. Let q(g) = 3*h(g) + p(g). What is q(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 30 + 5*c - 30.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*q - 12*q + 272*q.\nAnswer: 205*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, v: 2, q: 2, y: 1, k: 9, o: 2}. Give prob of picking 1 o, 1 y, and 1 v.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 16*t - 98. Let p be k(-21). Solve -p*b - 115 = 16*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -297 (b) -13\/9 (c) 1\/3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -34)\/3 - -2. Is 15 a factor of (408\/o - -3)\/((-2)\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 7*l**2 + 3*l - 1. Let u(f) be the second derivative of f**5\/20 - f**4\/2 + f**2 + 3*f. Let z be u(6). What is the units digit of y(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 20 + (-8 - -20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b9 (base 13) in base 8?\nAnswer: 1745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*d**3 + d - 8*d - 21*d**2 + 20*d**2 - 10*d**3.\nAnswer: -37*d**3 - d**2 - 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15.09 - -15.29. What is the closest to 0 in -2\/17, b, 2, -2\/7?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2487628193 to five decimal places.\nAnswer: -0.24876","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.0408, 185, 4 in decreasing order.\nAnswer: 185, 4, 0.0408, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 821.9928 decades?\nAnswer: 8219.928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*d + 1. Is 1101\/d - 6\/21 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34208 by 1069.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -9\/8, 5, 16, -0.11, -2\/13?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*(-9)\/12 + 13. Suppose 2*t = -t + 3. Let y be (0 + t)\/(2\/224). Calculate the greatest common divisor of x and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 395 - -5?\nAnswer: 39a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 894350 and 71300.\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - s = -3*m + 13663685, 4*m + s - 18218249 = 0. Let l = m - 452523. Let t = -12897961 - l. Round t to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 - 212313?\nAnswer: -212223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 60? (a) -3\/2 (b) -27 (c) 3 (d) 22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 105*((-14)\/10 - -1). Let y = r + 40. Is 15 a factor of y*(317\/(-6) - (-8)\/(-48))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1626290639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 6:51 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2211, -2161, -2111?\nAnswer: -2061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -451\/80 + -17741\/80. Let k = -3404\/15 - a. Is 1 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -42.2.\nAnswer: -42.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 36738400 rounded to the nearest 1000000?\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -32 + 5. Calculate the smallest common multiple of r and 20\/3*(-180)\/(-40)*1.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*g + 746*g**2 + 32*g - 64*g to the form h*g + b*g**2 + i and give b.\nAnswer: 746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005780245 rounded to five decimal places?\nAnswer: -0.00578","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + -3 + 2\/2. Suppose q*w - 84 + 290 = 4*p, -3*w = -3*p + 150. What are the prime factors of p?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2. Let a(k) = -678*k**2 - 819*k**2 - 188*k**2 + 74*k**2. Calculate a(p(x)).\nAnswer: -6444*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360082\/2149 >= 633?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 26*a**2 + 20*a + 76. What is the hundreds digit of t(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4858908952?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/(-14) + 2\/7. Find the third derivative of -j**3 + 4*j**t - 7*j**2 + 2*j**2 wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047909827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31 + -68 - -38 - -11) + -51.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-52)*(-76)\/95.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5512892 and 343?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 0 - -2 - (39 - 40).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2409.092 - 2527.5. Let f = -119 - j. Round f to two decimal places.\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 45 = -4*a - 6*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 916 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 135.8679 centuries?\nAnswer: 1358.679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/7))**(-1\/28)\/((o\/((o\/(o\/(o**5\/o*o)))\/o))\/(o**0*o)) assuming o is positive.\nAnswer: o**(391\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -762.77859 and -1448.\nAnswer: -2210.77859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -7*x**2 - 183*x + 111. Give u(-26).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 0*d + 2*c = 8, 5*c = -10 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5497 - -5497. Let w(n) be the second derivative of h + 0*n**4 + 11\/10*n**5 + 0*n**2 - 11\/6*n**3 - 5*n. What is the second derivative of w(y) wrt y?\nAnswer: 132*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -9, -2\/19 in ascending order.\nAnswer: -9, -2\/3, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.8 - 0.4. Let s = -1.4 + n. Let u = s - -0.99925. Round u to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**5\/10 - q**2. Let s(g) be the third derivative of -g**5\/60 + 303*g**2. What is c(s(p))?\nAnswer: 6*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 7 = -33. Suppose 6*w = 4*w + 5*f + 19, 4*w = -2*f + r. Let s = -5 + w. Calculate the least common multiple of s and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389458841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 7 = 4*h, 0*u - 2*u + 12 = -h. Let p be (3 + 3 + h)*1. Calculate the highest common factor of p and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -167, -685, -1199, -1709?\nAnswer: -2215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - 280176aa?\nAnswer: -280176a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 1011100211210?\nAnswer: -1011100211221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5408 divided by 6\nAnswer: 2704\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 892679 - 13?\nAnswer: 892666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 334730 to the nearest ten thousand.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 16. Suppose -3*q = -q - z. Suppose q*y = 8*y - 6. Solve 3*x = -2*a + y - 5, 5*a + 3*x = -3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -4 + 3\/4*l**4 - 1\/2*l**6 - l**3 + 0*l + 3\/5*l**5 + 0*l**2. Factor x(h).\nAnswer: -3*h**2*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/(-5) - 19\/(-95). Suppose -2*t + 2 = 0, f = -a + 3*a + 3*t. Are a and 5\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -292 minus 260902658?\nAnswer: -260902950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 3*w - 5. Let g = -454 + 462. Let k = g + w. Solve -b = k*b + 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00045523 to 5 decimal places.\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1356\/7 + -194. Is o less than or equal to 1\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3918002 divided by -26\nAnswer: -1959001\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1148\/1722*(-3)\/(-8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 3. Suppose -p*x = 18 - 102. Let b = 17 - x. Solve z - 17 = 3*v - 0*v, z + b*v = -13 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -2\/5 (c) -10\/3 (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -23*m + 34. Let s be a(5). Let i = 12 + s. Let h be 3 + (2 - i\/(-15)). Which is smaller: 2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -25*s - 8. Let y be j(9). Let g = y + 427. Is g a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**3 + 56*o**2 + 128*o = 0. What is o?\nAnswer: -2, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15013959 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (200\/(-12))\/(-5)*6. Let z = p - 15. Solve 4 = -2*f - o + z*o, -9 = f + 5*o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 9445?\nAnswer: -9445.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 7. Let w be h(0). Suppose 4*a = -a + 5. Suppose -4*d = -2 - 14. Solve z = 4*v + a, -3*z = 4*v - w*z + d for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a**3 - 4*a**2 + 4. Let i(p) be the first derivative of -p**4 - 5*p**3\/3 + 5*p - 9. Give 4*i(j) - 5*s(j).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1700 divided by 340\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 c when three letters picked without replacement from eciezfcbi?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.744421 millilitres?\nAnswer: 0.007744421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4405 - 4406. Is -3804 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 17*f**5\/20 - f**3\/6 + 27*f + 2. Calculate l(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 522095.\nAnswer: 4176760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27421 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 481.9 + -452. Let x = 26.9 - y. What is the third smallest value in -0.4, -5, x, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 6*r + 5. Let w be d(6). Suppose 0 = -v - 3*s + 24, -v + w*s - 3 - 5 = 0. List the prime factors of (-2)\/v*4 + 1264\/6.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001110011101 + 11111001110111101?\nAnswer: 11110000000100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 13*j**2 - 28*j - 4. Let i(c) = -4*c**2 + 9*c + 1. Let u = 762 - 760. Give u*t(r) + 7*i(r).\nAnswer: -2*r**2 + 7*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + (-3*1*sqrt(1584) - (sqrt(1584)*2 + -3)**2) + -5 + 4.\nAnswer: -6344 + 108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/3 - 10363*u**3\/3.\nAnswer: -u**3*(u + 10363)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 767029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -z - 0*z. Let c = 21 - z. Suppose 2*o - c = -2*s + 6*o, -5*o = -s + 10. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1 - 0)\/(1539\/114 - 13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 1\/((-1)\/1). What is the units digit of (5\/10)\/((-1)\/r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.78 plus 56365378774?\nAnswer: 56365378774.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-4))\/(42\/8). Let f = -25254 + 25233. Is p at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 4*s, 2*b = -4 - 0. Let a be 1\/(-2)*(-5 + 11 + -6). Solve -5*y = -s*n + 10, a = y - 0*n - 3*n - 11 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**3 - 100*f**2 + 202*f - 316. What is t(-52)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + l**2 + 5*l - 2. Let i be t(2). Let h(z) be the second derivative of -1\/21*z**3 - 1\/42*z**i + 0 + 0*z**2 + 3*z. Factor h(b).\nAnswer: -2*b*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 473 + 911 - 439. Let v(b) = 8*b**2 - 10. Suppose -5*w = 5 - 0. Determine w*v(h) + 10*i(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7626*z**4 + 15240*z**3 - 5*z**2 + 4204332 wrt z?\nAnswer: 183024*z + 91440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 37\/2 of a day?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f - 2 + 2*f + 5*f**2 + 13*f**2.\nAnswer: 18*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 80*h - 696. Give x(9).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 11\/5 (c) -245.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/6 or 0.937?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22923222*g**4 - 25030481*g**2 wrt g.\nAnswer: -550157328*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0*v + 3. Suppose 0 = 7*t - 2*t + v*p, 5*t - 2*p = 0. What is the second derivative of 2*s**5 - 4*s**5 - 2*s + t*s wrt s?\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3039309 is divided by 33.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 17, y: 3}. What is prob of sequence yjy?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5787853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(102)*1)\/(((-1*sqrt(54) - sqrt(54)) + sqrt(54))\/sqrt(9))*5)**2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - 0. Let s = -126 - -124. Sort w, -4, s.\nAnswer: -4, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9343 = 22*o + 16265. Let i = -714 - o. Is 30 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**3 + p**3 + p**3 + (1 + 0*p - 2 - p)*(0*p**2 + 5*p**2 - 4*p**2).\nAnswer: 3*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n - 133. Determine u(47).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 10 = -7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -32)\/(3\/3). Let w(f) = f**3 + 13*f**2 + 40*f - 4. Let s be w(-6). Calculate the greatest common divisor of h and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1121102 + -20000?\nAnswer: -1211102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*f - 195 - 710 - 463 = 0 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24288 divided by -352.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 + 7*t - 6. Let g be d(5). Let f = 3884 - 3907. Let j = f + g. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/162)\/((-1)\/(-3)*2)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, p: 5, i: 4, a: 2}. Give prob of sequence pap.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*x - 6 - 14, 0 = 5*x - 20. Suppose 3*m + 20 = -z. Let r(f) = f + 13. Let u be r(m). Solve -u*g = -5 - 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqi when three letters picked without replacement from uuqqiqqiuq?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 - 1. Let x be -1*1 + -4 + 6. Let f be a(x). Solve -4*h = 5 - f for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.047 + -0.493. Let i = -0.53973 - y. What is i rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n. Let t be (-46)\/14 - (-2)\/7. Let l(a) = -a. Let y = -36 - -70. Let d = 33 - y. Determine d*q(b) + t*l(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 40 = -x. Suppose -x*v + 88 = -0*v. Calculate the remainder when v is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 55272936.\nAnswer: -1\/18424312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*m**2 + 2 + (-3*m + 0*m + m)*(0*m + 3*m - m) + 2*m**2 + 0*m**2 - m**2 + 1 - 3*m + 5 + 3*m**2 - 5.\nAnswer: 2*m**2 - 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 2) + -11 + 41 + -21 - -6\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -1. Let w(i) = 1. Let z(r) = 5*d(r) + 4*w(r). Let p(v) = -8*v - 5. Let g be ((-5)\/12 + 2\/(-8))\/(18\/27). What is g*p(n) + 3*z(n)?\nAnswer: 8*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.01 - -1.99. Let c be (-82)\/123 + (-2)\/(-4). What is the closest to 4\/3 in 0.4, q, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 181382 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2. Let n be ((2 - 1)*0)\/1. Let r(m) = n*m + 5 - 3*m**2 + 2*m + 3*m. Let f(d) = -5*d**2 + 8*d + 8. Let w(k) = -5*f(k) + 8*r(k). What is w(o(v))?\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*k = 19*k + 50*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42073780.19591 - -0.03.\nAnswer: -42073780.16591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 19010575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1 - 3*l + 2 - 1 + 0*l.\nAnswer: -3*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 8. Let n = -0.1 + w. What is the nearest to 0.2 in n, -4, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**3*s**3 + 19*a**3*s + 5*a**3 + 10*a**2 with respect to s.\nAnswer: 6*a**3*s**2 + 19*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6772 and 103105393.\nAnswer: 1693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1*5\/(-2) + (-12)\/(-4)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, m: 5, x: 2}. What is prob of sequence xrxm?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 divided by 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r. Let y(x) be the first derivative of -x**2\/2 + 1. Determine a(y(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -565 (base 8) in base 16?\nAnswer: -175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -n**5\/20 - 5*n**4\/6 - 43*n**2\/2 + 5*n. What is the first derivative of x(v) wrt v?\nAnswer: -3*v**2 - 20*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 1. Let k be (-423)\/45 + m\/10. Let o be (3\/k)\/((-2)\/(-18)). Put -2, o, 4 in decreasing order.\nAnswer: 4, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 0 + sqrt(1900))**2 - (1 + sqrt(1900) + sqrt(1900) + 4))*6.\nAnswer: -720*sqrt(19) + 11520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 13*w = 8*w + 10, -20 = -2*f - 4*w for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hy when two letters picked without replacement from pyhhllll.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74 + 59. Which is smaller: -14 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -150 + 1a115a?\nAnswer: 1a100a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3f755 (base 16) in base 11?\nAnswer: 168316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -0.03, -9\/10, -2\/5.\nAnswer: -9\/10, -1\/2, -2\/5, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 + (-19 - ((2 - -10 - 1) + -12)).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 63*z**2 + 775. Let t(s) = -s. Calculate t(q(i)).\nAnswer: -63*i**2 - 775","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 - 25 - 30 + 10*s + 55. Suppose 2*f - 4 = 2*p + 10, 3*f = -5*p - 67. Is 21 a factor of l(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -34) + 9995 + -9890.\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-8)*a**(-2\/25) assuming a is positive.\nAnswer: a**(-202\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence immm when four letters picked without replacement from {m: 3, i: 1, g: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15023 and 913.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-4 + -39)) + 0 + -8 + 16 + -1?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -11*j**2 - 34*j + 28. Let t(u) = 6*u**2 + 17*u - 17. Let r(x) = 5*t(x) + 3*w(x). Let p(y) = y**2 + 4*y. What is 9*p(s) + 2*r(s)?\nAnswer: 3*s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 90 - 70, -4*j = j - 4*a + 179 for j.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d - 5. Let f be (-12)\/(-54) - (132\/(-54) - 2\/(-3)). Let a(k) be the second derivative of 0*k**2 + 1\/3*k**3 + f*k + 0. Determine a(n(t)).\nAnswer: 2*t - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 - -39 - (0 - 16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**4\/11 - 23882*t**3\/11 + 976598*t**2\/11 - 9495318*t\/11 - 10495800\/11 = 0.\nAnswer: -1, 21, 11900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 38, 88, 166, 284, 454, 688?\nAnswer: 998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -459299250 by -6.\nAnswer: 76549875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 8*i**2 + 84*i - 21. What is the hundreds digit of x(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 216137 by 7453.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b + 37 - 10 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/15)\/(8\/(-6)) - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*g = 178*g + 16 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.2? (a) -10 (b) 5 (c) -4.2 (d) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z - 589 + 325 = 0 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 403 - 194. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1060*p - 1050*p = -10 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 1.67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-5\/6)*v*v*v**(4\/9)*v*(v*v\/v**6)\/(v**(3\/8)*v*v*v))**(-3\/8) assuming v is positive.\nAnswer: v**(199\/192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11120, 44528, 100210, 178166?\nAnswer: 278396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3848 + 3854. Let w(i) = 8*i**2 - 48*i + 10. Determine w(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61 - -60. Is (1542\/6)\/(n - (-36)\/33) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 116348 and 92630.\nAnswer: 91333180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1065623.\nAnswer: 13, 81971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 119 - 102 = -4*o, -5*w - 5 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 - 28396986*s**2 + 100798587537030*s + 100798615934018.\nAnswer: 2*(s - 7099247)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -296.9959 + 297. Let v = -0.2041 + f. Which is the biggest value? (a) 1.1 (b) v (c) 5 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81340 a multiple of 245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11652 - 11470. What is the remainder when l is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3175*m + 13779. Determine d(5).\nAnswer: -2096","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1541292 is divided by 55019?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 21662, 43346, 65060, 86798, 108554, 130322, 152096, 173870?\n\"Answer: -f**3 + 21*f**2 + 21628*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5dabb4 (base 15) to base 14.\nAnswer: 84cb3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence og when two letters picked without replacement from {g: 5, r: 8, h: 5, a: 1, o: 1}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10638?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2. Let i(u) be the second derivative of u**4\/12 - 3*u**2\/2 + 3*u. Let l(v) be the first derivative of i(v). Give l(x(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10610314 (base 8) in base 7?\nAnswer: -25350612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1505386.161 to the nearest 100.\nAnswer: -1505400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k - 4. Let a(s) = -6*s - 10. Let x(p) = a(p) - 2*l(p). Let y(r) = -4*r - 4. What is -13*x(g) + 6*y(g)?\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -47, 1, 4, 98, -1 in descending order.\nAnswer: 98, 4, 1, -1, -22, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-480)\/27 - (-14)\/(-63))\/(-1). Suppose -t*l + 21 = 3. What is the lowest common multiple of 1 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 161250162?\nAnswer: -161250200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 3806053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 - -79. What is the remainder when u is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 47*k**2 + 9*k - 77. Let f(g) = -23*g**2 - 4*g + 38. Let n(d) = 3*d + 3. Let z be n(2). Let c(o) = z*f(o) + 4*x(o). Differentiate c(a) wrt a.\nAnswer: -38*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n - 2. What is y(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1911) + sqrt(1911)*-1 + sqrt(1911)))\/(-2*(sqrt(3) - ((sqrt(12) - sqrt(3)) + sqrt(3)))*4)*-5.\nAnswer: 35*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -234 and 503.945153.\nAnswer: 269.945153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 + 35. Let k(y) = y**2 - 7*y + 9. What is the units digit of k(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1484*g - 1482*g = 4. Suppose l + 30 = 3*x - g*l, 10 = -2*x - 4*l. Put 0.2, -0.05, x, -6\/11 in descending order.\nAnswer: x, 0.2, -0.05, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -10*g**2 + 9*g + 5*g**3 + 1 + 0*g**3 - 4*g**3. Let d be m(9). Let p(r) = 3*r - 11*r + 9*r - 13*r**3. What is p(d)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 110111111011010110011?\nAnswer: 110111111011010110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(14\/9)*b**(-27) assuming b is positive.\nAnswer: b**(-229\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 k, and 2 l when four letters picked without replacement from {k: 5, m: 1, l: 2, w: 1}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -82975*n*v - 350329*n with respect to v.\nAnswer: -82975*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -5. Let j = 43.62 + -43.65. Which is the smallest value? (a) j (b) -3\/7 (c) m (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**5\/60 - 2*c**2. Let o be (-2)\/(-9) - 19375\/(-9). Let g(q) = -2153 + 6*q + o. Give g(r(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -527881, -527916, -527975, -528058, -528165, -528296, -528451?\nAnswer: -528630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(3\/4)\/w)**(-17))**(-21\/5) assuming w is positive.\nAnswer: w**(-357\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90360 by 30120.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76658?\nAnswer: 2, 38329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x + 10*x - 32*x - 29*x to the form d + s*x and give s.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 150606511.7 to the nearest 1000000.\nAnswer: 151000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2115456 is divided by 9838.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-45)\/10*(76 + (5 - 3)). Let b = 346 + x. Is b >= 44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4041 (base 14) to base 7.\nAnswer: -44111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/2)*b**(5\/3) assuming b is positive.\nAnswer: b**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/9)\/v**(-6))\/(v*v*v*v**1\/v)**(-31\/5))\/((v*v*v*v\/(v\/(v*v\/v**1*v*v)))**27)**(10\/7) assuming v is positive.\nAnswer: v**(-65221\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27330193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 + 526*n**2 - 3601887*n.\nAnswer: n*(n - 1653)*(n + 2179)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 521 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 61\/730 (b) 0 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from iiiiieeiciiiiic?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 197, 189, 179, 167, 153?\n\"Answer: -a**2 - 5*a + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-20)\/(4 - 14))\/(13 + 1). What is the smallest value in 2\/3, -3, -5, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 132 = 3*d. Let u = d - -64. Factor 17*a + 6*a**2 - 17*a - a**2 + u*a.\nAnswer: 5*a*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/11)\/(-1))\/((-282)\/(-94))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 123473722217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1 (b) -27 (c) -0.1 (d) -23 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a micrometer in nanometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1415336 and 19344.\nAnswer: 8492016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 8:57 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -8*g - 6*g - 33*g + 41 + 0*g - 17*g**2 + g**3 + 6*g. Give q(19).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 4*u - 1261 = 5*u - 1259, 3*u = -9*f - 9 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 100?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/15)\/y**(-4\/3))\/((y**(-1\/3)*y)\/y*y)**(1\/17))**(1\/24) assuming y is positive.\nAnswer: y**(91\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(66) - 4*(sqrt(66) - (sqrt(66)*-2 - sqrt(66))) - sqrt(66) - -2*-2*sqrt(66))\/(2*sqrt(294) + -2*sqrt(384)).\nAnswer: 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 6*c. Let d be g(-2). Suppose 0 = 4*z - 4*l, -d - 7 = -2*z - l. Solve z*q - 25 = 2*n, -3*n = -4*n for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 4*(sqrt(80) + -2) + ((sqrt(80) - (sqrt(80) - (sqrt(80) + sqrt(80)*-2))*-6) + sqrt(80) - (sqrt(80) - 4*(1 + sqrt(80)))))*1)**2.\nAnswer: -840*sqrt(5) + 35305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51797 is divided by 1389.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -76 * -4.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12878946 + -3.\nAnswer: 12878943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 2 (b) -5 (c) 0.08 (d) -3.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 4*v**2 + 2*v + 4. Let l be ((-7)\/(-2))\/(-7)*-12. Let d(y) = y**2 - 5*y - 1. Let h be d(l). Suppose 0 = -h*m - 44 + 24. Determine o(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2930560 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, m: 1, w: 1, u: 6, n: 6}. Give prob of picking 1 m and 1 n.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -6. Which is the smallest value? (a) -15 (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 378 and 1296?\nAnswer: 9072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**5\/2 - 329*v**4 - 50747*v**3 + 1104270*v**2 - 15085161*v\/2 + 16893387 = 0.\nAnswer: -339, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**2 - 8104*x - 3533676. Calculate v(-497).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -12*g - 16. What is z(5)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -92 + 85. Let m(h) = h**3 + 8*h**2 + 5*h - 12. Determine m(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 108352373?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3335675?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278 - 128 = -6*a - a + 3*i + 128, 2*a - 16 = -i for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-12))\/((-110)\/15).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -603*c - 2. Let m be w(-1). Suppose -10 = -2*v, 3*v - 220 + m = 3*f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32063, -64118, -96017, -127682, -159035?\nAnswer: -189998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 128903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2948*f**2 - 2948*f**2 + 174*f**3)*(2 + 0 + 1 + 2*f**2) + 3*f - 6*f + 2*f**5 + 0*f**5.\nAnswer: 350*f**5 + 522*f**3 - 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -572224105, -572224108, -572224111?\nAnswer: -572224114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(121) - -1*sqrt(121)*-3) + (sqrt(121) - -6*(-2*sqrt(121) + sqrt(121)))))\/(sqrt(275)*2 - (-4*sqrt(704) - sqrt(11))).\nAnswer: -21*sqrt(11)\/43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 110010010000101 (base 2) to base 16\nAnswer: 6485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10 - (-5)\/((-5)\/4). Let w(p) = 0 - 2*p + p**3 - 6*p**2 - 7 + 4*p. What is the units digit of w(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18155 is divided by 421?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -22, -14, -4, 8, 22?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + k = -3893, -3*o + 2*o + 1964 = 3*k. Suppose -p + 2364 = -o. Let v = p + -2556. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43066019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 37 - 3*(48\/(-9) - -5). Suppose -21605 + 74767 = v*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 102619 * -3.\nAnswer: -307857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one tenth of a day?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5146.095g to micrograms.\nAnswer: 5146095000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142209 is divided by 745.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**3 + 117 - 908*u**2 - 790*u**2 - 535*u + 148 + 1973*u**2 = 0 for u.\nAnswer: 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 13*n - 5*n. Suppose -15*b - 1 + 16 = n. Solve -3*m + b = -2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**4 + 6*f**3 - 296*f**2 - 9566*f?\nAnswer: -24*f**2 + 36*f - 592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*k + 2*k. Let x = 4 + k. List the prime factors of 1 - -2 - (x + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 510.9629 tonnes in nanograms?\nAnswer: 510962900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x + 6*x - 4*x + x + 1 - 1 + (4*x - 4*x + 2*x)*(3 - 1 - 4) + 4*x - 3*x + 0*x + (-1 + 2 - 2)*(3*x + 5*x - 3*x).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -12 (b) -2 (c) 2\/5 (d) -2\/11 (e) 3\/5 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20090*c**3*q**2 - 7*c**3 + 328*c - 6*q**2 + 3 wrt q?\nAnswer: 40180*c**3*q - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 6. Let l = 22 + c. Let r = l + -2. Solve r*o - 13 = 3*v, o + 4 = 2*o - v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7672 at most as big as -140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 1:11 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -2895\nAnswer: 1\/965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, u: 4, c: 5}. What is prob of picking 1 t and 1 c?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 152366 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*a**2 + 9*a**2 + 19*a**2 + 24*a**2 + 14*a**2 - 97*a**2.\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 4*x = 86, -779 = -4*p + 2*x - 657 for p.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 207 and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23116279 is divided by 212?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -157 take away 56.4076824491?\nAnswer: -213.4076824491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000753 to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 17*x**2 - x + 1. Let p be y(2). Suppose 1 = -2*m - 1, 3*c - p = m. Calculate the smallest common multiple of c and (-6 + 0)\/(30\/(-20)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6885 and 2040.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 9*s**2 - 21*s + 25. What is the remainder when 169 is divided by h(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29864.89 and -0.04?\nAnswer: 1194.5956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4 + 221*p**3 - 33413*p**2 + 544815*p - 2364552.\nAnswer: (p - 89)*(p - 9)**2*(p + 328)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6387828*g**6*m - g**2*m + 359621*g**2 - g*m + 2*g - m wrt g?\nAnswer: 766539360*g**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 60 divided by 57\nAnswer: 20\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -577*c**2*x - c**2 + 7*c*x - 5*c - 2723413*x wrt c.\nAnswer: -1154*c*x - 2*c + 7*x - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + v - 6*v, 33*w - 21*v + 42 = 33*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1293*l = -3549 - 37827 for l.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**2 - 7*i + 3*i - 5*i + 9*i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - 12 - (8 - -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 106 + -68. Let r = 36.3 - q. Let u = -1.6984 - r. What is u rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 55*t**3 - 34*t**2 - 6*t + 6. Determine y(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/26)\/(((-816)\/(-1088))\/((42\/(-32))\/(-7))).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2047554 and 6.\nAnswer: 2047554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3416*x + 5069*x + 9879*x.\nAnswer: 18364*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31198 and 13566?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(67\/(-603)*-969).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.34901 - -0.4?\nAnswer: -17.94901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/2*33*(-94)\/(-517).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j + 14. Let r be p(4). Is (-8)\/r - (-2 - -3)*-1 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-101 - -62) + (34 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*g - 23 = 0. Let z = g - 5. Calculate the greatest common divisor of 144 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h**3 - 4*h**2 - h + 2. Let j be -3 - (10\/(-15))\/((-2)\/3). Let o(r) = -r**3 - 5*r**2 - 5*r. Let d be o(j). Is f(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -53*v**6\/120 + 7*v**5\/60 + v**4\/12 + 13*v**3\/2 + 186*v**2. Find the second derivative of d(s) wrt s.\nAnswer: -318*s + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*c + 49 = 18*c + 3*i, 24 = -3*c + 4*i for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9567, 5, -4 in descending order.\nAnswer: 9567, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, p: 1, f: 1, l: 2}. Give prob of picking 1 d, 1 p, and 1 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 893 and 12788729.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 52 = 4*t, 4*t + 352195 = -5*c + 352263 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -5. Let m(d) = -3. Let z(r) = -2*h(r) + 3*m(r). Let n(v) = 4*v + 6. Calculate n(o) - 5*z(o).\nAnswer: 4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 69\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 9*v**2 + 20*v + 22. Let j be h(11). Suppose -2*s - 6 = j, s - 6*s = 4*d - 1. Solve -2*a = -5*q + a + 27, 0 = d*q + a - 8 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(280) + 1*sqrt(280)))\/(sqrt(14)\/sqrt(18)))\/(-5*sqrt(8)*3 - (sqrt(216) + sqrt(24))\/sqrt(3)).\nAnswer: 18*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2856, -11457, -25798, -45879?\nAnswer: -71700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvmvivmm. What is prob of picking 1 i and 1 v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 + 8*c - 23*c**2 - 67*c - 5*c - 73*c.\nAnswer: -24*c**2 - 137*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, b: 3}. Give prob of sequence pp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3001515160 and 2599?\nAnswer: 3001512561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 51\/10, -4, -0.2, -4\/7, 37, 1\/3, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 9:56 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -112145371.1 - -0.06?\nAnswer: -112145371.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/((6\/3)\/(-1)). What are the prime factors of n + (0 - -10) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r + 84 + 2*r**2 - 74 - r**2 + 14*r. Give g(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 534 = 1941. Let g = 401 + j. Suppose g - 62 = 2*i. What are the prime factors of i?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 546 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-10) - (16\/20)\/2. Let b be (6\/40)\/((-6)\/(-8)). Let n(i) = i - 2. Let k be n(2). Sort b, k, a.\nAnswer: k, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1232, -2498, -3764, -5030, -6296?\nAnswer: -7562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 7 (b) -5 (c) 2 (d) -0.13504 (e) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 5.606.\nAnswer: -2.803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 91.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7043724761.\nAnswer: 71, 99207391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2. Let f = -18 - -12. Let k(g) = -7*g**2 - 5*g - 5. Let d(q) = -4*q**2 - 3*q - 3. Let o(z) = f*k(z) + 10*d(z). Determine r(o(h)).\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24\/44297 + -207354737\/885940. Let k = -234 - n. What is the third smallest value in -0.5, 0, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(18\/(-16))*15\/(-10). Let t be (0 - 1\/o) + 1009229\/116. What is t rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 14 - 190*r**2 + 62 - 3 - 23 + r**3.\nAnswer: r**3 - 190*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ngnnnggggggnggnngnng. What is prob of sequence nnn?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 5:28 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*m**2 - 13 + 2*m - 27 + 38*m**2 + 0*m + 2*m**4 - 2*m**3 as d*m**2 + g*m**3 + c*m + s*m**4 + v and give v.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27242.\nAnswer: 2, 53, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 15 = -2*n. Suppose -n*j + 4*z - z + 174 = 0, -z = -3*j + 102. Is 13 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-21))\/(975\/525).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-27)\/216)\/((-6)\/8). Is u < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**2*i**2*m + 2*d**2*m**2 - 2*d**2 - 331*d*i**2*m**2 + 46*i*m - 2*i wrt i?\nAnswer: 4*d**2*m - 662*d*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1247 + 6?\nAnswer: 124d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -38028.481.\nAnswer: -38028.481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -193*h + 220*h - 27 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiviivviii. What is prob of picking 1 v and 2 i?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**3 + 3*b**2 - 2*b + 2. Let u be n(2). What is the third derivative of 74*t**2 + u*t**3 + 14*t**3 - 135*t**2 wrt t?\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 1\/4 (c) 2 (d) 1618 (e) 833 (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2142329407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 2*c - 18, -n - 1 = -c + 2. Suppose -6 = 3*s + 9. Put 5, n, s in descending order.\nAnswer: 5, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*q - 68 + 59 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 5*a - 106, 5*a + 2*l + 22432 - 22403 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136 and 94?\nAnswer: 6392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 6*i**2 + 11*i. Let s be o(3). Solve s*n = 4*n - 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 677*b + 714*b - 1390*b. Let f(d) be the third derivative of -11\/24*d**4 + 0*d + 0*d**3 - d**2 + 0. What is o(f(y))?\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2884 and 134624.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -11*w + 1066. Does 34 divide h(-36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 4 = c + 4*q, 49 = 17*c - 2*q for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34843813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(288)*-1*-4)**2.\nAnswer: 115200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*r - 181 + 1 = 0 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2, -10, -24, -44, -70, -102?\n\"Answer: -3*c**2 + c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 432173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1014, 2028, 3042, 4056, 5070, 6084?\n\"Answer: 1014*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 20595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32.625 - 42183.375. Let w = -42210.400108 - z. Let q = w + -5.6. What is q rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*q + 2*q**2 - 13 - 28*q)*(68 - 68 + 2*q) + (2*q - q**2 - 2*q)*(2*q + 3*q - 3*q).\nAnswer: 2*q**3 - 26*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4932 by 6.\nAnswer: -822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22523469?\nAnswer: 3, 2539, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(24\/(-9))*(-4)\/(-118). Let m = -1484\/177 - y. Find the common denominator of -65\/6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -19979, -19977, -19965, -19937, -19887, -19809?\n\"Answer: a**3 - a**2 - 2*a - 19977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -5. Let s(m) = -m**3 + 4*m**2 + 4*m + 3. Suppose -2*p + 0*u = u - 9, p = 3*u + 8. Let v be s(p). Put v, -3, q in descending order.\nAnswer: q, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 w when two letters picked without replacement from {j: 2, w: 1, n: 6, u: 4}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/15)\/i)\/(i*(i**3\/i)\/i*i))\/(i**(-1\/6)\/i**18) assuming i is positive.\nAnswer: i**(141\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1144615 or 97?\nAnswer: 2\/1144615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15069080 by -144895.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13912023.\nAnswer: 3, 53, 59, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -5*g - 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6885137 divided by -983591?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (1 - 1 - 0) + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24*d + 140 - 140)*(12*d - 12*d - 3*d**2) as g*d**3 + a*d**2 + k + i*d and give g.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007265543 rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -17250400 rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -113, -4\/9, -2\/11, 16, -5 in decreasing order.\nAnswer: 16, -2\/11, -4\/9, -5, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7582 + -7588. Sort 1647, 4, n in decreasing order.\nAnswer: 1647, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(297) - (sqrt(297) + (sqrt(297) - 1*sqrt(297)*-6)))\/(sqrt(176) - (sqrt(176) + (sqrt(176) - sqrt(176)*1)) - sqrt(11)))*-3*1.\nAnswer: -63*sqrt(3) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1827 (base 11) to base 14.\nAnswer: bc4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 0. Let a be t\/(-1)*15\/(-1). Is 18 a factor of a\/(-10)*2*6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-4)\/(-1) - 5\/(-5) and 49.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.401148 and 23053547.\nAnswer: 23053545.598852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of d**5 + 2*d**4 - 7*d**3\/3 + 6*d - 5. Let o(u) = 4*u**4 + 7*u**3 - 6*u**2 + 5. Let y(n) = 6*o(n) - 5*x(n). Factor y(k).\nAnswer: -k**2*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -12 - (1 - -9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eoececicineiiincince. What is prob of picking 1 i and 2 e?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9c9 (base 15) to base 13.\nAnswer: -1014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 185169231 a multiple of 589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1415 (base 9) in base 16?\nAnswer: 42b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1043 + -1037. What is the remainder when 12\/18 + 115\/3 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {q: 2, f: 2, g: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 1064*s + 272. Let q be a(17). What is q rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -735 = -6*a - 46*a + 157*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(102) + sqrt(102) + sqrt(102)*3) - sqrt(102))\/(sqrt(486)*1).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**3\/4 - 485*c**2\/4 - 1469*c\/2 - 982 = 0?\nAnswer: -4, -2, 491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5*u**2 + 70*u + 3. Let o be z(14). Let m(n) = -n - 3. Let i be m(-7). Let c = o + i. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87 - 43. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1302779.\nAnswer: 59, 71, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 3*j**5\/4 - 250891*j**4 - 1170843*j**3 + 1338097*j**2\/2 + 4683369*j\/4 - 836315\/2 = 0.\nAnswer: -5, -1, 1\/3, 1, 334526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -141 + -129. Let c = 270.000000257 + u. Round c to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 6*y**5\/11 - 324*y**4\/11 - 1488*y**3\/11 + 5184*y**2\/11 + 22272*y\/11 = 0.\nAnswer: -4, 0, 4, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -15. Let d be f + -3769 + -3 + 4. Let z = -1767 - d. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7976 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 30 = 5*y - 5*b, -4*b + 28 = 2*y. Suppose y*p = 666 + 278. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 7*g + 10. Let t be i(-8). Let h be 114*(1\/t)\/(-1). Let v = -32 - h. Calculate the remainder when v is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x**3 + 2*x**2 + 2*x - 8. Let z(r) = -3*r**3 + 3*r**2 + r - 9. Let n(q) = -2*c(q) + 3*z(q). Let m be n(5). Is -8 greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11193 or -2?\nAnswer: 11193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34\/33 - 7\/11. Let w = 955.6 + -950.6. Which is the closest to -3? (a) w (b) -2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*(-1)\/144*(-8)\/(-6)*3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -404 + 404.1. Let g = -122 + 120. Which is the nearest to 0.1? (a) g (b) y (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 363*t**2. Let j(o) = 63*o - 48. Let n(m) = 13*m - 10. Let f(z) = 5*j(z) - 24*n(z). Calculate f(w(x)).\nAnswer: 1089*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*o + 14, -2*z - 30 = -5*o - 8. Suppose 5*l - 433 + 98 = -o*u, l - 254 = -3*u. What are the prime factors of u?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00041157617 to 6 decimal places.\nAnswer: -0.000412","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-736)\/345*-3*1\/4)\/((-20)\/(-650)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76 - -128. Suppose x*y - 57*y = -175. What is the first derivative of -z**4 + 35*z - 17 - y*z wrt z?\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 467, 431, 395, 359, 323, 287?\n\"Answer: -36*w + 503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118188 is divided by 16873?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 70895440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 11:13 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 16) to base 5\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-6*3\/10)\/((-1)\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 63242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 385 = 5*i, -5*s = -i - 516 - 79. Let x(l) = l**3 - 36*l + 15. Let f be x(6). What is the highest common factor of s and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -287?\nAnswer: -28a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4529 is divided by 413.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 9*w = -6*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnonohonoonon. Give prob of sequence hn.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -8 - 0 - (-14 - -11) - -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 9*g**2 - 3*g + 2. Let b be x(2). Suppose -8*d + 4*d = -b. Let h(v) = d*v - 5*v + v + 3*v. Let s(r) = 2*r**2. What is h(s(l))?\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -37, 5, -10680, 2.\nAnswer: -10680, -37, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 6:50 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -21434\/39 < -550?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3607862 - 354911. Let i = 2304327 - c. Let j = i + 1538624. Round j to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4354, -4352, -4344, -4330, -4310, -4284, -4252?\n\"Answer: 3*n**2 - 7*n - 4350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - v + 2. Let y(b) = -4*b**2 - 3*b + 6. Let i(p) = -3*r(p) + y(p). Let m(c) be the second derivative of -163*c**4\/3 + c - 9. What is i(m(u))?\nAnswer: -425104*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 128*a**3\/9 + 67616*a**2\/9 - 16922*a\/3 + 1058 = 0. What is a?\nAnswer: -529, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3755406457\/2826 + -1328877. Calculate the common denominator of g and -149\/6.\nAnswer: 2826","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 123743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6368602155239\/615663 - 10344299. Let j = -127852723\/12313260 + g. Let n = j + 2\/15. Calculate the common denominator of -109\/14 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0572 + 0.0428. Which is the nearest to u? (a) 0.31 (b) -3\/4 (c) -2\/5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 18515, 74117, 166833, 296699, 463751, 668025, 909557?\n\"Answer: 6*t**3 + 18521*t**2 - 3*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -50?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0035855 to five decimal places.\nAnswer: -0.00359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-403 - -388) + (0 - 8) - (7 + -1 + -3)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5257851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79 + 79.1. Let m = 1.2 - 0.2. Let x = m + 0. Which is the closest to x? (a) 2\/9 (b) -2\/5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1089384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.075532716 to 3 dps.\nAnswer: -0.076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 10:56 PM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 49, -46, -0.2, 429, 3, 0?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2 + sqrt(1331) + 1)**2 + sqrt(1331) + -2*(sqrt(1331)*-2)**2 + sqrt(1331) + 1 + 0.\nAnswer: -9319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ciciici. What is prob of picking 3 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6077925 divided by -7945.\nAnswer: -765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q - 2*q - q**3 - 6 + 2*q**2 + 3*q. Let s(n) = 6*n + 117. Let j be s(-20). Is 5 a factor of i(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-2))\/((-4)\/((-8)\/(-6)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**2 + 589 - 2*p**2 - 587 - 13*p + 0*p**2. Determine m(15).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1794692, -3589441, -5384190, -7178939, -8973688, -10768437?\nAnswer: -12563186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182629 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v**4\/5 + 12*v**3\/5 + 36*v**2\/5 + 4*v\/5 - 12\/5 = 0 for v.\nAnswer: -1, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 0, 48, 2 in decreasing order.\nAnswer: 48, 2, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 6:00 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + -2 + -1 + (sqrt(242) - (sqrt(242) - (2 + sqrt(242)) - sqrt(242)))*3 + sqrt(242) + 5)**2.\nAnswer: 1408*sqrt(2) + 15552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 98 divided by -49\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.4 + -2.2. Let u = q + 0.2. Let f = 2 + -1.9. Sort u, 1\/2, f in descending order.\nAnswer: 1\/2, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*-1*(0 - 3). Let m = 2 + c. Suppose -39 - 31 = -m*r. What is the least common multiple of r and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*g + 8 = 0. Let q = 801 + -793. Calculate the greatest common factor of g and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/3, 2\/7, 0, 1.4528.\nAnswer: -5, -1\/3, 0, 2\/7, 1.4528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.41340052 - 3.\nAnswer: -2.58659948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5687249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 10:56 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 40.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 2:46 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -415*r**2 - 7*r - 5. Determine m(1).\nAnswer: -427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/60 and 39\/115?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 0.1, -2258, 0.4, -9, 11 in ascending order.\nAnswer: -2258, -9, 0.1, 0.4, 1\/2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6117 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33227*n**3*s*z + 712*n**3*z + 6*n**2*z - 17*n**2 - 5*n*s - 2*n*z - 2*s*z + s - 15 wrt n.\nAnswer: 199362*s*z + 4272*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/4 of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4289869 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 4*x + 18, c + 0*c + 2*x = 24. What is the greatest common divisor of 20 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1058, -2119, -3180, -4241?\nAnswer: -5302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1019 divide 53975411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -13*t**3\/6 + 20*t**2 - 50*t. What is the tens digit of r(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((0 - -5) + -2)*(-12)\/(-36)*32987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3097.99999816 + -3098. Round l to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.36 + 0.36. Let l = 2 + j. Is l equal to -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -136364, -272742, -409132, -545534, -681948?\n\"Answer: -6*v**2 - 136360*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9430 and 460.\nAnswer: 18860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -515638, -1031277, -1546916, -2062555, -2578194, -3093833?\n\"Answer: -515639*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9.547936 years?\nAnswer: 0.9547936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 4*s**3 - 27733*s**2\/2 + 376335*s\/2 + 72513 = 0.\nAnswer: -3\/8, 14, 3453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 9*p**2 - 7 - p**2 - 13*p**2 - 2*p**2 + 9*p**2 - 6*p. Give r(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 221195 + -221197. Let n(i) = i**2. Let s(u) = -3*u**2 + 3*u + 3. Let a(v) = 6*n(v) + s(v). What is a(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -935132 divided by 4.\nAnswer: -233783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-1)\/(-4)*(-10)\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37\/6 - -23\/3. Suppose 0 = 5*l - 4*l + 2. Which is the third biggest value? (a) z (b) l (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-16))\/((-1111)\/(-101)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/6520 and -48.\nAnswer: 6520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 9096?\nAnswer: 9096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/(-6))\/(1\/3))\/(-4)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -6 - 6. Let a be -2*(f + -2) - -4. Suppose a*i = -i. What is the nearest to i in -2\/9, -0.4, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 4*u + 27738, -c = -4*u + 8*u - 27698. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-20)*8\/(-48) - 189\/(-756).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 3*x - 2. Let j be m(-4). Let y be 10 + 1 + 1 + 0. Suppose 2*k = -j*k + y. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299887039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 106\/9 + (-14)\/(-63). Let x be 8*(1 - (-3)\/c). Let m = -6 + x. Calculate the remainder when 15 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.8 + 15. Put 4, v, -0.4 in decreasing order.\nAnswer: 4, v, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (288\/(-2835)*-5 + 6\/(-27))*77?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 2:59 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 7:38 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 56521000 to the nearest one hundred thousand.\nAnswer: 56500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 18*k + 45. Let d be c(-15). Solve d = -16*i + 11*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**2 + 75517 - 37754 - 2*a**2 - 37763.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295292894.\nAnswer: 2, 13, 11357419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*n - 19571, 349*n - 354*n = 3*x - 32593. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7474 - 7418 + 27*p**2 + 111*p**2 as f*p**2 + b + o*p and give b.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/110035 and -31\/4103?\nAnswer: 1210385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62.7 - -62. Let g = l + -0.3. Sort g, -3, -0.1 in descending order.\nAnswer: -0.1, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19\/306 + 1\/18. What is the second smallest value in y, -2\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 12:39 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*q - 32 = 4*t + 66*q, 2*q - 24 = 2*t. Let b(w) = -w**2 - 2*w + 80. Determine b(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/16*-4)\/(-1). Let w be ((-19)\/(-2))\/(4\/72). Let j be 6\/33 - w\/33. Put b, 4, j in decreasing order.\nAnswer: 4, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 373670 by 37367.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 less than -28.49?\nAnswer: -20.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l + 3. Give r(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-371*q**2 + 272*q**2 + 318*q**2)*(-51 + 51 - 11*q)*(-5*q + q + 0*q) in the form j*q + u*q**3 + t + h*q**4 + i*q**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.09, -0.4465, -1\/6 in decreasing order.\nAnswer: 1, -0.09, -1\/6, -0.4465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2440, -5171, -8090, -11197?\nAnswer: -14492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 4\/5 (c) -7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4*p**4\/5 - 2654492*p**3\/5 + 10617924*p**2\/5 - 13272388*p\/5 + 5308952\/5 = 0.\nAnswer: 1, 2, 663619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5663363\/114 + 49680. What is the common denominator of m and -133\/36?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-56)\/8 + -93)\/1. Let z = d - -127. Solve b + 14 = -2*q, 3*b + 5 + z = -4*q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/53 (b) -2\/9 (c) 4\/81 (d) -0.128\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f + 13 - 11 - 13*f**2 - 2 to the form p + h*f + j*f**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/11? (a) -4 (b) 3 (c) 5 (d) 13 (e) 63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 358101567 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: Let b(s) = s**3 - 97*s**2 - 74*s - 2344. Let t be b(98). Solve 26 = 5*h + 3*k, -t*h + 6*h - 2*k + 12 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2663 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a. Suppose m = -3*g - 15, g - 2*m = -m - 1. Let c be (-5)\/(-20) + (-15)\/g. Let t(r) = -5*r**2 - 6*r**2 + c*r**2 + 2*r**2. Calculate t(j(v)).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 40564\nAnswer: 4056.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiii. What is prob of sequence iiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 2\/15, 15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -29\/39 at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.89283714 to four decimal places.\nAnswer: -0.8928","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 1:23 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.077 + -0.577. Let l = -0.9 + -3.1. Which is the closest to -2\/5? (a) i (b) 1\/6 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeeeee. Give prob of picking 4 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 11:46 PM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -16*m. Let d = 70 + -37. Let w(j) = -19 + 3*j**2 - 13 + d - 1. Give i(w(h)).\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-76)\/36)\/(14\/4). Let z = -8\/21 - u. Let q = 0.5548 - 0.3548. Sort 1\/3, q, z, -0.2 in decreasing order.\nAnswer: 1\/3, z, q, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-21)\/15*1\/7)\/(-1). Suppose n*v - 1\/5*v**2 + 6\/5 = 0. What is v?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 6*z - 6. Let k(x) = 2*x - x**2 + x**2 + 4*x**z - 1 + 8. Is k(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-2) + 66\/(-12). Let d(c) = -6*c**3 + 2*c - 1. Let z(q) = -13*q**3 + 5*q - 3. Give r*d(i) + 2*z(i).\nAnswer: 4*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**3 - 16*w**2 + 4*w + 6. Give q(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 8248 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 926 a factor of 140757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 141596965\/9 bigger than 15732997?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 950262485?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143 and 103763?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43248 and 280772?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -1\/4, 7\/11, -5 in decreasing order.\nAnswer: 7\/11, 1\/5, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 0*x + 1 + 7 - x - 5. Let l be j(2). Let z be 4\/2 + (2 - l). Solve w + i = -z*w + 22, -w = -4*i + 3 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11831249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 divided by 1.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2070*v - 4113. Calculate a(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 - a - 4. Let u be -1 - (-2)\/((-6)\/(-3)). Suppose 5*b - 11 = g - u, 5*g = -2*b + 26. Does 11 divide v(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 715.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**4 - 260335*f**2 - 5059131*f wrt f?\nAnswer: -24*f**2 - 520670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-25))\/(253\/(-3795))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)\/sqrt(8))\/sqrt(8)*-3)**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.89 + -3.49. What is the closest to -1\/2 in -1\/10, -5, d?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 141*i**2 - 3*i + 3. Suppose -r - 4*m + 9 = 0, 5*r + 2*m = 7*m - 5. Let t be l(r). Suppose -29 + t = 7*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2 + v - 18. What are the prime factors of o(6)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2. Let d = -19 - -23. Let m(y) be the second derivative of 2\/3*y**3 - d*y + 0*y**2 + 0. Calculate m(g(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 - k + k + (k - 2*k - k)*(3*k + 0*k - k) - 3 - 2*k**2 + 3 to p*k + d*k**2 + u and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r*r*r\/r**1))*r*r*r**2*r*r)**4 assuming r is positive.\nAnswer: r**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11170560 divided by -3?\nAnswer: 3723520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*a. Suppose 4*o - 5 = -a*p - p, -4*o = -8. Let f be (3\/(-9))\/(2\/6). Put 0, f, p in decreasing order.\nAnswer: 0, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -7 (b) 0.01 (c) 3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 8*j - 24. Let w be c(2). Let u be 3 - ((-7860)\/70 + w\/(-28)). What is the greatest common factor of u and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 0*f + 3*f**4 - 188 + 2*f**2 - 4\/5*f**5 - 4*f**3. Suppose j(t) = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2597 and -10?\nAnswer: 25970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*z = z + 24, 4*u + 4*z - 56 = 0. Does 9 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhghhhhhhhhhhghh. What is prob of picking 1 g and 3 h?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n - 71. Let p be q(-15). What is the third derivative of -9*s**4 + 4*s**4 + 8*s**4 - 32*s**2 + 0*s**p - 5*s**3 wrt s?\nAnswer: 72*s - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23560.01 - 23561. What is the biggest value in -0.3, t, -0.83?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(((-24)\/(-22))\/(-6))?\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 + 35360453?\nAnswer: 35360461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 8*f + 22. Let b be x(5). Suppose 0 = s - b + 34. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116502.\nAnswer: 2, 3, 19417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 4*z**2 + 6*z + 3. Suppose -f - 4 = h + 6, 0 = -2*f + h - 8. Calculate x(f).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 31 = b + 4*i, 2*b - 7 = i. Suppose 5*y = 5, -n - 2*y + 2 + b = 0. Suppose 0 = m + 2*m + n. Which is smaller: m or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -1085*j + 207. What are the prime factors of b(-4)?\nAnswer: 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(300)*-3 + (4*sqrt(135)\/sqrt(5))\/sqrt(9))*1 + -4)**2*-3.\nAnswer: -152148 + 3120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -1) + 0 + 8 - (4 + 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 300588592 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: Calculate (0 - (6 + -3)) + (7 - 13).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 11*p**6\/40 - p**5\/60 - 8*p**3\/3 - 245*p**2. Find the third derivative of x(z) wrt z.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 13 = 5 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69431226*o**5 - 30306*o**2 + 6*o - 2?\nAnswer: -4165873560*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*z**3 + 191990*z**2 + 83424400*z + 33339040 = 0 for z.\nAnswer: -412, -2\/5, 8092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**3 - 11*a**2 + 5*a - 12. What is c(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 2*l**2 + 2*l + 810. Let a be r(0). Suppose -14*x + 24*x = a. What is the remainder when x is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/(-20) - (-3 - -2)\/1.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + 3*o - 5*y + 16, 4 = -o - 4*y. What is the remainder when -2 + ((-132)\/(-4) - -2) is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 145 - 288 + 161*h + 143 as l*h + w and give l.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-3 - -7) + -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a - 6131440 + 6131440 - 2*a**2.\nAnswer: -2*a**2 - 11*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -34, -94 in decreasing order.\nAnswer: -34, -39, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l + 0*l + l - 1995*l**3 - 12*l - 3935*l**3.\nAnswer: -5930*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 12.02. Sort q, -4, -1\/2.\nAnswer: -4, -1\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 5180398\nAnswer: -518039.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.39 * -151057.\nAnswer: -58912.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 528709824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-47)\/(-6110)*143)\/(1\/30).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24526 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -5b10?\nAnswer: -5b07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 25063737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -7*q**4\/4 + 3*q**2\/2 - 6. Find the second derivative of g(v) wrt v.\nAnswer: -42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f + 24 = 29*f. Suppose -f*i = 3*o - 32 + 5, 15 = 2*i + 3*o. What is the remainder when 177 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1864*13836\nAnswer: -25790304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*35607214.\nAnswer: 7121442.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*v - 3377 = -14*v + 512 + 951 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -116 + 121. Let d = 1 + -1. Suppose 3*a + c*s - 90 = -2*a, d = -s + 4. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuurrmruururr. Give prob of picking 3 u.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -960127, -960225, -960339, -960475, -960639?\nAnswer: -960837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 553477.\nAnswer: 293, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127485196.\nAnswer: 2, 43, 741193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 25 = -5*s + 2*k, -3*k - 15 = 3*s. What is the hundreds digit of s\/(-10)*(733 + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-1)\/61*(-9 - 28*(-31)\/124)?\nAnswer: 4\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5 = 0, -14*w + 10*w + 126 = 2*c. Solve 0 = -w*b + 40*b + 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, o: 1, s: 2}. Give prob of picking 2 z.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 875 = -744*t + 749*t. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k + 10. Let c be f(7). Suppose -2*z - c = -2*q, q + z - 4 = 4. Let n(y) = -y**3 + 6*y**2 + 8. What is the lowest common multiple of n(6) and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 10*r**2 - 2*r - 10. Let g be (-12)\/(-8) + 5\/(-2). Let k be ((-3)\/g)\/((-9)\/30). What is the least common multiple of y(k) and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3165 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13618 - 13614. Let v = -1.95 - 0.05. Sort 2\/9, r, 0.1, v.\nAnswer: v, 0.1, 2\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 525*g**3 - g**2 + 9*g - 10. List the prime factors of k(2).\nAnswer: 2, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7704 is divided by 817.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.149 - 3.851. Sort 0.5, -1, -424, q in descending order.\nAnswer: 0.5, -1, q, -424","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60 - 40. Let o be p\/9 + 2\/(-9). Find the second derivative of -4*x + x + o*x**2 + x wrt x.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/(-91)*32\/(-48) + (-2 - (-3591)\/49).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-5\/3)*j\/j**(-3)*j)**15 assuming j is positive.\nAnswer: j**65","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 divided by -858719?\nAnswer: -56\/858719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1345.349 - -1.651. Let n = -1341.11 + l. Round n to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 - -50. What is the tens digit of ((-5112)\/(-15))\/g + (-3)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139977625.\nAnswer: 5, 1119821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55958335 is divided by 3031?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 7*w = 5*g - 1156735, -4*g + 2*w = -925388. Is g 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 89\/80 and 3\/32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6723\/(-459) + -17 - -32.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47316450 by -2.\nAnswer: -23658225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -7052\/16223?\nAnswer: -7052\/16223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42585 and 1545.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14584 and 91150.\nAnswer: 364600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 359 = -4*v + 5*l, 5*l = 15. Does 3 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 992 and 87104?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4741642 + -4741610.00317. Let i = 32 - s. What is i rounded to 4 decimal places?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -116.4 + 116. Put -4, 2\/21, i in decreasing order.\nAnswer: 2\/21, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -24277367, -48554725, -72832083, -97109441, -121386799?\n\"Answer: -24277358*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 12*u - 3 = 0, 4*z - 4*u - 6372 = 0. What are the prime factors of z?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4100 + 4141. Calculate the remainder when 194 is divided by t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 20 = -a, 3*a = -0*a + 3*q + 30. What is the hundreds digit of 0\/(-1) - -14*420\/a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8173 divided by -743\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24.1 + -24. Which is the closest to 0? (a) 1\/6 (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62 and 158?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54096 - -54096.1. Let m = -0.9 + -0.1. What is the closest to c in m, 0.2, -1\/17?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 22 + 2792. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3519 + 3556. Let c = -46 + 78. Suppose -c = n - s. Solve n*g - 16 - 4 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = 3*s + 6*y, -1594*s + 74 = -1599*s - 2*y for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30772761 <= 30772736?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.2505 * -358.\nAnswer: -1879.679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - k = -3. Let p = 4943 - 39545\/8. Which is the closest to k? (a) p (b) -2\/13 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 14*i - 70. Suppose 13 = 16*n - 131. Let m be o(n). Let b = -68 + 110. What is the greatest common divisor of m and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2644*i + 8287*i + 7779*i - 3807*i.\nAnswer: 14903*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1792)\/128)\/(21\/(-18))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-19 + 32 - 11) - 16?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -164.674517 rounded to the nearest integer?\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-11))**18 assuming u is positive.\nAnswer: u**216","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*o - 2*u - 6, 21 = o + 3*u. Let z(c) be the first derivative of c**4\/4 - 13*c**3\/3 + 7*c**2 - 9*c + 132. Determine z(o).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -85 + 89. Suppose -17*p + 3268 = -13*p - 4*c, -c = -d*p + 3274. What are the prime factors of p?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g*t**2 - 147*g*t + 101*t**2 wrt t?\nAnswer: 2*g + 202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 756734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**3\/6 + 661*q. Let f = -8 + 10. What is o(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.2 + 7. Let j = 25.67 + -24.67. Which is the second biggest value? (a) j (b) 8 (c) -4 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 - 30*z**2 - 227*z - 342.\nAnswer: -(z + 2)*(z + 9)*(z + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 333, -5, 44, 5, -3 in decreasing order.\nAnswer: 333, 51, 44, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1281891635\/2568 - -499179. Calculate the common denominator of g and -73\/12.\nAnswer: 2568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1031490 and -90.\nAnswer: 1031400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 10*b**2. Let y(d) = 4*d + 20. Let m(n) = 1. Let c(o) = 20*m(o) - y(o). Calculate p(c(u)).\nAnswer: 160*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 4*t**2 - 7*t + 19. What are the prime factors of v(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -1\/530, -0.1, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -162105 equal to 2\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 48\/7 of a week?\nAnswer: 69120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36551797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + v**3 + 2*v - 5*v + 0 - 6 + 2*v. Give h(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c3738 + 4?\nAnswer: -1c3734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, -1, 0.4, 1.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 0.3 (b) -4 (c) -14\/3 (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**7\/42 + d**6\/3 - d**5\/2 - 25*d**4\/3 - 125*d**3\/6 - 28*d**2 + d. Let t(o) = 0. What is o?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 206\/1559?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4770071766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 - -5.7. Which is smaller: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 459\/969*2\/9.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11070 = -503*r + 34703 for r.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 4*q - 95. Let x be 17\/(-3) + 1\/(-3). Let c(k) = -23*k - 5. Let u be c(x). Calculate the highest common divisor of q and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144 and 108?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 7*z + 4. Determine w(-7).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-3) + 1664\/(-260).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5*(1911\/(-819))\/(1 - (-32)\/(-18))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*o**2 + 74*o**2 + 125*o**2.\nAnswer: 229*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/2369451 and 23\/1015479?\nAnswer: 7108353","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**9\/60480 + f**5\/15 - 4*f**2. Let c(b) be the third derivative of q(b). Let c(s) = 0. What is s?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5820 rounded to the nearest 100?\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*b + 21 = 7*f, -3*f - 3*b + 27 = 0. Suppose 80 = 2*y + f*y. Solve y*j = 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5526192250 to the nearest integer?\nAnswer: 1768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 7 = -4. Let y = 0.5 + 5.3. Let o = 6 - y. Which is the nearest to d? (a) 4 (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*z**2 + 100373772*z + 20074754.\nAnswer: 2*(z + 10037377)*(5*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 736092 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 11:10 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 3*i - 8 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - (-5 - -1)) + 3. Suppose 4*q - 2*r + 26 = 0, 0*r - 31 = 4*q - b*r. Let s be 99\/36 - (-3)\/q. Solve -s = 4*g - 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1310 + -2?\nAnswer: -1312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 0*s + 2*s)*(-4*s**2 - 2*s**2 + 4*s**2) + 2880*s**2 - 1 + 1 + 465*s**3 - 2880*s**2.\nAnswer: 459*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {z: 5, i: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2042140 (base 6) in base 7?\nAnswer: -561411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9094 - -9090. Let m(l) = -l + 2. Let z be m(4). Put 4, -15, z, j in ascending order.\nAnswer: -15, j, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 5*h - 10, 2*z = z + h + 4. Suppose 26 = -z*c + 83. Let a = -11 + c. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/7, -2\/11, 11\/20?\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 526.0765ng in milligrams?\nAnswer: 0.0005260765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 86340000 to the nearest 1000000.\nAnswer: 86000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/1113*(0 - 3\/6)\/((-12)\/(-24))?\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-170)\/(-340))\/(((-4)\/1)\/(-32)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 12 = -3*g - 42, s = 3*g + 21 + 9 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times -55376.908\nAnswer: 1107.53816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.06, 1, -9, -1378, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 28 (base 12) to base 11\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -55*j**2 - 17*j - 8. Let x(z) = z**3 + 110*z**2 + 31*z + 15. Give -11*i(u) - 6*x(u).\nAnswer: -6*u**3 - 55*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 325381.\nAnswer: 1\/325381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 14 = 2*l + 2*b, -3*b - 15 = -2*l. Let h = -4 + l. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76751.7 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 163413*w**2 - 8792*w wrt w.\nAnswer: 326826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 100*y + 14. Calculate the remainder when i(1) is divided by 177*14\/(-28)*(-4)\/6.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 w when three letters picked without replacement from jjjjjwww.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.48 - -0.46. Let r = 0.02 + w. Let d be (-8 - -10) + (1 - 0). Put 0, d, r in increasing order.\nAnswer: r, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -7274*l + 50914. Determine p(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (4 - (5 + -2)) - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.9602029 to two dps.\nAnswer: 19.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/9 (b) -0.5 (c) 2.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20900 rounded to the nearest 1000?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 781 + 877. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -4*k + j, -4*k + 8*j - 4*j = 36 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-1.45637.\nAnswer: -0.728185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + 45. Let u = c - 0. Suppose 5*j = -2*h + 226, -j - h + u = -3*h. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-3) + 1600\/6. Let u be (6 - 2)\/4*(67 + 14). Suppose a = m + u. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 10*d + 25. What is the remainder when h(9) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -335.\nAnswer: -4\/335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -10160*y - 507695. What is o(-50)?\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 + -13. Let g(s) = 4*s - 2. Let l be g(5). Let n(y) = -y + 24. Let p be n(l). Solve -x = -p*x + c for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r - r + 5 + 1. Let y(l) = l**3 - l - 1. Let h be y(-2). What is the remainder when j(h) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 10) + 7 + -3 + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -3, -54, 2.5, 0.2, 1?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 20*q**2. Let x(w) = -32*w**2. What is m(x(b))?\nAnswer: 20480*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/sqrt(64) + sqrt(17) + ((sqrt(68)*-1)\/sqrt(4))**2.\nAnswer: 5*sqrt(17)\/4 + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 3*n + n)*(1 + 3 - 2) - n + 0*n + 4*n + (-3 + 6 - 4)*(-9*n + 27*n + 7*n).\nAnswer: -26*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6709 - -6714. Solve a + 2*c = 0, 8*a - n*a - 10 = 4*c for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 6*p**2 - 5. Let t(g) = 6*g**2 - 4. Let n be (20\/12 + 0)*3. Give n*t(y) - 4*l(y).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((220 - 99) + -28)*1\/(3\/(-3)).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4393 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-16)\/((-64)\/36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 11:23 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -125\/264 - -7\/24. Which is the second smallest value? (a) -1\/2 (b) -3\/4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10102 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: Let g(l) = -l**2 + 3*l - 3*l. Let a(y) = 17*y**2 - 26. Let t = 764 + -763. Let i(v) = t*a(v) - 2*g(v). Find the first derivative of i(c) wrt c.\nAnswer: 38*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4203 + 4220. Let g = -37 + 54. Is i at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w**4\/3 - 60590*w**3\/3 - 131103776*w**2\/3 + 37463168*w\/3 = 0. What is w?\nAnswer: -4328, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 50924*g - 50919*g + 10, 0 = -2*b - 9*g + 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**2 - 227*i - 20*i**2 + 29*i**2 - 5*i**2 to k*i**2 + w*i + z and give w.\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 367*d + 362*d = 14, 4*h + 4*d = 8 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14021341 (base 8) in base 7?\nAnswer: 35546152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 193937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 - z + (-z - z + z)*(-1 + 4 - 2) + (-2*z + 4*z - z)*(6 - 4 + 6) in the form i + v*z and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2. Let i(s) be the first derivative of 155*s**2 - 933. What is k(i(r))?\nAnswer: -192200*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 6*m + 1. Let j be a(-6). Suppose -16 = -0*r - 8*r. Suppose -2*c = -2*z + 2, c - 6 = -r*z - j. Solve -3*l + z = -5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - -137. What are the prime factors of i?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1 times 0.2?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 2.1 (c) -9 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*t + 19*t = 14 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 633 + -12653\/20. Which is bigger: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 151 - 58 = 0. Let c = -31 + f. Which is smaller: -2\/29 or c?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*sqrt(832))**2.\nAnswer: -32*sqrt(13) + 3329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c**3 - 44*c**2 - 46*c - 1. Let n be y(-1). Solve n*b + 4 = -2*k, 7 = -4*k + 19 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9604 - -9609. Solve -g*j = -c + 18, c + 47*j = 49*j + 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/(-15) + 1390\/6. Suppose -3*s + 522 = c, 115 + f = 2*s - 5*c. Suppose -4*m + 122 = -s. What is the smallest common multiple of m and 10?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1572*a + 1716 = 1416*a for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 5 (c) -447 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x - 4. Calculate k(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*r - 6*r. What is the hundreds digit of ((-2)\/6)\/((r\/1428)\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2772.178996 - -1161.\nAnswer: 3933.178996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 56. What is the greatest common factor of 60 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2 - 21*h + 19. Let w be k(-11). Suppose -4*i - 3*j = -47, 5*i + j = -j + 57. Suppose w*x + 6951 = i*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 6 - ((-9 - -15) + 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 45\/(-54) + (-56)\/336. What is the nearest to -12 in -0.5, 0.1, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103311?\nAnswer: 3, 13, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -112106 - 12632?\nAnswer: -125041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.7 - 4. Let o = q + 0.3. Which is the second biggest value? (a) 0.1 (b) o (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -3*z**4\/4 - 9*z**2\/2 + 108*z + 2. Let j(c) = 5*c**2 + 5. Suppose 0 = 3*l - 20 + 2. Give l*u(n) + 11*j(n).\nAnswer: n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**5 - 32*f**4 - 120*f**3 - 128*f**2 - 44*f.\nAnswer: 4*f*(f - 11)*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o + 1. Suppose -13*y + 84 = 8*y. Let i(t) be the third derivative of -t**4\/8 - t**3\/6 - 3*t**2. Let d(f) = y*w(f) - i(f). What is d(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*s + 15*s - 21*s + 3*s**3 - 36*s**2 + 10*s**3 + 36*s**2 + (-s + 4*s - s)*(3*s**2 - s**2 - s**2) + 2*s**3 + 0 + 0.\nAnswer: 17*s**3 + 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + (sqrt(539)*-1)**2 + sqrt(539))*-4.\nAnswer: -2156 - 56*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14532*h**4*o - h**3*o + 182311*o wrt h.\nAnswer: 58128*h**3*o - 3*h**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33759804, -67519606, -101279408, -135039210, -168799012?\nAnswer: -202558814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -879 + 1619. What are the prime factors of q?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480 = 5*s - 3*d, -2*s + d + 41 + 150 = 0. Let l(w) = 27 + 2*w - 9 - 10. Calculate the remainder when s is divided by l(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -295 + 651. Suppose 5*h = i - 101. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-500)*(-54125)\/(-12990) + (-7)\/(-8)\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 2 (c) 1\/14 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -6*g. Let l(b) = b - 2. Let r(s) be the first derivative of -2*s**2 + 9*s + 1. Let h(c) = 18*l(c) + 4*r(c). What is h(q(x))?\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3\/2*m**2 + 3\/2*m**4 - 3\/2*m**3 + 3\/2*m + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2234383195 to the power of 1\/3, to the nearest integer?\nAnswer: 1307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11764051903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3477115 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 389 = 2*m, -m + 4*m - o - 584 = 0. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -503*p + 1004. Calculate z(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4478720475?\nAnswer: 3, 5, 47, 1270559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 3 + 3. Find the common denominator of 97\/4 and (0 - c) + 83\/(-20).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10078825 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -447898.2+-0.4181\nAnswer: -447898.6181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221781255.\nAnswer: 3, 5, 971, 15227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/49*(7 - 0). List the prime factors of 1\/u*6 - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-32)\/(-4))\/(-2))\/((-10)\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -36*m - 2. Let l be p(-4). Suppose s + t - l = -t, -5*t - 503 = -4*s. Suppose -3*n = -7*n + s. What are the prime factors of n?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10920 = -61*b + 165*b. Solve -129*t - b = -150*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10537*v**3 + 186 wrt v?\nAnswer: -31611*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 + 399407788*c - 19940822639381618.\nAnswer: -2*(c - 99851947)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -383*j - 2. Let n(x) = -x - 1. Calculate 3*n(f) - z(f).\nAnswer: 380*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 4. Let c(w) be the first derivative of -2*w**2 + 21*w + 1. Let h(n) = 2*c(n) + 11*p(n). Differentiate h(d) wrt d.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 7308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*4*(-15)\/(-80). Suppose -q*d = -9*d. Let u = -15 - -10. Sort 8, u, d.\nAnswer: u, d, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 147148?\nAnswer: 147148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 r when two letters picked without replacement from rcjrmqy?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -22254284 (base 9) in base 11?\nAnswer: -60a5376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9220 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6\/7))**(2\/27)\/(z**(-11))**(-2) assuming z is positive.\nAnswer: z**(-1390\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 196 + -118. What is the units digit of z\/(-8)*16\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 16*o**2 - 11*o + 2. Let q be r(14). Suppose 9*l = 4*l + q. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 567 = 3*f. Suppose 3*y + 2*a = 435, -35*y - 5*a - 456 = -38*y. Suppose 4*v - f = y. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 - 243*m**2 - 878*m - 312.\nAnswer: (m - 52)*(m + 3)*(5*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(153)\/(sqrt(9) - (sqrt(9) + -1*3*sqrt(9))).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(27)\/sqrt(3))*-2 + (4*sqrt(88)\/sqrt(2) + sqrt(44))**2 - (sqrt(495)\/(sqrt(9)*-2 - sqrt(9)) + sqrt(55))\/(-2*sqrt(5)*4 - sqrt(5)).\nAnswer: -52*sqrt(11)\/27 + 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 10*o**3 - 2*o**2 + 2*o - 1. Let u be h(1). Is 18\/(u\/(-6) - -2) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/3653334 and -41\/1217778.\nAnswer: 3653334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 35 = 3*o, y + 15 = 9*o - 5*o. Suppose 0 = o*f + 4*n - 1101 - 87, -234 = -f - 2*n. What is the common denominator of 20\/25 + (-596)\/f and -93\/4?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 1\/6*o**3 + 0 - 11*o**2 + 1\/24*o**4 + 0*o. Suppose -27 + 7 = 4*b. Determine l(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8708532439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1465?\nAnswer: 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -3. Let j(l) = 2*l + 13. Let u(a) = -a - 6. Let f = 5 + -12. Let o(s) = f*u(s) + i*j(s). What is the derivative of o(h) wrt h?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 - 3*n + 2)*((0 - 1 - 1)*(-n + 0*n - n) + 4*n + 6*n - 4*n) in the form y + k*n**2 + h*n and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 not equal to 1103991\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/11, 14, 305?\nAnswer: 305","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -14.959. Let f = a - 6.059. Let q = f - -6. Put -0.3, 0.5, q in decreasing order.\nAnswer: 0.5, q, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 1, 0 = -4*k + y - 2*y + 5. Let w be 15\/5 - (1 - k). Suppose 0 = 2*p + w*p - 45. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 27. What is the units digit of q(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*(880\/(-28))\/(-20)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 4*o + 5. Suppose 4 = 2*s, 3*s - s = 3*j - 11. Let z be 1 + 3\/((-6)\/j). Which is the nearest to o? (a) -2 (b) 2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 + 35 - 40\/(-16)*2 and 89\/248.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m + 0*m - 3*m + 5*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/2 - 3037*p - 2973369\/2.\nAnswer: -(p + 537)*(p + 5537)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -11*j**3 + 3*j**2 + 8*j + 7. Let l be 27\/(-12) + 8\/32. List the prime factors of u(l).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530705 is divided by 146?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -23*a + 50. Let r be z(2). Sort 2, -66, r, -5 in ascending order.\nAnswer: -66, -5, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - h = 216. Let u = -40 + h. Calculate the remainder when 94 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 52*w + 1200 = 0. Let z(j) = -j**3 + 7*j**2 + 6*j + 14. Let k be z(8). Sort 4, w, k in descending order.\nAnswer: 4, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2257 + -4515\/2. Which is the nearest to d? (a) 1 (b) 5 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.1809915 to two dps.\nAnswer: -2.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12022 - -12?\nAnswer: 12100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**4)**2*c**(9\/5)*c*c**(-2\/45))**(2\/25) assuming c is positive.\nAnswer: c**(968\/1125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 33*r + 75, 47 = -4*u - r + 37 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 - -0.5. Let y = o + -1.6. Let c = 28 - 33. What is the nearest to -2 in 3\/2, y, c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/15*(-7*2)\/1*(-705)\/(-940)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 10 (b) 0 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 205135 divided by -7?\nAnswer: -29305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95584?\nAnswer: 2, 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 18*x - 24. What is p(19)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -973114, -1946226, -2919338?\nAnswer: -3892450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -0*d - 16. Let r be -6*(2\/d + 0). Suppose 5*q - 35 = 4*o, 1 = -125*o + 126*o + 2*q. Put 4, r, o in descending order.\nAnswer: 4, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 71*m**2 - 4*m**2 + 27*m**2 + 43*m**2 as y*m**2 + v + q*m and give y.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 9, o: 2}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -4*x - d, 4*d = 2*x - d - 7. Let s = 286925\/7 + -40757. Let p = s - 232. What is the nearest to p in -2, x, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**3\/3 - 5165804*c**2\/3 + 103315480*c\/3 - 516576400\/3 = 0.\nAnswer: 10, 2582882","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 90 = 5*t, -l - 4*t - 38 = -9*t. Do -14 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2*11\/374).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54203.51 weeks in minutes?\nAnswer: 546371380.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 18*s - 51 = 0. Suppose 35 = a - s*t, -10*t = 5*a - 8*t - 90. Calculate the highest common divisor of 16 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -1 + 3*c**2 - 4*c**2 - 80*c**3 + 2*c - 4*c. Let k be x(-1). Suppose 3*l + 2*l - k = 0. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20120111 (base 3) in base 11?\nAnswer: 3667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*f + 139*f - 67*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -11)\/((-4)\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*t*z**2 - 19*t*z - 44530*t + 5*z wrt z.\nAnswer: -8*t*z - 19*t + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 + 537*a + 1070.\nAnswer: (a + 2)*(a + 535)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6533913?\nAnswer: 3, 2177971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 12, -3*p + p + v = -1. Find z such that 7*z**2 + z**5 + 0*z**2 - z**4 - p*z**2 - 4*z**2 - z**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.21 + -0.09. Let g = -22 + 24. Which is the biggest value? (a) g (b) k (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -513? (a) 1\/3 (b) 0.1 (c) -111 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -31002111333 (base 4) to base 8\nAnswer: -15022577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230\/(-4)*(-18 - (-1152)\/80) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((1*sqrt(468) + 4 - sqrt(468)) + -4*1*sqrt(468)))**2.\nAnswer: -6912*sqrt(13) + 270144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 403216, 403213, 403210?\nAnswer: 403207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 231 + 3?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7 and -2372341627529.\nAnswer: -2372341627522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 580\/121521 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + l + 18, -3*x - 4*l = -2*x - 13. Suppose 0 = -2*f - x*w - 4 - 152, -f - 78 = -4*w. What is the units digit of 3\/(-9)*f\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 * 17\nAnswer: -18.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -21. Let p = -11 - u. Let y = -5.5 + p. Which is the third biggest value? (a) 4\/5 (b) -0.7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3108*b - 111. Let q be y(7). What is the highest common factor of 390 and q?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-11)\/(-11))\/(2\/10). Suppose 0*h + h - 7 = -p*r, 4*h + 14 = r. Suppose 92 + 146 = r*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 5. Find the second derivative of 0*o**2 + 2*o**2 - u*o + 3*o**2 wrt o.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8.872 - -0.072. Let h = b + 3.8. Let g = -4 + 5. What is the smallest value in g, h, 3\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, d: 1, x: 1, h: 2, g: 2, b: 1}. What is prob of sequence mxhg?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 295*h - 138*h - 1 - 157*h - 79*h**3.\nAnswer: -79*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1575 = 23*v - 609. Which is bigger: -607\/14 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3150 (base 12) to base 10.\nAnswer: -5388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (-1 - 39) - 22?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91741.\nAnswer: 13, 7057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*j - 136 = -18*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0)**(21\/2)*q**3*q*q*((q*(q\/(q\/(q\/(q**(-6)\/q))))\/q)\/q)\/q*q)\/((q**(-1))**8\/(q**(-6)\/q**(-5))) assuming q is positive.\nAnswer: q**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 4*u**2 - 10*u - 5. Let f(a) = 16*a**2 + 140*a - 207. Let m be f(-10). Give h(m).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 183221*p**2 - 169021*p.\nAnswer: 366442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3630115 litres in millilitres?\nAnswer: 363.0115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 496865*j + j**3 - 496865*j.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -33870690 divided by -3763410?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -9, -3\/5, 2, 5\/2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-552)\/322)\/((-2)\/(-14)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from estetbtestju. What is prob of sequence use?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -26655, -110940, -251413, -448074, -700923, -1009960?\n\"Answer: -28094*n**2 - 3*n + 1442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**7\/1260 - y**6\/180 - y**5\/60 + 17*y**4\/6 + 6*y**2. Let v(a) be the second derivative of x(a). Calculate v(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of 0*l**2 - 1\/3*l**3 + 13*l + 1. Let i(g) = -20*g. Calculate i(z(w)).\nAnswer: 40*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z**(-3)*z))*z*z*z)\/(z\/z**(-2\/9))*z**(-5\/3)\/z*z**7*(z\/(z**(-6\/5)\/z)*z\/z**(6\/7))\/(z**(-4\/3)*z**(-7)\/z) assuming z is positive.\nAnswer: z**(5288\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3\/7 - 47*s**2\/7 + s\/7 + 47\/7 = 0. Calculate s.\nAnswer: -47, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -24404?\nAnswer: 9\/24404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -u + 15, -3*l - 22 - 13 = -4*u. Let f(z) be the first derivative of 5\/2*z**2 - 5*z + 1 - 1\/3*z**3. Calculate f(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 6*c**2 - 3*c - 3. Let y(o) = -7*o**2 + 4*o + 4. Suppose -26*z - 155 = 14*z - 35. Give z*y(i) - 4*l(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 962171 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5324 times 0.5?\nAnswer: 2662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from blllllllbb.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 72b92 (base 15) in base 5?\nAnswer: 43114422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12405184 and 8.\nAnswer: 12405184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 take away 49075302?\nAnswer: -49075317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(1*sqrt(4)))\/(sqrt(176) + sqrt(176)*1 + sqrt(176)).\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22052, 21841, 21630, 21419?\nAnswer: 21208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3 + (6*sqrt(68)*5 + sqrt(68))\/(sqrt(20)\/sqrt(5)*4 + sqrt(4) - sqrt(4)))*5.\nAnswer: -5 + 155*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.5 + -0.015569197?\nAnswer: -34.515569197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1232 is divided by 303?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81409?\nAnswer: 81409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhip when four letters picked without replacement from {i: 11, h: 1, p: 5, t: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1211619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p = 14*p - 2*d - 350, 5*d = -4*p + 745. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -433 (base 5) in base 8?\nAnswer: -166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 12*k**2 + k + 9. Let f(a) = 2*a**2 + a + 1. Calculate -2*f(y) + x(y).\nAnswer: 8*y**2 - y + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**3\/6 + k**2\/2 - 24*k + 70\/3 = 0.\nAnswer: -14, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -7 - (19 - 23) - -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8124577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v - 3. Let b be x(-2). Suppose b*n + 26 = 5*r - 11, 5*r = -n + 21. Suppose -5*s - 5*t = -50, -r*s + 2*t + 50 = t. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 4*n**2 + 71*n + 388. What is l(-6)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*b = 4*t - 21, t + 5*b = 4. Let q(f) = -f**3 + 9*f**2 - f + 12. Let m be q(t). Let a(n) = -n + n + 3*n**m + n. Calculate a(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*x + 572 = -x + 132 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/7 (b) -10 (c) 0.45 (d) 0.15 (e) 2 (f) -11\/3 (g) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - w - c + 6 = 0, 10 = 5*w + 5*c for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21119 is divided by 297.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.7, 2\/15, 2\/11, -0.4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 5*k - 16310 - 3000, -15455 = -4*f + 3*k. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y**3 - 2972559 - 2972559 + 5945118.\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(600)\/sqrt(6)).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xc when two letters picked without replacement from {x: 1, c: 3, e: 4}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 197541.999 to the nearest 10000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.9 - 12.6. Let j = 17.4 - 5. Let p = h + j. What is p rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*r - d, 4*d + 9 = 3*r - 0*r. Let q be 3\/(((-36)\/(-16))\/r). Solve -k - i = -0*k - 3, 3*k + q*i = 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 10, 4*l + 2*d = -l - 16. Let p be (1\/(-5))\/(l\/20). Solve 0*x + x = p for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -18, -63, -142, -255?\n\"Answer: -17*u**2 + 6*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11676 or -5826177\/499?\nAnswer: -11676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 26*k + 11. Let i(y) = -9*y + 69*y - 69*y - 4. Calculate -11*i(z) - 4*o(z).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -98*u**2 + 174*u?\nAnswer: -196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3 = 0, -4*a = -5*g + 31 - 4. Solve -5*d - 10 = -g*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*d + 9*d**4 + 2*d**3 - d**3 + 5*d**4 - 116*d**2 + 9*d**4 + 121*d**2 to the form w*d**2 + j + r*d + c*d**4 + x*d**3 and give c.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 99*q**2 - 111*q - 1257. Let p be u(-98). Solve -4*a = -n + p, -4*n = -2*a - 5*n - 7 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1 - 484\/(-40)) + -4 and -4\/75.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(-2)*y)**(8\/3))**38)**(-49) assuming y is positive.\nAnswer: y**(-59584\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -25.912. Let n = x - -0.032. Let z = n - -0.929. Round z to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iluflufq. What is prob of picking 1 l and 1 i?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 6*l**2 - 8*l - 5 + l**3 + 2 + 5. Let v = -7 + 0. What is the units digit of g(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j - 74*j = -43*j + 705 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1414, 0.02, 5 in increasing order.\nAnswer: 0.02, 5, 1414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122114, -122526, -123622, -125738, -129210, -134374, -141566, -151122?\nAnswer: -163378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 (base 9) in base 15?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -2151\nAnswer: 4\/2151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of 0 + 3*h**2 + 0*h**3 + 24*h - 1\/12*h**4. Determine b(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*h = 0. Sort -3, -6, h in descending order.\nAnswer: h, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and -562013.\nAnswer: -562017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1445517.3 to the nearest ten thousand.\nAnswer: 1450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62712 divided by -18.\nAnswer: 3484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7890975 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -50514 (base 6) to base 11\nAnswer: -5014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v + 2. Let h be k(-3). Let s(x) = 3*x - 4. Let o(g) = g - 1. Let n(l) = -5*o(l) + s(l). List the prime factors of n(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 137*b*o**2 + 2*b*o - 4*b + 2*o**5 + 34*o wrt o?\nAnswer: 274*b + 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-15)\/(-2))\/(-5))\/((12540\/5192)\/(-95))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 562*p + 870*p + 4 - 1979*p + 0 + 556*p - 4.\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 + 32 = 2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9699495 and 159071718.\nAnswer: 795358590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 87292527 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 20. Suppose o = -g + 13 - 1. Is (14 - g)\/(2\/217) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40.74 + -40.8. What is the smallest value in x, 1\/9, 0, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 227676588.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6931817 milligrams in kilograms?\nAnswer: 0.0000006931817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 137, 229, 329, 443, 577, 737, 929?\n\"Answer: l**3 - 2*l**2 + 91*l + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000316718 to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102220 - -1211120001?\nAnswer: 1211222221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7a4 - -116a?\nAnswer: 9c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275012?\nAnswer: 2, 197, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-564)\/(-24) - 24)*6\/10.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 279*d - 3648. Calculate the remainder when i(14) is divided by 56.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6241 is divided by 6221?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4812 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 39*m + 145. Let k be f(-35). Sort k, 1, 12 in descending order.\nAnswer: 12, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1483*g = -2276*g + 8723 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xrr when three letters picked without replacement from xrrrrrxrxrrrrr?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 0*n**2 + 0*n**3 - 1\/14*n**5 - 1\/105*n**6 + 1\/7*n**4 - 18*n - 14. Let v(l) be the first derivative of k(l). Factor v(g).\nAnswer: -2*g**2*(g - 1)*(g + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31558895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -0.022?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 44932 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 412925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 334028.5ng in grams?\nAnswer: 0.0003340285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2420 and 115856?\nAnswer: 70092880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.32 + 0.26. Let d = -36.2 - -42.14. Let s = d - i. Which is the closest to -1? (a) -4 (b) 0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70.7 + 275.3. What is the biggest value in -4, p, -2\/13, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 1687797.\nAnswer: 1\/1687797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 102\/(-27) + (-2)\/9. Let j(l) = l + 6. Let p be j(y). What is the second derivative of -2*d + d**p - d**2 - 2*d**5 wrt d?\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 + 443?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiy when three letters picked without replacement from {y: 4, i: 15}.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11369045026 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/(119\/2) + 0. Which is bigger: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1791490256 by -447872564.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j*n**3 - 27*j*n - 4*j + 14*n**3 - 2*n**2 wrt n?\nAnswer: 6*j + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.16, 21, -106830 in increasing order.\nAnswer: -106830, -0.16, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -2. What is the first derivative of v + 5 - 16 + 3*j**3 wrt j?\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1677 less than -0.8?\nAnswer: 1676.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 448 divided by -56.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -9*s - 1. Let x(h) = -156*h - 12. Let g(a) = 28*l(a) - 2*x(a). Let v(r) = 60*r - 3. Calculate 3*g(z) - 4*v(z).\nAnswer: -60*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 229.5 - 230. Sort q, -0.3, 0.33, 5 in ascending order.\nAnswer: q, -0.3, 0.33, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2040.33971 + -2040. Round h to 2 dps.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**2 - 161*f + 161*f to the form j*f + c*f**2 + z and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, c: 4, g: 10, t: 2}. Give prob of picking 1 g, 1 y, and 2 t.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**7\/210 - o**6\/20 - o**5\/12 - 288*o**2. Factor t(z).\nAnswer: -z**2*(z + 1)*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*b + 8. Suppose -6*w + w + 347 = -3*z, -4*z + 214 = 3*w. Suppose 5*a - w - b = 0. What are the prime factors of a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/2)*u)\/u**(-3\/10)*u**(-4\/7)\/(((u\/u**(2\/13))\/u)\/u)*(u**6*u*u*u**(-2\/17)*u*u)**(14\/11) assuming u is positive.\nAnswer: u**(1272868\/85085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-4\/3)\/(v\/(v\/(v\/v**(-11))))*(v**(-3))**(-5\/14) assuming v is positive.\nAnswer: v**(-515\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**16\/x**6)\/(x**(-8)\/x**(1\/4)) assuming x is positive.\nAnswer: x**(73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w + 24. Let l be z(-8). What are the prime factors of ((-58)\/(-6))\/(2\/96 + l)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*i + 5*d + 133 = 0, -136 = 2*i + 4*d. Let h = i - -163. Suppose 4*b + 4*n - h = -n, 4*b + 4*n = 84. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367189799 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6120362 to the power of 1\/2, to the nearest integer?\nAnswer: 2474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, 0.5, 489?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five sixths of a day?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2023*o + 2020*o + 9*j = 3, -o - 3*j = 19 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 + 38*n**2 - 273*n - 1764.\nAnswer: -(n - 21)**2*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1426487487.\nAnswer: 3, 151, 229, 13751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6731 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) -3 (c) -304\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of o**8\/840 + o**6\/90 + 11*o**3\/3 - 3. Let l(i) be the third derivative of k(i). Find the third derivative of l(d) wrt d.\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 648802.3 milligrams?\nAnswer: 0.0006488023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -129.72373 rounded to the nearest integer?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 99 + ((-192)\/6)\/(-8). Suppose -18*k = 275 + m. Sort k, 1, 4 in ascending order.\nAnswer: k, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2\/9)\/w*w)\/(w*w**(-1\/6))*(w*w\/w**(1\/10))**3 assuming w is positive.\nAnswer: w**(254\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/4 and 2\/(-40)*(3954\/216 + 1)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 830754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 3 (b) 1 (c) 2 (d) 330\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m + 58 - 6*m**2 - 42*m**3 + 0*m - 57 + 43*m**3. Let l(y) = y**2 + 2*y + 3. Let b be l(-3). Determine v(b).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 96 = 2*u. Let l(i) = i**3 + 16*i**2 - 5*i + 14. What is the tens digit of l(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237505247?\nAnswer: 7, 83, 408787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l + 139. Let w(p) = 3*p - 419. What is -2*w(j) - 7*y(j)?\nAnswer: j - 135","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 15. Suppose -5*w + 2 = -18. Suppose -3*r = -0*r - w*b + 7, a = 5*r + b. Does -2\/5 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1392954 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5207 take away 2?\nAnswer: 5205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * 3075\nAnswer: -153.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 5:24 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*p**4 - 327*p**2 - p**4 + 326*p**2 - p as m + q*p**4 + l*p + d*p**2 + v*p**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46197)\/236*78\/702.\nAnswer: -87\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/25290 and -47\/174168.\nAnswer: 244706040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 283 + -60. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 5*d - 204. Let u = -97 - d. Solve 2*k + 18 = 4*i, -2*k + u*i = -k + 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -270661*v**5 - v**4 - v**3 + v**2 - 2966543 wrt v.\nAnswer: -16239660*v**2 - 24*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.66 - 2.31. Let b = -0.1 + 0.07. Let z = l + b. What is the nearest to -1 in z, -1\/2, 0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**2 + 2484 + 36*n - 2412 + 7*n**2 = 0. Calculate n.\nAnswer: -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3669184937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1098536 or 1098535?\nAnswer: 1098535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 30, 2, 3\/2, 9\/7?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000314075194 to six decimal places.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1626 - 1626 - 24*c + c + 2*c - 2*c + 0*c + 0*c + 2*c + (-2 - 1 + 1)*(2*c + 0 + 0).\nAnswer: -25*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*u + 11*u + 2 - u**2 - 2*u + (0*u - 4*u + u)*(-2*u - 2*u + 3*u) - u**2 - u + u as t + s*u + z*u**2 and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/5)*j*j**(-1) assuming j is positive.\nAnswer: j**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -19b6 - 1?\nAnswer: -19b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7.612161 millennia?\nAnswer: 76.12161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(15)\/(sqrt(3) - sqrt(108)) + -2*((sqrt(125)\/sqrt(5) + sqrt(25))\/sqrt(5))**2.\nAnswer: -40 - 4*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -113.1 + 112.1. Which is smaller: p or 41?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a century in months?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5291 and 65.\nAnswer: 26455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(2940)*2 - sqrt(2940)))\/((sqrt(84) + sqrt(84) + (sqrt(84)*-2 + sqrt(84) - sqrt(84) - sqrt(84))*4 + sqrt(84))\/sqrt(7)).\nAnswer: -28*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -13965.1+0.013662149\nAnswer: -13965.086337851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 23 + 24 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/1363824 and 29\/7687008?\nAnswer: 84557088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 1)\/((-308)\/28).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 31*f**2 - 11*f + 1. Let y(a) = -15*a**2 + 6*a. Let l(s) = 6*p(s) + 11*y(s). Differentiate l(g) with respect to g.\nAnswer: 42*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by 5833\nAnswer: 22\/5833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**6\/120 + x**5\/30 + x**4\/6 - x**3\/2 - 2*x**2 - 38. Determine n(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11011)\/(-1694))\/((-2)\/4)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/(-3))\/(15*18\/270) + -8. Solve -n + 4*c - 11 = o, 7*n - 7 = 3*n - c for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -256\/3 + 224\/3*b - 49\/3*b**2.\nAnswer: -(7*b - 16)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 22, -7, 2, -73, -5.\nAnswer: -73, -7, -5, -4, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -5*j**7\/42 + j**6\/2 + 4*j**5 + 5*j**4 + 10*j - 296. Let x(d) = 0. What is d?\nAnswer: -2, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -20, -2*n + 4*n = -p - 9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -24. Does 3 divide (2 - 3)*c - -13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 8 + 3 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*n - 534 = -30. Which is smaller: n or -122\/5?\nAnswer: -122\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -8*z**3 - 10*z**2 + 5*z + 70. Give i(-2).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 75*f + 7157. Calculate k(-79).\nAnswer: 1232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -2*m**3\/3 + 4*m**2 - 40*m - 12. Let u(c) = -20*c + 40. Determine -24*i(s) + 5*u(s).\nAnswer: -4*s + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/7 - 4020*h**2 + 98643906*h\/7 + 2383690032\/7.\nAnswer: 2*(h - 7047)**2*(h + 24)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*u - 255. Let z = 93 + u. Calculate the least common multiple of (-2)\/(-9) + (-426)\/(-27) and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 8*o + 17. Let y be g(7). Solve 3*i - 5*i + y = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + n**2 + n - 1. Suppose 0*b = b - 5*m - 25, -2*b = -5*m - 30. Suppose -6*r = -b*r - 9. Suppose r = i + 7. Give s(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 243*u + 441*u - 520*u + 167*u to the form d*u + r and give d.\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 5. Let p be -20 + 4\/(-36)*-153. What is the closest to 1 in 3\/5, p, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or 1881?\nAnswer: 1881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00193119 to four dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0, 5\/3, -10?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25533 is divided by 1231.\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 823580 by 10.\nAnswer: 82358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 2*l**2 - 2*l + 6. Determine u(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54 + 46. Let b(o) = 2*o**2 - 2. List the prime factors of b(g).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.39 (b) 0.4 (c) -0.1 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 483 = 18*p - 417. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 11:40 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*b**3 - 2 - 6*b**2 + 2.\nAnswer: -37*b**3 - 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-6)*(-4)\/((-12)\/(-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/4 + 28811*g**2\/2 + 345775*g\/4 - 100849.\nAnswer: -(g - 57628)*(g - 1)*(g + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-200)\/(-300) + ((-16)\/(-6))\/(-1). Calculate the smallest common multiple of (10\/(-10))\/(s\/32) + 0 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*g - 141*g**3 + 11*g + 4 - 19 + 12 to w*g**2 + i + o*g**3 + p*g and give o.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = -11*s + 5, 4*s = -5*v + 55. Suppose 6*j = v*j - 76. Suppose 3*a - 7*a + 16 = 0, 5*f - 5*a = 170. Calculate the highest common factor of f and j.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/15130 and -51\/13528.\nAnswer: 1149880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**3 - 15*p**2 - 10*p + 9. Let w be a(-11). Suppose -y - 3891 = -4*i, y = i + 3*y - w. Does 27 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422 is divided by 86?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -141*t**2 - 38*t**2 - 55*t**2 + (5*t - 2*t - 4*t)*(t + 0*t + 0*t).\nAnswer: -235*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, y: 1, i: 2, n: 1, b: 3, j: 4}. Give prob of sequence jjj.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 33.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17408 - 17408.4. Let c be 1\/(-6)*4 + 0. What is the nearest to c in u, -1, -11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 9 = 0, 5*f + 36 = -5*d + 31 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 109 + 437 = 51*p. Solve 0 = -4*q - 12, b - p + 16 = -3*q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 42 - 31 = d, -5*d - 5 = -5*t. Sort -2, 0, d, 4.\nAnswer: d, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(100\/(-45) - -2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7708571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h*h*h**(-25)*h)*h)\/h**4 assuming h is positive.\nAnswer: h**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1074445070 to the nearest integer?\nAnswer: 32779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336*w + 261*w + 8 - 1132*w + 265*w + 261*w.\nAnswer: -9*w + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 6 - 2 - 2 - 589*t to c + i*t and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 228, -5 in descending order.\nAnswer: 228, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*-4*(-1 + sqrt(1100))**2 + (3 + (sqrt(1100) - sqrt(1100)*-1) + sqrt(1100) - (2*sqrt(1100) + -5)))*-3.\nAnswer: -79224 + 1500*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 2 = 10. Let z be ((-32)\/(-24))\/(u\/(-3)). What is the first derivative of 3*f**4 - z - 11*f**4 + 11 wrt f?\nAnswer: -32*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -11. Let x(c) be the first derivative of 1\/3*c**3 + c + 2 + 0*c**r. Differentiate x(j) with respect to j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 382.0336133 to the nearest 10.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -463 = -3*j + 320. Let a(p) = -p - 2. Let h be a(-2). Suppose h*b + j = 3*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -4*a**3 + 9\/2*a**2 + 2 + 0*a. Find g such that l(g) = 0.\nAnswer: 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 916765878 to the power of 1\/2, to the nearest integer?\nAnswer: 30278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86005, -164150, -242295, -320440, -398585, -476730?\nAnswer: -554875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 1563 = -s, 10*v + 2*s = 7*v - 2342. Let t = 789 + v. Let a(j) = j**3 + 2*j**2 - 3*j + 3. Let q be a(-3). Sort q, t, -3, 2 in decreasing order.\nAnswer: t, q, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*c = 11. Suppose 3*y - 3*w = 24, -w - 1 - 1 = 0. Calculate the remainder when c is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10113 by 3.\nAnswer: 3371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002778033 rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.78234 centimeters to millimeters.\nAnswer: 997.8234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/(-6) + 14\/(-84). Suppose 0 = 2*v - 17 - p. Let c(b) = b**2 + 3*b + 6. Let r be c(-5). Solve -5*k + r = -v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*u - 34 - 41. Let l = 35 - 10. Suppose -l = 3*c - 8*c. Sort u, c, 1 in ascending order.\nAnswer: u, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 578*n - 580*n - 3 + n**3 + 4. Let z = 5 - 7. Determine w(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1169 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -1822)*(3 + 100\/(-30)). Let h = n - -639. Solve -h - 23 = 11*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 7:05 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2013 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 19 - ((-549)\/(-30) + (-93)\/310) - 89\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1963, 3927, 5889, 7849?\n\"Answer: -o**2 + 1967*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97950*m**5 - 43832665*m**4 + 21811775*m**3 + 43823725*m**2 - 21909725*m + 8940 = 0. Calculate m.\nAnswer: -1, 4\/9795, 1\/2, 1, 447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 317 + -309. Suppose 3*k + 0*k = 18. What is the smallest common multiple of w and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-2) + 12\/(-24). Let z be -8 + ((-20)\/(-16) - h\/(-8)). Let v(w) = -3*w - 8 - 5*w**2 + w**2 + 3*w**2 - 4*w. Give v(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10338?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 3:28 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1573) + sqrt(1573) + sqrt(1573) + 1 + sqrt(1573) + 4 + -5)**2.\nAnswer: -75504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 12\/84*-7\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26363.5743275 less than 161?\nAnswer: -26202.5743275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/(-50) - (-24)\/(-35). Suppose 3*m = 5*v - 6*v + 13, 5*v - 9 = -m. Which is the second smallest value? (a) m (b) y (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - n**2 - n + 1. Let t(c) = 28*c**2 - 54*c - 29. Let p(b) = d(b) - t(b). Let h be p(27). Solve -h*j - 25 = 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z - z**3 - 5*z + 2*z + 3 - 6*z**2. Let a be r(-5). Let q(i) = i - 4. Let u be q(4). Solve 4*b - a*w - 4 = 0, -3*w = -u*w for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -95 + 100. Suppose -2*q + 24 = -z, -5*q + 2*z + 0*z + 58 = 0. Determine w so that 129 + 109*w**2 - 49*w**2 + q*w**3 + 31 - 200*w - p*w**4 = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 142906 to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, 6, 0.296, -5?\nAnswer: 0.296","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dla when three letters picked without replacement from {a: 1, d: 8, l: 1, h: 8}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w = -x, -2*x - 5*w + 21 = 0. Suppose 0 = x*q - 0*l - 2*l - 15, 0 = l + 3. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 134*l + 724. What is the hundreds digit of s(48)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.5 less than 0.032?\nAnswer: 14.532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 7*s = 140. Let v = s + -136. Let y = -10 - v. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.23 and 2.52?\nAnswer: 3.0996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 374 divide 312856610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 8:09 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -75 + 77. Suppose -h + 5*u - 17 = -4*h, s*h = 5*u + 3. Suppose 2*z - 2*b + h*b = 250, -3*z = -5*b - 391. Round z to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 357*d - 6422. Let a be q(19). Factor 3\/8*i**3 - 9\/4 - 21\/8*i + a*i**2.\nAnswer: 3*(i - 3)*(i + 1)*(i + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-1\/6)*q))**(-2\/3)\/(q*q**6)**(-1\/53) assuming q is positive.\nAnswer: q**(10\/477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/17467 - -52321\/698680. Let z(p) be the second derivative of 7\/24*p**3 + 1\/24*p**4 - 1\/168*p**7 - 1\/24*p**6 - b*p**5 - p + 0 + 3\/8*p**2. Factor z(r).\nAnswer: -(r - 1)*(r + 1)**3*(r + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 + 9 + -45 - 27?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239*s + 244*s = 2*m - 815, 5*m - 2132 = -s. Calculate the remainder when m is divided by 69.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 203*g - 204*g + 1183. Let c = g + -576. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/5)\/((-65)\/((-152750)\/20))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d**4 - 2*d**4 + 7*d**4)*(-d + 0*d - 1 + 5)*(4 - 6 + 3).\nAnswer: d**5 - 4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*r + 25*r + 231*r - 2.\nAnswer: 239*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 5 - (0 + 3) - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 17*l**2 + 2*l + 38. Let b be p(-17). Calculate the highest common divisor of 20 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.131 and -306.2.\nAnswer: -40.1122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5169838000?\nAnswer: 2, 5, 281, 9199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 181 = -3*i, 0 = -9*i + 4*i - 25. Suppose 3*k + 5*g = 12 - 44, -5*k = -3*g + 8. Let u = k + 11. Calculate the highest common divisor of q and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 601?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 200308939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2921345 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 24 - 26 - (8 - 2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1421 - -5?\nAnswer: -1417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of x**6\/120 - 11*x**5\/30 - 5*x**4\/6 + 6*x**3 + 2*x**2 - 23. Is s(24) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/429 and 2 - ((-106658)\/50439*-1 + (-6)\/(-69))?\nAnswer: 18447","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26.047 + -0.047. Let w = 620 + -619. Which is smaller: u or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 1 = 4*j. Suppose 9*y = 13*y - 72. Let s = y - j. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q, 0 = 3*n + 3*q - 3 - 12. Let t be n\/(2 - 3)*(-42)\/105. Factor 0*m**t + 3\/4 - 9\/8*m + 3\/8*m**3.\nAnswer: 3*(m - 1)**2*(m + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 1. Let j = d - 2. Which is greater: 3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84875 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.9 - 1.1. Let k = f - -7. Let m = -1.11 - 0.89. What is the closest to m in 3, k, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 9. Let r be 80\/q + (-3)\/(-9). Suppose r = 3*b + 3. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven thirds of a week?\nAnswer: 23520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 124, 4, -4, -641, 43, -3 in descending order.\nAnswer: 124, 43, 4, -3, -4, -641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -186\/4806007 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*t + 6 = 0. Let q(a) = a + 1. Let y(v) = -5*v**2 + 6*v + 6. Let k(c) = t*q(c) - y(c). Let n(s) = -2*s**2. What is k(n(x))?\nAnswer: 20*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -764 (base 12) to base 11\nAnswer: -8a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91)*2*-5 - sqrt(91))*4)\/(sqrt(700)*-2*-6).\nAnswer: -11*sqrt(13)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -30052.80214 and -0.693563.\nAnswer: -30053.495703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1652 - 1652.01519. Round z to three decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-176)\/64 + 6)*1*-4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149955 is divided by 13466.\nAnswer: 1829","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 2:54 AM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (776\/(-264) + (2 - 136\/66)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i + i - 2*i)*(655 - 1334 - 184) in the form p*i + y and give p.\nAnswer: 863","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 1014, 5, -1.\nAnswer: -28, -1, 5, 1014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -74 + (84 + -22 - 4)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 3*i + 27 = 0, -4*b + 5*i = -109 + 151 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 3*r + 50 = 0. Calculate the remainder when 40 is divided by (-7 - -9) + (2 + r)*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x - 366. Calculate y(74).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/16560744 and 37\/4140186.\nAnswer: 16560744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 337 = -129. Let z(k) = -k**3 + 24*k**2 + 52*k + 12. Let b be z(y). Is 130\/11 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d - d + d**5 + (41*d**5 + 32*d**5 + 6*d**5)*(2 + 1 - 1) + (4*d**2 + 2*d**4 - 4*d**2)*(-3 + 3 - 2*d + (0 + 4 - 3)*(0*d + 0*d - 2*d)).\nAnswer: 151*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -25*p**4\/12 - 27*p. Let x(h) = -h**2. Calculate x(o(d)).\nAnswer: -625*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/9)*d*d*d*d\/(d**(3\/7)*d)*(d**(1\/4))**30*d**(-2)*d*d*d\/d**(-5)*(d**(-1\/2))**(-2\/109) assuming d is positive.\nAnswer: d**(222377\/13734)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -40951, -50659, -60367, -70075, -79783?\n\"Answer: -9708*v - 31243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 4, 40111, -4, -2, -3 in descending order.\nAnswer: 40111, 8, 4, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-2) + 4 + -9. Let w be 0 + (b + 0 - -3). Let d be (w - 0)\/(-3 + 4). Is d at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-23 - -2)\/(3*(-2)\/4). Are 0 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*h + 8302425 = 74*h - 142*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 0.06, 15, 0.08, 14?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-nine halves of a microsecond?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -174*h*x**3 + 4*h*x**2 - 3*h*x + 6*h - 5977*x**4 + 230*x**2 wrt x.\nAnswer: -1044*h - 143448*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t**3 + 3*t**2 - 4*t - 22. Let m be 1*(2\/5 + (-306)\/90). Does 14 divide v(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -2*h - 3\/5*h**5 + 0*h**4 - 2 + 0*h**2 + 0*h**3. Differentiate a(w) with respect to w.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 i when three letters picked without replacement from {z: 2, i: 4, f: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -5395012.864 to the nearest 100000.\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 7:14 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**2\/9 - 53636*u\/9 + 17878\/3 = 0.\nAnswer: 1, 26817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 533*b**2 - b**4 - 2*b**3 - 14*b + 2*b**4 - 9*b - 537*b**2 - 38*b as a*b**3 + m*b + u + w*b**2 + g*b**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 553*0.11\nAnswer: 60.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**2 + 1. Let m(n) = 0 + 0 + 0 + 2*n. Calculate m(w(g)).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -14a?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(-3)\/(-168))\/((-5)\/(-5))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, t: 5}. What is prob of sequence tt?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -66.876 + 67. What is b rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, c: 2, r: 1}. Give prob of sequence rbcb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(128) + 4)*-1)**2.\nAnswer: 128*sqrt(2) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/(-57))\/((-15)\/1800).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/24618 and 14\/16785?\nAnswer: 369270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -29. Suppose 2*d = -4*y, -2*d = -d - k*y - 12. Sort -24, -4, d, 2 in decreasing order.\nAnswer: d, 2, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -8. Let t be (3\/1)\/((-1)\/(-1) + 2). Which is the closest to t? (a) -3 (b) h (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31.2 - 34. Let f = -0.8 - m. Let k = -7 + f. Which is the closest to 0? (a) 1\/5 (b) k (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.52 - 0.5. Let g = w - 0.22. Which is the third smallest value? (a) g (b) 1\/8 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1135 >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4356, -8768, -13222, -17718, -22256?\nAnswer: -26836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8183, -32824, -73893, -131390, -205315, -295668, -402449?\nAnswer: -525658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vcpciuo. What is prob of picking 1 v and 1 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 80*v**2. Let t(g) = -23*g + 40453 + 40455 - 80908. What is t(m(a))?\nAnswer: -1840*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108, -34, 36, 102, 164, 222?\nAnswer: 276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10210.22868 + -10210. What is v rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81e (base 15) to base 7\nAnswer: -5222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2219399965 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppuu when four letters picked without replacement from {u: 5, c: 3, p: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 + 24184*c - 48384.\nAnswer: 4*(c - 2)*(c + 6048)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18970 by -40.\nAnswer: -1897\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5c45c - 1?\nAnswer: -5c45d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + u**2 - u - 1. Let d(i) = i**4 + i**3 + 6*i**2 - 4*i - 4. Let n(k) = -d(k) + 4*t(k). Factor n(m).\nAnswer: -m**2*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 406501 to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -27\/2, 0.65, -0.03, 0.4?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qet when three letters picked without replacement from {o: 1, q: 1, t: 5, e: 3}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1547)\/(-52) + (-2)\/(-8) is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1087 = 49*d - 2781 - 3727. Is d at most 139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 15. Suppose -2*b = -3*b + o. Let g = b - 6. Is -3 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 1.6. Let v be ((-12)\/210)\/((-1)\/(-5)). Let b = 1450 + -5799\/4. What is the fourth smallest value in b, v, 0.3, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000768 rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**3 + 4*j**3 - j**3 + (1930 - 268*j**2 - 870 - 1061)*(4*j - 3*j - 7*j) in the form r*j**2 + f*j + a + n*j**3 and give n.\nAnswer: 1609","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 2*w**2 - 3*w + 1. Let v = 3 - 1. Let a be d(v). Let f be 1\/10*(4 + -2). What is the closest to 0 in a, -1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*x = 3*q - 123, -4*x - 12 = 0. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4821, 9641, 14461, 19281, 24101?\n\"Answer: 4820*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 17864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 3*v - 10, -4*o + 6*v + 10 = 4*v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 12. Suppose 3*k = 26 + u. Let b(m) = 4*m + 11. Let v be b(6). What is the greatest common divisor of v and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 237, 1082, 2463, 4380, 6833, 9822, 13347?\nAnswer: 17408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/68 at most 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*g + 93*g + 208*g - 35*g in the form k + p*g and give p.\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 854.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -n - 12, 14 = -0*n - 2*n - 4*k. Suppose 5*f + n*g + 15 + 15 = 0, -2*g - 1 = -3*f. What is the remainder when f + 26 + (0 - 4) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -2451*b + 2455*b + 2*g, -3*b = g - 13 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2*(-2)\/(-256)*43 and 45\/5 + 365\/(-24).\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -4759?\nAnswer: 1427.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.014 * 0.2446.\nAnswer: -0.0034244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 i when three letters picked without replacement from {s: 9, i: 9}?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2053.58 rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 33\/3*7\/(28\/20204) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 95\/204 - 9\/68. Let m(q) = -q**2 + 16*q + 34. Let i be m(18). Which is the fourth biggest value? (a) s (b) i (c) -2\/25 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33012320 - -134?\nAnswer: -33012131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3182 and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337*k - 247*k - 2790 = 0 for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -5*i + 5. Let b be (-402)\/(-9) - (-2 - 5\/(-3)). Let p = b + -46. Is p at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*4*(6*(sqrt(180)*-2)**2 + -4 + (sqrt(180) + 0)**2).\nAnswer: 17984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d = 169 - 1. Solve -6 = -2*c - v + 3*v, 0 = -5*c + 2*v + d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(14)\/((sqrt(80)\/sqrt(4))\/sqrt(10)).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -430 = -38*m + 64 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 divided by 2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-137*f + 254*f - 133*f)*(-5*f + 4*f + 2*f) in the form x*f**2 + u*f + g and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 5:47 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 59 = -1. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -16*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.11+-120.7\nAnswer: -120.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttzazttzttvzt. What is prob of picking 1 z and 2 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*p - 247, -5*i - 83 + 433 = 2*p. Let m(g) be the second derivative of g**3\/3 + 4*g**2 - 7*g. Calculate the remainder when i is divided by m(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*p = -h, 0 = p - 4. Let g be h + 8\/(1 - 5). Find k such that -k**3 + 12*k + 4*k**g + 4 + 9*k + 5 + 15*k**2 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 638521828 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4473513247 + -76026124200\/17. Let h = d - 1388675. Let j = 382 + h. Is 0 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 - 973 + 478 + 415 + 2*y + (-2 + 2 - y)*(y + 0*y + 3*y).\nAnswer: -5*y**2 + 2*y - 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 5*z + 3*b - 25, b - 10 = -2*z. Let h(j) = 2*j**2 - j. Let v be h(-1). Suppose -i = -5*n - 4*i + 6, 24 = z*n - v*i. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 119631 - 118751.91. Round p to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 1\/3, -3, -0.6, -2\/9 in descending order.\nAnswer: 1\/3, -2\/9, -0.6, -0.7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11, -777, -2133, -4073, -6591, -9681?\n\"Answer: o**3 - 301*o**2 + 130*o + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110100 + 1100011011?\nAnswer: 10001001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 7:40 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014185212 rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnu when three letters picked without replacement from {n: 3, u: 7}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 74?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.806 - 228202700?\nAnswer: -228202656.194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnmvmgegeeeegsg. Give prob of sequence vn.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 255164978 to the nearest integer?\nAnswer: 15974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170383577, -340767150, -511150723?\nAnswer: -681534296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-30)\/(-26) + -1 + (38 - (-16600)\/(-585)). Suppose 20\/9 - 104\/9*j + 80\/9*j**2 + q*j**3 + 16\/9*j**5 - 100\/9*j**4 = 0. What is j?\nAnswer: -1, 1\/4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l - 9*l - 8*l + 15*l.\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*b**3 - 1 + 11*b**3 + 4 - 1 + b**2 to k*b + u + a*b**2 + j*b**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and (24\/(-36))\/(1\/(-12)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 982336.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b - 23. Suppose -3*x - 4 = 17. Let s be l(x). Solve -2*j + s = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8744931 to the power of 1\/4, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-4)*(-18)\/(-15). Let i = 4 - u. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-40)\/25)\/(4\/(-10)). Let m(n) = -3*n + 2. Let p be m(-2). Suppose 0*u = 4*u - p. Solve b*o - 5*o = -u for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 26 = -964*r + 968*r, 7*j + 14*r = 6*j + 10 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 1773 = 1765. Let v(u) = u - 2 + 2. Let y(j) = -10*j + 2. Give f*y(l) - 12*v(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 0*o + 7*o)*(-o**4 + 3*o**4 - 3*o**4).\nAnswer: -8*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a micrometer in nanometers?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23858 and 1877232?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6679256 is divided by 2226406.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-4)*(-10)\/5. Let j be (0\/1)\/(-4) + f. Suppose 3*z - z + 2*x - 26 = 0, -j*z - 2*x + 38 = 0. What is the least common multiple of z and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -4. Suppose -6*v + 122 = -5*g, -37*v = -40*v - 4*g + 35. What is the remainder when v is divided by m*3\/((-3)\/(-10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2811 + (-15)\/(-25)*5?\nAnswer: 2, 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101 + -1011011101001?\nAnswer: -1011011010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {k: 4, w: 3, q: 5, c: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.28 + 39.28. Let y = c - 38.66. Let f = y - -0.06. What is the second smallest value in 4, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142.33 + -3?\nAnswer: 139.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 233063?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 443 + -424. Is 15 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59 + 30 - -24 - 7\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4319, -8679, -13065, -17471, -21891, -26319, -30749, -35175?\nAnswer: -39591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(2\/(-6)*-19*(-99)\/(1155\/35)).\nAnswer: -11\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(108))**2 + (sqrt(12) - sqrt(300)))*-4*-6.\nAnswer: -192*sqrt(3) + 23328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -8*g**2 + 3*g - 3. Let w(u) = u**2 - u + 1. Let f = -220 + 225. Suppose -2*s - 2*r - 6 = 2, -f*s - 4*r = 19. What is s*w(y) - k(y)?\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + -2)\/(10\/180). Let k = b - -60. Solve -3*m + k*m + 6 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 11:43 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100004440 (base 6) to base 5.\nAnswer: -412240043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -u**4\/4 - 4*u**3\/3 + 2*u**2 - 8*u + 2. Is b(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 691\/2492?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 104?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 1 + 1363 + -2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 104.2 - 104. What is the fourth smallest value in z, -11, 0.4, 2\/17?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10921 is divided by 1090?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3016 and 870.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*x - 0. Let z(p) = 28*p**2 - 2*p. Let a(n) = 29*n**2 - 2*n. Let f(i) = x*a(i) + 5*z(i). What is the second derivative of f(r) wrt r?\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38374.12 to the nearest 10.\nAnswer: -38370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) - (-2*sqrt(162) + -2)) + (sqrt(162) + -1)*2)**2.\nAnswer: 4050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1.5. Let m = 2.101 - 0.101. What is the smallest value in 4, x, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (32 - (-1)\/1). Suppose c = a - 19. Calculate the remainder when a is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -1\/5550, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 4 (b) 1 (c) -1 (d) 0.178 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 35 = -3*l - 27*s + 23*s, -5*l = -2*s - 41 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 14*c = 1329. Suppose -1689 = -5*h - c. What is the smallest common multiple of 24 and h?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 7:32 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 350 a factor of 162057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2 - -3 - 5) + 9)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 1. Let v(z) = 2*z**2 - z + 7. Determine 14*c(k) + 2*v(k).\nAnswer: -10*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000010452226 to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-468)\/15 + 6\/30. Let u = c - -38. Suppose -780 - 123 = -u*y. List the prime factors of y.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 5711 in descending order.\nAnswer: 5711, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5\/77, -5, 2\/13, 4\/3, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71708?\nAnswer: 2, 7, 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 628426.1 millilitres to litres.\nAnswer: 628.4261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/35438 and 59\/7911.\nAnswer: 280350018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l - 3. Let o be c(6). Suppose 3 = -o*w + 4*w. Suppose 0 = -2*p - b + 3, -10 = -2*p - 3*b - 1. Solve w*x + p*x = 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 - 19*x + 47. Determine n(10).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3264, 1, 44 in decreasing order.\nAnswer: 44, 1, -3264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-1)\/(-8 + -1)). Let d(z) = 50*z**2 - 6*z + 3 - 5 - 51*z**2. Let q be d(-5). Solve -i = -q*b + 6*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-144.6\nAnswer: 433.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 33 - 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -124?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-36)\/n)*n)\/n*n**(3\/16)*n assuming n is positive.\nAnswer: n**(627\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l**3 + 16*l**2 + 298*l + 296. Give j(-7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1236 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/32 and -89\/1512.\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -24*i + 61. Let u = 9150 + -9148. Give m(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/((-8)\/(-4132)) - (-1)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104 (base 8) to base 9.\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w - 9. Let q be i(-12). Solve 3*o - q*k = 4 - 1, -4*k = 4*o + 12 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35 - 155 - 40)*(-5 + 2 + 0)*(-5*j + 2*j - 2*j) in the form y + r*j and give r.\nAnswer: -3450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - 0.1. Let o = -1.93001 - 0.06999. Sort -1\/3, o, m in decreasing order.\nAnswer: m, -1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**4\/4 + c**2 + c. Let b(q) = 43799*q - 3*q**2 - 87509*q + 4*q**2 + 43710*q - 3*q**2. Determine b(z(w)).\nAnswer: -18*w**4 + 24*w**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*10\/(-2)*(-4)\/(-30). Suppose 4*k = -2*y + 12, -p*y + 0 - 8 = 0. Solve 0 = 4*n - 16, 2*g + 14 + 10 = k*n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2. Let h(j) = 41*j - 344. Let m(i) = -68*i + 688. Let f(r) = -5*h(r) - 3*m(r). Give f(z(o)).\nAnswer: -2*o**2 - 344","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*b - 73*b = 0. Solve 7*i + 7*i + 28 = b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 671 is divided by 652?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 39415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3*y - y**2 + 9*y - 4*y + (3*y + 4*y - 3*y)*(4 - 4 + y) + (-1 - 3 - 9)*(-9*y**2 + 1 - 1) in the form a*y + z*y**2 + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/8 of a gram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -16. Let r = i + 22. Calculate the highest common factor of 18 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*d**2*y**3 + 2*d**2 + 116*d*y + 47*y**4 - 1 wrt y.\nAnswer: -24*d**2*y + 564*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2907.4 + 3410. Let k = d - 44.6. Let h = -458.574 + k. Round h to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(209)*-2*5)\/sqrt(11) + sqrt(114)\/sqrt(54) + (sqrt(152)\/(sqrt(8) - -1*sqrt(8)) - sqrt(19)))**2.\nAnswer: 70519\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1725a (base 12) to base 15\nAnswer: 9c7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/115798 and -91\/12.\nAnswer: 694788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -13, -30, -57, -100, -165, -258?\n\"Answer: -z**3 + z**2 - 13*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196404 - 51683 = 1207*r + 1782*r for r.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5\/255613165998 - -13086073432292597\/62334849112936272. Let g = -1\/18064 + r. Calculate the common denominator of g and -133\/18.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3500 and 175931875.\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 (base 6) in base 2?\nAnswer: 1100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-4) - (-5924)\/288. Let n = 103\/9 - f. What is the common denominator of n and 5\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*r - 5*m, 13*r - 8*r = 5*m + 10. Which is the second biggest value? (a) -13 (b) -3\/4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2090\/(-6840)*42\/(-22)?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259*u**3 - 1307*u**3 + 268*u**3 + 265*u**3 + 259*u**3 + 254*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66 - -70. Suppose -o - 2 = h. What is the units digit of 7338\/66 + o\/33?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*v - 2. Let b(j) be the second derivative of j**3\/6 + 17*j**2\/2 - 3*j. Let t be b(-12). What is the greatest common divisor of v and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -494 or -1206205\/2449?\nAnswer: -1206205\/2449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 452.2 + -457.2. Which is the biggest value? (a) -83\/5 (b) 0.3 (c) k (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6307362?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2. Let z(s) = -36*s**3 - 6*s**2 - 14. Let n be 1 + -1*1 + (54 - 60). Let j(i) = n*o(i) - z(i). Differentiate j(b) with respect to b.\nAnswer: 108*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(480)*-2 + sqrt(480))\/sqrt(6) + sqrt(25)\/(sqrt(20)\/sqrt(4)*-3).\nAnswer: -13*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-14) - ((-90)\/(-99) - (-5252)\/(-308)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-24)\/9 - -4)\/((-1)\/(-9)). What is the second derivative of -14*t**2 - i*t**2 + 26*t**2 + 12*t + 17*t**3 wrt t?\nAnswer: 102*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -210*p + 70*p - 420 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 6. Let l(r) be the first derivative of -r**6\/120 - r**5\/40 - r**4\/12 - 2*r**3\/3 + 1. Let b(h) be the third derivative of l(h). Give b(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4318 - 4318. Solve -n - 15 + 18 = c for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -124006?\nAnswer: -124006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 118*b - 9182. What is j(77)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 4:58 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + q**2 + 4. Let p(f) = 2*f**3 + f**2 + 3. What is -5*k(y) + 6*p(y)?\nAnswer: 7*y**3 + y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -16*v**2 - 3*v. Let x be z(3). Let a(r) = -7*r**3 - 2*r**2 + 1. Let b be a(-1). Calculate the common denominator of (x\/6)\/(b + 0) and 83\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -2 + (-69)\/(-46)*-8\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at least 13623958?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/7 + (-3570)\/(-147) - 2. What is the first derivative of -4 - r - 59*c**3 + 2 - 6 wrt c?\nAnswer: -177*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3485.5 + 567216456.\nAnswer: 567212970.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2a94 (base 13) to base 16\nAnswer: 183d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*n + 4*p - 11, 5*n - p + 3 = 0. Suppose -4*s + 0*x = x - 970, 3*s - 2*x - 733 = n. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -58, -112, -156, -184, -190?\n\"Answer: d**3 - d**2 - 58*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138334*j + 250 = -138384*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(6\/7)*(h\/(h**(-1\/12)*h*h)*h)\/h)\/((h*h**(3\/4))\/(h\/h**(-2\/3))) assuming h is positive.\nAnswer: h**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272735 is divided by 159.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n**2 + 12. Let o be y(-3). Suppose 40*v = o*v. Suppose -k + 48 + 71 = v. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2079 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8542 + 10307 = 468*x - 3147 for x.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00088649 rounded to five dps?\nAnswer: 0.00089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2388 + 100229\/42. Let s = -2\/21 - q. Put -0.1, s, -2 in descending order.\nAnswer: s, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 297287*s**2 + 311850?\nAnswer: 594574*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 10 = 5*f - 2*n, 3*f - 6 = -2*n for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -607 or 6?\nAnswer: -607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22*b**3*x - 19198*b**2 + 3*b + 353607*x - 10 wrt b.\nAnswer: -66*b**2*x - 38396*b + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/((-135)\/(-12)) + 390\/(-1092)*(-32)\/50.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 644331.\nAnswer: 3, 397, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6 + -1. Let o = -4.8 + 4.7. Which is smaller: d or o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223093?\nAnswer: 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (0 + -9 - (-3 - 2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v - 47 + 27 = 0, -9*v = 5*j - 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-138)\/(0 + 3) + -4. Let v = 53 + a. What is the third derivative of -25*t**3 - 27*t**2 - 19*t**v + 11*t**3 wrt t?\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.97 - -9.06. Sort 0, p, 4 in decreasing order.\nAnswer: 4, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -800\/7 + 114. Suppose 21*q = 22*q - 3. Which is the closest to -1? (a) -3 (b) t (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3 or 355\/6?\nAnswer: 355\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of k**2 - 546. Let s(h) = 173*h. What is v(s(b))?\nAnswer: 346*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 385 = -3*d, d + 4*d - 391 = -4*z. Let l = z + -46. Calculate the remainder when l is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*h)*(2 + 0 - 1) + 68*h + 71*h - 13 - 138*h.\nAnswer: 3*h - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 - h**2 + 3*h**2)*(h**2 - 3*h**2 + h**2) + (-6*h**3 + 8*h**3 - h**3)*(0*h + 2*h + h).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45963 = -240*i + 55563 for i.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11982847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -20557, -41367, -62167, -82957?\n\"Answer: 5*o**2 - 20825*o + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 a factor of 4409445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/34*(-4)\/(-12). Sort 0.4, m, -1, -2 in increasing order.\nAnswer: -2, -1, m, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18*(-12)\/(-288) - 1)*-2)\/((-44)\/16).\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 1:32 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -6*d + 9*d. Suppose -k + d*k = 16. Solve -5*r - 5*x = 0, 3*r + k*x - 2 = -2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + l = v - 39, 5*l - 1 = -v. Suppose 386*d - 379*d - 28 = 0. Calculate the least common multiple of d and (v\/(-5))\/((-4)\/(-20)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 8*p**2 + p + 11. Let y be w(-8). Suppose 13 = o + 3*q - 2*q, y*q = -2*o + 26. What is the highest common factor of 104 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, r: 3, c: 4, x: 1, q: 2, j: 2}. Give prob of picking 1 x, 1 o, and 1 c.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 10*p - 1. Give b(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**3 - 122*k**2 + 670*k - 550 = 0.\nAnswer: 1, 5, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 5*q**2 + 4*q - 9. Let f be r(4). Factor 5*o**3 + 23*o - 41*o - 10*o**2 + f*o.\nAnswer: 5*o*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5638068, -5638115, -5638162, -5638209, -5638256?\nAnswer: -5638303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**3 + 1990*s**2 - 61642*s + 9606. Calculate y(963).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 61 + 6*w - 1 - 34 - 5*w**2 + 2*w**3 - 33. Let f(q) = 6*q**3 - 14*q**2 + 17*q - 20. Determine -17*b(r) + 6*f(r).\nAnswer: 2*r**3 + r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a + 1 + 1 + 0)*(137 + 145 - 252) to p + n*a and give p.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-18)\/(-69))\/(11 - 10). Which is smaller: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 4) to base 11\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.45 + 0.45. Is m >= 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 2*l - l - 5*l + 6. Suppose 8 = -4*d, -3*o + 23 = -8*d + 7*d. List the prime factors of u(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 25. Give u(-6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/(-49) - 60\/14. Let v(r) = r**3 + 5*r**2 + 3*r - 2. Let w be v(s). Solve -3*g + 4 = -w*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43 - -87\/2. What is the nearest to -0.1 in a, -2\/3, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 59088215\nAnswer: -295441075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*o**2 + 911*o**3 + 945*o**3 + 927*o**3 - 2782*o**3.\nAnswer: o**3 - 20*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10\/71 (b) 326 (c) 2\/9 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28516758 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 2*x**2 + 8*x + 4. Let b be m(4). Let t be b - 30\/((-20)\/(-4)). Sort t, 31, 4, -1\/4 in decreasing order.\nAnswer: 31, 4, -1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*a = -99, 4*o - 106 - 122 = -4*a. Let f(c) = 61*c**2 + o*c**2 - 181*c**2 + 40*c**2. Let g(k) = k. Determine g(f(p)).\nAnswer: -26*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 11*l - 14. Let v be (4 + -1)*22\/6. Let w be u(v). Let h = -10 - w. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 5*i. Suppose i = s - 7 + 6. Suppose f = -s + 4. Solve 5*k + 2*r = 21, 0 = -4*k + r + 4*r - f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*p + 7*p + 45. Let x be p\/20*2056\/3. Suppose -4*k + 174 = -x. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (-2 - -14)) + 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkc when three letters picked without replacement from kckzk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27970619?\nAnswer: 313, 89363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2362*r**2 - 5*r + 5. Let y(c) = -299980*c**2 + 636*c - 636. Determine 636*f(g) + 5*y(g).\nAnswer: 2332*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 31421216 to the power of 1\/3, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 5*m**2 + 8*m - 10. Let n be i(7). Let f = 1925 - 1871. Calculate the greatest common factor of f and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (0\/(-6) - 1) - 96\/(-12). Let t be 27 + -1 + 3 + -1. Calculate the highest common divisor of g and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + 3. Let x(m) = 66*m + 266. Let g be x(-4). Suppose -g*a + y = 3*a. Sort -0.4, a, -2 in descending order.\nAnswer: a, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 17154*k**2 - k**3 + 17*k - 17198*k**2 - 101*k = 0.\nAnswer: -42, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (75\/(-5400))\/((-19)\/((-912)\/(-30)))*20\/38?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -979.998567 + 980. What is b rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*i - 2 + 2)*(-5 + 3 + 4)*(i - 2*i + 4*i) + 4*i - i**2 - 4*i.\nAnswer: -49*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29151.144 + -29423. Let k = r + 271. What is k rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 8*u**2 - 15*u - 129. Calculate m(11).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194*n - 47*n = 147. What is the third smallest value in 0.09, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + u = 2*u + 103, 0 = -5*j + u + 130. Let d = j - 25. Calculate the lowest common multiple of d and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + 0 + sqrt(128) + (-6*-5*sqrt(128))**2 + sqrt(128))*3.\nAnswer: 144*sqrt(2) + 1036836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(6)*-4*-2).\nAnswer: sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 36*v**2 + 211*v + 1701. What is y(42)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 5*o - 1. Let s be c(4). Let t(k) = k**3 - 7*k**2 - 8*k + 2. Let q be t(8). Suppose b**q + b**2 + 2*b - 1 - 2*b**s - 1 = 0. Calculate b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342*q = -923 - 787 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/40)\/(-6*2\/4)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -194.756 or 3?\nAnswer: -194.756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 85 - -1762. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -266 + 274. Let i(u) = -u**2 - 6*u + 1. Let s = -5 - -2. What is the lowest common multiple of h and i(s)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 483, 318, 245, 264, 375, 578?\nAnswer: 873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(5*t + 6 - 6)*(-t + 6*t - 3*t)*(5 - 8*t - 4*t + 8*t).\nAnswer: 40*t**3 - 50*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -76*h - 144. Let q be p(-4). What is the greatest common factor of q and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -14 (b) 1 (c) 6\/37 (d) -1 (e) 24\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -237.1 + 237. Which is the third smallest value? (a) -5 (b) s (c) -4 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -995 = -12*g - 1103 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 391152 to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.208 - -0.208. Sort l, 2\/27, 0 in decreasing order.\nAnswer: 2\/27, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/2)\/(-32)*-2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*l = -233867, 6 = -0*l + 2*l. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2250328 divided by -2\nAnswer: -1125164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -0.3, 1, -0.16?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*p - 4*p + 2*p)*(-2 + 4 - 1) - 4*p - 2*p + 3*p - 5*p - 10*p + 2*p)*(-p - p + 0*p + (4 - 2 + 0)*(0*p + 3*p + 0*p)) + 5*p - 5*p**2 - 2*p - p.\nAnswer: -61*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**3\/4 + 47*s**2\/4 + 145*s\/2 + 100 = 0.\nAnswer: -40, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 5:11 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.659 - 5.709. What is the closest to -3\/2 in b, -1\/7, 6\/5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t - 10*t + 480 = 20*t for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {h: 1, x: 1, m: 1, g: 5, t: 1}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*-2 - sqrt(77))*6*5)\/(((-1*sqrt(176) - sqrt(176)) + sqrt(176))*6).\nAnswer: 15*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 142*u - 429*u + 150*u + 154*u - 71 - u**2. Let x be i(9). Which is greater: x or -1\/106?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 53 - 73 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 28, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 4*j + 20 = -u, 0 = -4*j - 20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 355*o**2*r*s**2 + 681*o**2*r*s + o**2*s**2 + o**2 + 75*o*r*s + 3*o*r + 3582*o*s**2 + 2*s wrt s.\nAnswer: 710*o**2*r + 2*o**2 + 7164*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 27 = -5*k, 5*c - 64*k = -54*k - 5 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.9999978 - -5. Let q = 0 - c. What is q rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 5. Let z = w + -3. Let a = z + -0.996. Round a to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**2. Let o be p(-1). Let r = 12 - 7. Let t = o + r. Let h(b) = 3*b**2 + b - 1. Calculate h(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -333133002?\nAnswer: 333133010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -122883\/13 or -9453?\nAnswer: -122883\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 418 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 11 + 18 + -4 - 43?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + b - 312 = 5*d, -340 = 5*d + 5*b. Let h = d - -67. Suppose 30 = 7*n + h*n. Solve -n*x - 4*v = 16, 3*x - 4*v = -5*v - 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/89 or 5113\/496?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -8*t - 48 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-49)\/(-7) + -7)\/(-1). Suppose a = s - 4*k - 143, -2*s - 101 = 2*k - 387. Calculate the greatest common factor of 39 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35821 and 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i - 4*i + 6*i + (-8 + 11 + 8)*(10*i - 137*i + 55*i) + 2*i + i - 4*i.\nAnswer: -794*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 12. Suppose 0*s + 2*s = w. Solve 5*q - s = -2*b, b + 15 = 2*q + 7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -146*b - 2619. Calculate w(-18).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -18. Let u = 28 + -23. Sort 4, u, a in descending order.\nAnswer: u, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -569*m + 34*m = 2140 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8590\/9 or 954?\nAnswer: 954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -21*j + 23*j. What is the tens digit of 70\/4 - (-9)\/j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three tenths of a minute?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1016638663\/20 + 50842017. Let l = f - 10081. Find the common denominator of (-266)\/(-60) - (-2)\/5 and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-7) + 54\/7. Suppose -2*k + 32 = s. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 201 and -0.18?\nAnswer: -36.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4175464583?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2952650 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 6. Suppose -5*i = 15 - 0. What is the remainder when 34 is divided by r + i - -16 - 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2458 - 2*n + 0*n - 4*n + 12*n - 4*n to the form l*n + v and give v.\nAnswer: -2458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12*((-494)\/114 + 10\/2) and 1932?\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50464?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 2:22 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.2, 4, 3.\nAnswer: 3, 4, 5.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11307, 45237, 101785, 180951, 282735, 407137?\nAnswer: 554157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of w**5\/5 - 77*w**4\/3 - 56*w**3 + 936*w**2 - 6*w - 672. Let i(f) = 0. Calculate f.\nAnswer: -3, 2, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 946556235?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 13*u - 7. Let v be q(-12). Let s(o) be the second derivative of 1\/3*o**3 - o**2 + 1\/6*o**4 + 0 + 2*o + 1\/20*o**v. Give s(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*n - 14*n + 721 = 19*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (84\/4)\/(-3)*-1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, g: 2, r: 4, h: 2}. What is prob of picking 1 r and 1 g?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 594, 1191, 1788, 2385, 2982?\n\"Answer: 597*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(-3)))**(15\/8)\/(t**(-1\/4))**(2\/9) assuming t is positive.\nAnswer: t**(-401\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 159.803 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-651)\/(-620))\/((-49)\/(-28)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w - 5. Let h be p(5). Suppose -3*f = -5*k + h, 5*k + 4*f - 55 = -5. Solve -4*a - k + 0 = -2*d, 0 = 3*d - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4340\/29, -4, 3 in decreasing order.\nAnswer: 5, 3, -4, -4340\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, 47, -2 in ascending order.\nAnswer: -66, -2, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11067542.\nAnswer: 2, 127, 43573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -256 - -418. Let d = 244 - f. Let a = d + -85. What is the third biggest value in 0.4, 4, -1\/8, a?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002499013032 to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1197 and 4851?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1667422*v**3 + 833695*v**3 + 833707*v**3.\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 1 - 1) + 3. Let w = 5 + n. Let i(p) = p**2 - 5*p - 6. Is 10 a factor of i(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 120 = 4*h. Let o(q) = -3*q - 4. Let v be o(-3). Suppose v*l - 76 = h. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1509883 divided by -3?\nAnswer: -1509883\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s - 4. Let x(d) = d**3 - 7*d**2 - 5*d - 8. Let j(a) = -a**3 + 5*a**2 - a - 4. Let g be j(4). Let i be x(g). Suppose -m = 3*m - i. Calculate o(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 7. Let l(t) = 1. Let b(i) = -4*i - 14. Let y(x) = 3*x**3 - 8*x**2 + 13*x + 2. Let a be y(5). Suppose -194 + a = -4*o. Give d*b(p) + o*l(p).\nAnswer: 4*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1484, -2, 3, -6, 2 in ascending order.\nAnswer: -1484, -6, -5, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s + 185345 - 185345.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -297150.7 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 18*s**2 + 3\/2*s**4 - 9*s**3 - 12*s + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2077*g + 2061*g = 64. Sort g, 4, -245.\nAnswer: -245, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 4*n - 7. Let y be q(6). Suppose 0 = -a - 3, -2*a = -y*j + a + 344. What are the prime factors of j?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10350, -41159, -92496, -164361?\n\"Answer: -10264*w**2 - 17*w - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 532 + 4?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 3*l**2 - 4*l + 3. Let s be h(5). Let f be (1 + s\/(-6))*-2. Let p be (6\/f)\/(8\/12). Solve 2*i - 3*i + p = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/(-20) - (-35)\/4. Suppose u - 5 = 3*b. Which is smaller: -2\/7 or b?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 926?\nAnswer: 922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107 - 49 - 145*h - 58.\nAnswer: -145*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r. Suppose 3*b = -12, b - 142 = -2*n - 3*b. Let v(o) = -2*o**2 + n*o - 79*o. What is u(v(k))?\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tyty when four letters picked without replacement from {n: 7, y: 6, r: 6, t: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**3 + 3*f**2 + 3 - 5 + 1 - 2*f**2 as o*f + q*f**2 + b*f**3 + g and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - h - 5346 = -5*j, 5*h - 4021 = -3*j. Suppose -4*f + 1332 = -4*a, 4*f - 2*a = a + j. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, 3, 1\/5, -11\/15, -0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/8*(-4)\/78?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2966*q + 1481*q + 1484*q - 4.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, s: 2}. Give prob of picking 2 s.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1290616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 17 + 10. Let l = -7 + d. Suppose -o = -14 - 8. Calculate the smallest common multiple of o and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 + (-151695)\/(-27))*-3750. Round y to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6 = -2. Suppose 0 = -3*j + q - 9, 2*j = 7*j + a*q - 2. Sort 3, 5, j.\nAnswer: j, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -730511, -1461024, -2191537, -2922050, -3652563, -4383076?\nAnswer: -5113589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 3*i - 8*i, 2*r - 5*i = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 30741 = -4*u, -3*u + 2*u - a = -7692. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (30\/25 + -3)\/((-9)\/(-45)). Let q(d) = -2*d**2 - 10*d + 9. Give q(t).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 1230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9156 and 56424?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -5. Let b(q) = 7*q - 26. Let t be b(6). Calculate the highest common divisor of p and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*2*2)\/(sqrt(11) - (sqrt(11) + sqrt(121)\/(sqrt(44)\/sqrt(4)))).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2624, 2957, 3290, 3623?\nAnswer: 3956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u + 1. Let w(m) = m - 1. Give 4*h(g) - w(g).\nAnswer: 11*g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/3*3\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -11. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/((-3)\/(4 - 13)). Find the second derivative of -6*p**4 - 4*p**4 + 3*p**4 - h*p wrt p.\nAnswer: -84*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83 + 39 + 3*m**2 - 122.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*l**2*w**3 - 118*l**2 + 4*l*w**3 + l*w**2 - 33244*w**3 - 10269 wrt w.\nAnswer: -144*l**2 + 24*l - 199464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -77, -130, -193, -266, -349?\nAnswer: -442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*s - 6*s - 7, -f + 9 = 3*s. Suppose -4*k = 4*r - 36, -13 = 5*k - 2*k - 5*r. Is (s\/k)\/((-1)\/(-158)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4617748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.924465l?\nAnswer: 9924.465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*p + 66 = 0. Let o be (-6)\/(-33) - 402\/p. Let r = 29 + o. What is the remainder when r is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 278*r + 22560491 = 315*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62275 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, t: 8, v: 1, o: 2, u: 3, e: 1}. What is prob of sequence uott?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2692756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129153435.\nAnswer: 3, 5, 8610229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, n: 2}. Give prob of picking 1 u and 2 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (601 + -598 - (4 + -1)) + -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -15, -3646 = k + o + 3641 - 7320 for k.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*-2.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 336 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 53\/5 of a milligram?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*z - z - 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 85519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8283 divided by -2761?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/2)\/(1460\/(-695325)). Which is smaller: l or 1906?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8 + 3*o + 5*o + 10*o wrt o?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8, 4, -3, 578.\nAnswer: -8, -3, 2, 4, 578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2697, 2695, 2691, 2685, 2677, 2667?\nAnswer: 2655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (2 - (11 - 26))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 14*w**2 + 22*w - 34. What is u(-12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 65 - 25 = 3*o, j + 3*o - 8 = 0. Solve 4*a - 37*r + 33*r = j, -4*a - 2*r = 10 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*r + 0*r + 2074 = 0, -4*h - 2086 = 2*r. Let t = h - -1090. Does 15 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 124 + 11*o + 3*o**2 + o**3 - 133 + 5*o**2. Let f be s(-6). What is the second biggest value in 1, f, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 649*s + 40 = 657*s. Suppose 5*l = -s*f + 2130, 2*l - 479 - 345 = 5*f. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, h: 2, x: 1, a: 4, u: 3}. What is prob of picking 1 u, 1 n, and 1 a?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-9 + 7)*(-1)\/6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -336 (b) 16 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33 + -2676?\nAnswer: -2731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - -5.038.\nAnswer: 5.538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 10*d - m + 15, d + 5*m = -21. Suppose -d*x + 6 = -2*l, -5*l = -8*l + 15. List the prime factors of 1017\/6 + (2\/x)\/(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o + 17. Let q(g) = -g**2 - 11*g - 10. Calculate the remainder when d(-7) is divided by q(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-6*sqrt(18)*-2)\/(sqrt(6) + sqrt(24)*-1 + sqrt(6) + (sqrt(6) - (sqrt(72) - sqrt(72)*-2 - sqrt(72))\/sqrt(12))).\nAnswer: 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 80 - 56. Suppose -4*i - 3*j = -106, 30 = -3*i - j + 107. Let f = 191 + i. What is the highest common divisor of f and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.72, 5, -1\/4, -2\/9 in decreasing order.\nAnswer: 5, 0.72, -2\/9, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 17*s. Let y(u) = -5 + 2*u - 3 + 8. Give z(y(w)).\nAnswer: 34*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b - 366 + 358 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40500 is divided by 40492?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -715 - -718. What is the least common multiple of 648 and k?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*n + 5 - 29 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 - 93 = -35*w. Suppose w*r = -4*i + 5216, -r - 3*r + 5241 = -i. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 9 = 93. Let u be 4\/4*(-4)\/h. Which is the biggest value? (a) -0.1 (b) u (c) 0.3 (d) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -21. Solve 0*s = h*s + 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2708 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48745889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-112) + (-36)\/7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/34? (a) -3\/7 (b) 7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.07, -14\/11, -5, 3, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105586 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 97, -188, -1193, -3278, -6803, -12128, -19613?\n\"Answer: -60*o**3 + 135*o + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 9:20 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -h**7\/294 + 13*h**6\/210 + 3*h**5\/14 - 528*h + 2. Determine j, given that a(j) = 0.\nAnswer: -2, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2771 + 196 = -n + p, p = -5*n + 12893. What are the prime factors of n?\nAnswer: 2, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and -0.4159376.\nAnswer: 0.024956256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*r - 33 = 0, 5*t + 3*r + 35 = 8*r. Let z be 1*-2 + (0 - t). Put -2, z, -4 in decreasing order.\nAnswer: z, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -14. Suppose -h*c - 1432 = d, -5*c - 1468 + 45 = 4*d. Let o = c + 420. List the prime factors of o.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 5 = p, 5*p = -3*m + 3834 - 3833 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/7 (b) -0.4 (c) -8.2 (d) -5 (e) -2\/7 (f) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -29*h + 13. Determine r(3).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 0*x**2 + x**2 + (4*x - x - 2*x)*(0 + 2*x + 0))*(-2 + 2 - 4*x**2 + x**2 + 7*x**2 - 3*x**2 + (0*x - 4*x + 6*x)*(-x - 2*x + 2*x)).\nAnswer: -x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*b + 3264*b + 8091*b)*(0 + 0 - 2*b) - 2*b**2 - b + b + (-b + b - 2*b)*(b - 4*b + 5*b) as j + c*b + i*b**2 and give i.\nAnswer: -22740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence csss when four letters picked without replacement from {c: 2, w: 2, s: 10}?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(252) - (2 + sqrt(252) + 1))**2 + -5*(-1*sqrt(252))**2*-2 + 4 + 5.\nAnswer: 2484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 3 + 4. Let b = n - 5. What is the second derivative of 6*g**4 + b*g - 7*g**4 + g wrt g?\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 130.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29 + 7 - 30)*(-i + 2 - 2)*(0*i**2 + 0*i**2 + i**2) to l + t*i + u*i**3 + c*i**2 and give u.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of j**7\/70 - j**6\/25 - 3*j**5\/100 + j**4\/10 - 2*j. Solve n(w) = 0 for w.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + v - 7. Let q = 8 + -5. Let h be (0 + -2)*q*-1. Let p be g(h). What is the greatest common factor of 5 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m = -16*m + 68. Calculate the remainder when m is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5\/108906 + 81241\/37790382. Calculate the common denominator of 35\/6 and f.\nAnswer: 14574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-7\/6)*v))\/(v\/((v\/v**(-6))\/v)) assuming v is positive.\nAnswer: v**(37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 - -26. Let w = 74 + c. Suppose f + 36 = w. Sort 3, f, 2 in increasing order.\nAnswer: f, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -12. Suppose 0 = -0*s + a*s - 12. Suppose -3*h + 370 = -0*h + s*o, -3*o + 369 = 3*h. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 586, 1649, 3420, 5899, 9086, 12981?\nAnswer: 17584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 7613.27 to the nearest 100.\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 41.\nAnswer: 12.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-6\/11)*l*l\/l**(-2\/29))**49 assuming l is positive.\nAnswer: l**(39445\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14294, 14300, 14304, 14306?\nAnswer: 14306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*n + 14, -4*w - 20 = n - 3*n. Let s(f) = -n*f - 11*f + 8*f + 3. Calculate s(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, p: 2, v: 1, z: 3, y: 2}. Give prob of sequence vlz.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1261 is divided by 186?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58065 - 47505 = -230*y. What is the remainder when y is divided by 197?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 5*o - 21, -3*o = 4 + 8. Find the common denominator of 0 + (m - (-175)\/(-20)) and 8\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u**3 + 5*u**3 + 3*u**3 + 2*u**3 + 3*u**3 - 3*u**3 + 1 - 1 - 2*u**3 + (-3*u**3 + 2*u**3 + 5*u**3)*(0 - 3 + 5) - 4*u**2 + 4*u**2 + 3*u**3.\nAnswer: 14*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001703 rounded to seven dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -26 - 24*b - 1\/75*b**6 + 0*b**5 + 0*b**2 + 2\/15*b**3 + 1\/10*b**4. Let c(x) be the first derivative of n(x). Factor c(r).\nAnswer: -2*r*(r - 2)*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -w - 9. Suppose -w*i - 10 = -0. Let t be 0 + (-3 - i) - -7. Solve 5*r - t = -u, 0*r - 4 = -4*r for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -59 (b) 1.6 (c) 0.1 (d) 10 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1614914646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 4:23 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 111528 divided by -3?\nAnswer: -37176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-14640)\/(-120))\/(-122)*-1*86\/(-2)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18661.13 + -31458.\nAnswer: -12796.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18089 - 18044. What is the remainder when 328 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*y + 50 = -60 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22099176 and 9088.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102 (base 9) to base 10.\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2290*g + 65762 + 43161 - 34808 = -643*g for g.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -165686 - -165005.07. Let s = -678 - o. Let y = s + -3.1. Round y to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.357 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 814 + -345. Let w = -459 + a. Let k = 11 + -3. What is the smallest common multiple of k and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/24)\/((-4)\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 x when two letters picked without replacement from mpxmllmllmlxsmm.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = c - 2*q, 4*c = -q - 0*q + 4. Suppose c = 11*t - 30 + 8. Solve t*j + 2 = -4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -43. Let d(j) = j**3 + 28*j**2 - 2*j - 52. Let h be d(f). Let u(c) = 5*c + c**2 + 0*c + c**3 - 7*c**2 - 1. Determine u(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.78, 0.14, 1\/6, 340 in descending order.\nAnswer: 340, 1\/6, 0.14, -0.78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -43*x**2 - 6 + 4*x + 49*x**3 - 40*x**2 + 81*x**2. Is m(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 195 = -4*i. What is the remainder when i is divided by 3\/(-24)*(-8496)\/177?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302861449 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -38*i**3 + i**2 + 105*i + 76. Determine u(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of o**3\/3 + 278*o + 522. Let x(q) = -4*q**2. Calculate x(y(a)).\nAnswer: -4*a**4 - 2224*a**2 - 309136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*h - 69 = 571 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (15 + -10)*(-3 + 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5166153*s - 10055254?\nAnswer: 5166153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*m + 5*r + 1751, 0 = -2*m + 2*r + 1170. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*g - 96*g - 110 = 0. Solve 4*x - g = -3*q + 4, 2*q - 10 = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y**2 + 13*y + 5. Let g be m(-7). Let h = 66 - g. Let l = -1 + -2. Sort h, 1, l.\nAnswer: l, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 + 0.1. Suppose 3*v + 0 = 6. Suppose 4*i - 5*y + 16 = 0, 0 = -4*y + v*y. Which is the smallest value? (a) z (b) i (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 51*w - 53*w + 118, -5*f + 4*w - 116 = 0. Suppose 0 = 4*y - 7*y + 60. What is the least common multiple of y and (-19 - f) + (-3)\/(-1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -640*j. Let n(f) = -f. Give n(z(a)).\nAnswer: 640*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-760)\/3135)\/((-32)\/72))\/5?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h**2 + 7*h - 7. Let l be p(7). Suppose 3*n - 17*n = -l. What is the remainder when 130 is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + -2)\/((-2)\/1). Let h(z) = -2*z + f*z - 6 + 2*z**2 + 7 - 3*z**3 + 9*z**3. Determine h(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/6*10*6\/(-15)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*o + 37 + 34 = -79 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-10) - 7\/(-35). Let b be (-1 + 6)*(2 - 1). Suppose -4 = -3*f - 4*x - 0, -b*f + 2*x = 2. Is f equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/(-77)*(30\/(-9))\/(-5).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 12*m - 3. Let n be g(-11). Let d = n - -11. Which is smaller: -4 or d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 272155432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (13 - 10)) + 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 253690904?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vor when three letters picked without replacement from orrvvrvvjvovujoojs.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 109, 166, 249, 364?\nAnswer: 517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237*y - 65*y - 10*y**2 + 8*y**2.\nAnswer: -2*y**2 + 172*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 49867.951652 less than 3?\nAnswer: -49864.951652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61472 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(15\/2)*j\/((j*(j**(-2\/45)\/j)\/j)\/j))**(-1\/13) assuming j is positive.\nAnswer: j**(-73\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29818 not equal to 36174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 29310.72 milliseconds in nanoseconds?\nAnswer: 29310720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 282204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/53? (a) 5 (b) 19 (c) -1\/5 (d) 0.01 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 142*h**2 + 262*h - 841. Let g be b(-140). Calculate the greatest common factor of g and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -112, 0 in increasing order.\nAnswer: -112, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4745750\/11 or 431431?\nAnswer: 431431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 4*v + 38, 11*o - 7*o - 112 = -4*v. What is the highest common factor of o and 1175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6457.21698 rounded to 0 dps?\nAnswer: -6457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 656421 and 10370.\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313594059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*d - 26, 3*d - 2*a - 32 = 2*a. Suppose 0 = -d*m - 2*v + 574, 2*v - 20 = -2*v. List the prime factors of m.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 13) to base 11\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5004006, -5004008, -5004010, -5004012, -5004014?\n\"Answer: -2*x - 5004004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1602 - 900. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190883 is divided by 210.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/24 - 222\/(-72). Suppose -4 = 2*p - 4*p. Solve p*b = -i*r - 14, 5*r + 3*b + 19 = 4*b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1127 - 1153) + (0 + -7 - 1)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxvc when four letters picked without replacement from ucvvcusuvccvxdcvc.\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h + 24. Let v(f) be the third derivative of 1\/60*f**5 + 107*f**2 + 0*f**4 + 1 + 0*f**3 + 0*f. Calculate j(v(a)).\nAnswer: -a**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*g - 2*o, 3*o - 30 = -3*g - 21 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-458)\/(-1603))\/((-2)\/(-13146)) and 8.\nAnswer: 7512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242\/(-11)*1*1\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 18*n**2 + 16*n - 17. Let s be d(-17). Suppose s = -7*h - 0*h + 2891. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.736 + -2.264. Put 1\/140, 2\/3, j in descending order.\nAnswer: 2\/3, 1\/140, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -577.84489 + -0.15511. What is the biggest value in -1\/10, t, -0.2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiq when three letters picked without replacement from {i: 2, q: 1, b: 2, j: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-24)\/28)\/(-3))\/(107\/(-1498))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42952559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/7336 and 51\/224.\nAnswer: 29344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -11*w**2 + 5*w. Let l(j) = 16*j**2 - 7*j. Suppose -3*n = -20 - 1. Let b(f) = n*h(f) + 5*l(f). Let u(g) = 2*g. Give u(b(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 3*y + 12. Let f be r(-5). Suppose -f*p = 0, -4*v - 40 = -5*p - 172. List the prime factors of v + 0 + (-6)\/(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1205208.\nAnswer: 2, 3, 19, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z. Suppose u = -2 + 1. Let f be n(u). Is f at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/27)\/(g*(g**(-2\/7)*g*g)\/g)*(g*g*g**(-2\/5))**(16\/5) assuming g is positive.\nAnswer: g**(15742\/4725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ididiidiiiiiiidiiiii. Give prob of picking 3 i and 1 d.\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.26, -2, 89\/12 in decreasing order.\nAnswer: 89\/12, 0.26, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0638235092 rounded to six decimal places?\nAnswer: -0.063824","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 472045.8 litres?\nAnswer: 472045800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 259733813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 12:02 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - -2. Let z = -36 + d. What is the second derivative of -2*h - 13*h**5 + z*h - 11*h**5 + 5*h wrt h?\nAnswer: -480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 9*j**2 + 9*j + 12. Let f be m(10). Solve 8 = 3*p + f*p + 4*d, 4*p - 10 = -2*d for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*f + 462 = 124*f. Solve f*q - 12 = -33 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279305*f + 4 - 279174*f - 6.\nAnswer: 131*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3068232 + 0.401225. Let d = f - 0.0944. What is d rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3952 divided by 30962.\nAnswer: 1976\/15481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97933.\nAnswer: 11, 29, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56*x**4 - 213*x**2.\nAnswer: -1344*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifteenth of a millennium?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**6\/360 + z**5\/40 - z**4\/12 + 35*z**3\/3 - 30*z**2. Let m(r) be the first derivative of l(r). What is m(-3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2. Let w(y) = -191187*y. Determine w(s(u)).\nAnswer: -382374*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2. Let i(a) = -223*a + 103. Determine w(i(f)).\nAnswer: 49729*f**2 - 45938*f + 10609","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 8*n + 3*n + (n + 0*n + n)*(-3 + 4 - 3) - n - 4*n + 3*n + n + 2 - 2)*(7 + 19 - 10).\nAnswer: -144*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20*t + 10*t - 22*t)*(-2 - 1 + 4)*(-1 - 1 + 1) as n*t + k and give n.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3112 plus 5.75?\nAnswer: 3117.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1639, 3281, 4923, 6565, 8207?\n\"Answer: 1642*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -65 + 56577 + 2\/((-6)\/(-3)).\nAnswer: 31, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -12. Let i = -155 - -155. Solve i = -5*z - 0 - v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - -134 - 189) + (3 - -18).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -5*q**4\/12 - q**3 + 6*q. Find the second derivative of u(z) wrt z.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-23)\/x*x*x**(3\/13)*x assuming x is positive.\nAnswer: x**(-283\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*w**2 - 28*w**2 - 35*w**2.\nAnswer: -260*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-14 + -2 + (-41 - -29 - -60)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {l: 1, u: 2, c: 3, o: 6, e: 2}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of 3\/4*u**4 - 1\/20*u**5 + 0 + 0*u**2 + 8*u - 4\/3*u**3. Factor a(y).\nAnswer: -y*(y - 8)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/111263 and 101\/135963386?\nAnswer: 135963386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -5 + 5 + 44 + -29 + -70.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**2 + 4*s**2 + 4*s**2 - 2*s**2 + 0*s + 0*s + (0 + 0 - s)*(2*s + 2*s - 3*s) - 2*s**2 + s**2 + 2*s**2 + 2*s**2 + 2*s**2 - 2*s**2.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k + 6. Let n(y) = 2*y - 5. Let p = -838 + 842. Let u = 0 - -3. Determine p*n(s) + u*l(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.076 and -0.40577.\nAnswer: -0.43660852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-27))\/((-4)\/12)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 - -0.34414.\nAnswer: 0.40414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-3\/7)\/(u*(((u*u**(1\/10))\/u)\/u)\/u*u))\/(((u\/u**(-3\/5))\/u)\/(u*u*u**(2\/41)\/u)))**(-2\/53))**9 assuming u is positive.\nAnswer: u**(2061\/76055)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1777554, -1777444, -1777262, -1777008, -1776682, -1776284?\n\"Answer: 36*l**2 + 2*l - 1777592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h**3 - 2*h**2 - 2. Let i(b) = 6*b**3 + 4*b**2 + 4. Let c(j) = 2*i(j) + 5*v(j). Let t be c(-2). What is the highest common factor of t and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d + 1246 = 49. Let m = 110 + d. Which is greater: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/(-42) + -3 + 18\/12\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 704.9458 decades?\nAnswer: 70.49458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1973*g - 145750 = -19478 for g.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 454\/13*v + 2\/13*v**2.\nAnswer: 2*v*(v - 227)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*d - 25*d + 25. Is d + -1 + (-3 - -418) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r - 2*r - 965*r**2 + 2*r.\nAnswer: -965*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1531 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + -4*(0 + 5 + (sqrt(2448) - (sqrt(2448) + 1)))**2 + (-3 + (0 + sqrt(2448) + 0)**2 + sqrt(2448))*3.\nAnswer: 36*sqrt(17) + 7268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -197 + 192. Put -1, 8, s, 5 in decreasing order.\nAnswer: 8, 5, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((0 + sqrt(171)*-2*6 - ((sqrt(171)*-1 + sqrt(171))*-6 - (0 + -1 + sqrt(171) + sqrt(171))))*6)**2.\nAnswer: 2160*sqrt(19) + 615632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/2 + 14*h**2 - 136*h + 288.\nAnswer: (h - 4)**2*(h + 36)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3044.167 - 3044.32. Let y = 3.5 - 3. Put y, 4, l in increasing order.\nAnswer: l, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/14? (a) 10 (b) -2 (c) 0.5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 271 * 0.02\nAnswer: 5.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/20)\/(3\/6).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 48674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/15 + (-1113)\/63.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08801664 rounded to 4 dps?\nAnswer: -0.088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v**3 - 38*v**2 + 186*v + 50. Determine c(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2654, 5175, 7704, 10247, 12810?\n\"Answer: p**3 - 2*p**2 + 2520*p + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(-143*y**5 + 21*y**5 - 52*y**5).\nAnswer: 348*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 9 + 3*v**2 - 4 - 5. Let l(b) = b + 6 - 6 + 3*b. What is l(h(a))?\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 13, k: 3}. What is prob of picking 1 w and 2 k?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*m**3*y**2 - 558*m**2*y**3 - 22*m*y**3 - m*y**2 + 1092*m - y - 1 wrt m?\nAnswer: -156*m*y**2 - 1116*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*((z**(1\/6)\/z)\/z)\/z)\/(z*z*z\/(z\/z**(-5\/3))*z)*(z*z\/(z\/((z*z**(-3))\/z)))\/z**(-6) assuming z is positive.\nAnswer: z**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 - -81. Suppose 4*v - 22 + 6 = 0. Suppose -v*d = y - 103 + 32, -2*y - d = -m. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 9 = 2*l - 3*m, l - 6 = -m. Suppose -l*z + 3 = -0. Let u = 6 + -3. Which is the closest to z? (a) -4 (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.437041ns in milliseconds?\nAnswer: 0.000005437041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(24*t**2 + 5*t**2 + 3*t**2) + (3 + 0 - 1)*(2*t**2 - t**2 + 0*t**2 + (-t**2 - 2*t + 2*t)*(1 - 1 - 1) - t**2 + 2*t - 2*t).\nAnswer: 34*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 2*v**2 + 5*v + 3. Let l be x(-3). What is the closest to 0 in -4, l, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1617144 + 0.4?\nAnswer: -1617143.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.7, -0.26, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 5\/(675\/(-522))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22712458 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -25. Suppose -z*j = f + j - 197, -3*f - 3*j + 555 = 0. What is the remainder when f is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*f + 28165 - 28171 - 3*f + (-2*f + f + 2*f)*(-1 - 2 + 1) + 3*f - f - f - 1 + 1 - f + (2*f + 1 - 1)*(2 - 1 - 2) - 3*f + 1 - 1 + f - 4*f + f.\nAnswer: -40*f - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 34386, 68765, 103154, 137559, 171986, 206441, 240930?\n\"Answer: t**3 - t**2 + 34375*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.02 - 1.72. Let u = 0.4 + b. What is the nearest to -2 in -3, u, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/(-2024))\/(106\/(-4876)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17805 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.15 - 0.24. Suppose 11*p + 19*p = 44*p - 14. Let m(f) = -f + 8. Let v be m(9). Which is the nearest to v? (a) p (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 0*c + 15*c**2 + 0*c. Let g = -64 + 70. Let o(u) = -u - 1. Let h(z) = 2*z**2 - 6*z - 6. Let t(m) = g*o(m) - h(m). Calculate j(t(w)).\nAnswer: 60*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -129 + 134 - (45 + 0).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -413186, -413183, -413180, -413177?\n\"Answer: 3*b - 413189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 193*g**2 + 2*g + 1. Let x be y(-1). Suppose 3*i = 7*i - x. Suppose 2*z = -4*t + i, -5*z = -0*z + t - 129. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59 - 20 - 23 + v - 3966*v**2 - 16 to the form k*v + y + f*v**2 and give f.\nAnswer: -3966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 e when three letters picked without replacement from leeq?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z**3 - 9*z**3 - 36*z**3.\nAnswer: -57*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -77 + 67\/2*b**2 + 104*b. What is the derivative of j(i) wrt i?\nAnswer: 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a24 - -12?\nAnswer: -a12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2310 and 3630.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1296988909 to the nearest integer?\nAnswer: 36014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 962029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -38, -72, -126, -206, -318?\nAnswer: -468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 991944?\nAnswer: 2, 3, 23, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -1. Let j = q + 0.1. Let l = 1.2 + -1. What is the nearest to j in -4, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jii when three letters picked without replacement from jjjii.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*n - 5*y + 21, -5*n + 5*y - 15 = 0. Let o(u) = 5*u**2 + 8*u + 4. Let f(d) = d**2 + 2*d + 1. Give n*o(t) - 9*f(t).\nAnswer: t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -25, -1.2, 5, -11\/10?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (77\/(-22))\/((-1407)\/134).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 589419.7 rounded to the nearest 10000?\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -9*q + 25. Let x be m(-2). What is the second derivative of -18*l - 136*l**4 - x*l + 47*l**4 wrt l?\nAnswer: -1068*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 726743314 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5116, 5143, 5188, 5251, 5332, 5431, 5548?\n\"Answer: 9*x**2 + 5107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*sqrt(1216) + -5 + (sqrt(1216) + 1)*4 + 0)**2.\nAnswer: 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 - -0.42. Let z = 0.22 - s. Let t = 0.3 + -0.2. Which is the closest to t? (a) z (b) 5\/6 (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**3 - j**2 + 2*j + 4. Suppose -5*k = -3 + 18. Let a be x(k). What is the greatest common factor of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5466307218?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*s + 1472, -1466 = -2*a - 0*a + 2*s. Let u = 5857\/8 - a. Let q = -7617 + 106689\/14. What is the common denominator of u and q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 7 - 28 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6163359ms in nanoseconds?\nAnswer: 616335.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29053336 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45035, -0.02, -0.1, -3 in descending order.\nAnswer: 45035, -0.02, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227545.\nAnswer: 5, 17, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15 and -1759.\nAnswer: -1744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f - 12. Suppose 5*v + 4*w - 34 = 0, w = -2*v + 4 + 12. Let h be i(v). Suppose -2*a + h = -8. Solve -r + a = r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 3*x - 117, 5*m = -0*m - x + 119. Calculate the highest common factor of 384 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -134 - -95. Let l be -2 - -1 - -1 - k. Suppose -2*h + l - 13 = 0. Calculate the remainder when 24 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -10*c**2. Let o = 20 + -11. Let i(x) = o*x + 8*x - 16*x. Determine i(l(j)).\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-15)*3 + (-72)\/(-10). Suppose 5*d = m + 8. Suppose d*c + 5*q = c + 223, 2*q = -2. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z, -5*z = -6*k + 5*k - 1. Which is smaller: -0.04 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -432 (b) -4 (c) -5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 16 + 8. Let f = 4 - -1. Suppose -8*c - 2*c - 30 = 0. Sort j, f, c in descending order.\nAnswer: f, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/54 and 2\/45.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -537504 divided by -264?\nAnswer: 2036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -6649.0119?\nAnswer: 6648.6119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-25)\/(-3) + -2 + 740\/(-555). Solve 0 = 3*p - f*p - 2, -4*g = 3*p + 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -3, 14, -4\/9, 0.8, 5 in decreasing order.\nAnswer: 14, 5, 0.8, 3\/4, -4\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 140*t**3*v**3 + 36*t**3 - 476*t**2*v**2 - 68*t**2*v + 5*t*v**3 - 33*t + 3*v wrt v?\nAnswer: 840*t**3*v - 952*t**2 + 30*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1855857 to the nearest integer?\nAnswer: 1362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 820*g - 98. Let k be x(5). Suppose -k = -39*l + 33*l. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -11*n + 1. Let p(b) = 291*b - 3. Determine -18*g(z) - 2*p(z).\nAnswer: -384*z - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 15*o - 8. Suppose 3*s - 3*l = -9, -s + 3*l - 19 = 6*l. Let j(w) = 13*w - 7. Let y(m) = s*j(m) + 6*a(m). Determine y(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250688846 to the power of 1\/2, to the nearest integer?\nAnswer: 15833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*i + 6 = 0. Let u = 9 + i. Suppose -u*c + 20 = -2*c. Solve 2*f - 5 = -5*x, -c*x + f - 4*f = -5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/17, 12449, 4.\nAnswer: 3\/17, 4, 12449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.5 or 34.04?\nAnswer: 34.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -5 + 4 + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2451 = 40*j + 94*j + 307 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 345 - 2*r**2 - 345 - 5*r**3 - 3*r - 11*r to the form b*r + k*r**2 + x + j*r**3 and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 0)\/((-18)\/(-84)). Suppose -t - n = t + 659, 2*n = -2*t - 662. Is (v\/(-8))\/((-2)\/t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 4:35 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03379 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -458 = 2*a - 5*v - 476, 0 = 4*a + v + 8. Let o be 4\/6*3 - 1. Put a, o, 38 in increasing order.\nAnswer: a, o, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-4)*(-350)\/125. Solve 0 = o*z - 2*z + 4*h, -3*h = 3*z - 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13310\/44)\/55*48\/66.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1404497 and -5.30540206.\nAnswer: 1404491.69459794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 + 115?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 4, 324, -5.\nAnswer: -5, -2, -1, 4, 324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(((-2508)\/(-99))\/38).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -1\/2, -5, -0.3, -11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/6 + ((-56)\/(-4))\/(24 + -28). Let s = -1.1 + 0.1. Sort c, -2\/5, s in increasing order.\nAnswer: c, s, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 + 10 + -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4\/3773 - -1066\/11319. What is the biggest value in 0.1, q, 1, -1\/2, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7227048 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*s = -42*u + 43*u - 17*s + 1, -s = -5 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 15*b**3 - 10*b**2 - b + 6. Suppose -o - 3*z + 14 = 0, 2 = -5*o + 4*z - z. What is the units digit of i(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 - -1. Let f = 50 + -49.8. What is the nearest to f in -1, -3\/4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -451*u + 1301. What is o(-5)?\nAnswer: 3556","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-3) + (-23)\/(-3). Let x = s + -7. Let o(z) = x*z - 2*z + 5*z**2 + 2*z. Let q(m) = -m**2. Calculate o(q(i)).\nAnswer: 5*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 - -56a690?\nAnswer: 56a67a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 27*k + 294. Let w be n(-11). Suppose 0 = -2*g + g. Let b be (g - 0) + (-3)\/3. What is the nearest to b in 5, -0.4, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -0*a - 15. Let d(n) = 8*n + 4. List the prime factors of d(a).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/(-5) + (-484)\/(-110). Calculate the common denominator of -67\/57 and (-3 + x\/(-12))*(-80)\/(-72).\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 14*n + 4*y + 44 = 0, 21 = n + 4*y. Solve 16*z - 3*z = n for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**3 - 10*v + 55. Is b(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -61, 1\/5, 3\/8, 1\/2, 2\/9, 33\/8?\nAnswer: 33\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 981 = -3*t, -4*p + 963 = 3*t - 3*p. What is the greatest common divisor of t and 138?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 8. Let w be u\/(-4) + (-45)\/(-12). Suppose -w*x = 4*a - 1488, -5*x + 1775 = -a - 79. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 874?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -40? (a) 1\/3 (b) -3 (c) 2019\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 38. Let a be (2 + q\/10)*-4. Factor 6\/5*v**3 + 0*v - 4\/5*v**4 + 0 - a*v**2.\nAnswer: -2*v**2*(v - 1)*(2*v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -7*p + 5. Let h(l) = 20*l - 14. What is -2*h(a) - 7*v(a)?\nAnswer: 9*a - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5100.9 + 5101. Sort 0.5, 0.4, 47\/4, h.\nAnswer: h, 0.4, 0.5, 47\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 29457*u**3 - 60*u**2 + 20*u + 9995. Let q(h) = 4208*h**3 - 9*h**2 + 3*h + 1428. Let m(y) = 9*i(y) - 60*q(y). Find the first derivative of m(r) wrt r.\nAnswer: 37899*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1.3944 (b) -5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173526421.\nAnswer: 23, 7544627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2416 (base 10) to base 2\nAnswer: -100101110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - f - 2. Let k(o) = -4*o - 6. Let z be k(-2). What is j(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -4) + 8 + -9 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2 = -4*x. Suppose 0 = 4*h - 2*y - 3726, -336 = x*h - 5*y - 2219. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from {b: 3, y: 2, r: 10}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177100?\nAnswer: 2, 5, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -114?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**6\/15 - 2*o**4\/3 - 48*o**2 + 274*o. What is the first derivative of r(f) wrt f?\nAnswer: 8*f**3 - 16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 522 and 870?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -11*v**4\/12 - 65*v**2\/2 + 22*v. Let h(z) be the first derivative of w(z). Let g(o) = 5*o**2. Calculate g(h(n)).\nAnswer: 2420*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 31 (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 323761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5066, 2, 2\/967, -0.3?\nAnswer: 2\/967","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 81*u**4 + 6174*u**3 + 118333*u**2 + 26068*u + 1444 = 0.\nAnswer: -38, -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -6807081.\nAnswer: 1\/6807081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 i when two letters picked without replacement from {r: 1, x: 2, i: 5, p: 2, z: 1, m: 6}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.11 - 0.19. Let l = 2 + 0. Let z be 6*(-2)\/10 + l. Which is the closest to -2? (a) -1 (b) n (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92917079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (56\/(-42))\/((-2)\/3). Let n*s**2 - 6*s**2 + 2*s**3 - 8*s + 2*s**3 = 0. What is s?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.002 + -2.998. Let r = o - -2.9. Which is smaller: r or 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 3) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 12*i + 7. Does 15 divide x(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/24 + (-3)\/((-216)\/(-15)). Which is the second smallest value? (a) -0.1 (b) h (c) -3\/7 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-2 + 7 + -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11364, 22783, 34202?\n\"Answer: 11419*z - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2 - 6 - 1 + 4*m + 4 wrt m?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 218928 and 3584946.\nAnswer: 28679568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -98 + 96. Let y(w) = -2*w**2 - w + 2. Let o(g) = -g**3 - g**2 + g. Let z(t) = k*o(t) - y(t). Give z(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-396)\/(-546) - ((-48)\/(-52))\/6.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339517194 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 21. Let a be 2403\/(-7) - (-2)\/u. Let n = -216 - a. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33055899 greater than or equal to 33055899?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-18))\/(1270\/422910)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 849 + -864.08. Let r = j + 0.08. Let s = 13 + r. Which is the biggest value? (a) s (b) -1\/5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnkncnvnnnkvlk. Give prob of sequence kknv.\nAnswer: 11\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = m + 2*a - 30, 5*m = 3*a + 115. Solve -m + 0 = -5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 2*f**2 + 9*f + 2. Give t(5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1039591?\nAnswer: 7, 148513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 20*i - 6. Let w(k) = -61*k + 16. Let v(g) = 8*p(g) + 3*w(g). Let l(h) = -3*h**2. Calculate l(v(t)).\nAnswer: -1587*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8 - -1 - 0 - (-46 - -99 - 64)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 85*x**3 + 1 - 5 + x**2 - 62*x**3 as n*x + f + p*x**3 + z*x**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 150020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -601*j**3 - 601*j**3 - 5*j**2 + 1249*j**3 + 5*j**2 + 0*j**2.\nAnswer: 47*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/700*-492 - (-4)\/(-50)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*x - 6\/5*x**3 + 0 + 362\/5*x**2.\nAnswer: -2*x*(x - 60)*(3*x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-8)*((-8)\/9*1)\/(-2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11306 (base 9) to base 3\nAnswer: 101100020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i + 98 - 8 = 0. What is the common denominator of -7 + 6 + 154\/20 and 92\/i - -2 - (2 + -2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21189 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: What is 7656 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52 + 51. Let p(o) = -17*o + 14 + 0*o**2 + 0*o**2 - 3*o**2 + 4*o**2. Let n be p(16). Sort n, -5, t.\nAnswer: -5, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/10)\/1)\/((-27)\/(-120)*2)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-50))\/((-2)\/10). Suppose -2*m = -4*m + 10. What is the nearest to u in -1\/3, m, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 5. Suppose 0 = 4*y + 5*g + 7, g + 12 = k*y - g. Find j such that 2\/3*j**y + 2\/3*j + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4525, -4760, -5053, -5404, -5813, -6280?\n\"Answer: -29*y**2 - 148*y - 4348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 9 = -2*q. Suppose -q*x + x + 144 = 0. Is x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -368 < -396?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 639 - 638.9386. Round l to 3 decimal places.\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/95400 and 127\/107792460.\nAnswer: 1077924600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -244863 - -244998. Suppose -5*l + 37 = t, 3*t - 26 = 4*l + 47. Calculate the greatest common factor of t and a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*l - 47*l - 38*l - 60*l - 53*l + 274*l - 42*l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 2*x. Suppose 0 = -x*w - 4*w - 20. Let y be w\/((-15)\/(-6)) + 5. Solve z = y - 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1010)\/110 + 9)\/((-1)\/22). Solve 5*n = 2*z + 22, 3*n - n - 4 = -x*z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 82705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppptspsdii. What is prob of sequence dip?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 7*u**2 + 20*u - 28. Let h be r(4). Let j = -71 - -38. Let m = j - -33.03. Which is the fourth biggest value? (a) m (b) 5 (c) 2\/13 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 437551596 divided by -4\nAnswer: -109387899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 7404\/31907?\nAnswer: 7404\/31907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**3\/3 - 5*y**2 - 6*y + 551. Let p(m) = 2*m + 1. What is -11*p(x) - 2*s(x)?\nAnswer: 2*x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2556)\/2982 + 1 + 1 + 45\/(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 3*o**4\/8 - 3*o**3\/2 + 6*o - 19. Let j(k) = 0. Calculate k.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y + 3. Let o(h) = -4032*h - 5469. Let r(q) = o(q) - z(q). Differentiate r(f) with respect to f.\nAnswer: -4033","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-24)*132\/(-165). Which is the smallest value? (a) 0 (b) -2\/3 (c) -9 (d) x (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + g**2 - 2. Let d be n(0). Is (42376\/6)\/d*168\/(-112) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 - 30772899.\nAnswer: -30772940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33*b**3 + 3*b**2 + 385 wrt b?\nAnswer: 99*b**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 8:23 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.095388 to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -191 - (-110 - (-22 - -1)).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 - 25 = 11*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11105*k = -13439*k - 883584 for k.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5 + -1 - (3 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3440337 and 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 4*i**2 - 2*i**2)*(0*i + i + i) - 3*i**3 - 4 + 4 + (-3*i**2 - i**2 + 2*i**2)*(-4*i + 0*i + 2*i).\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-245)\/56 + 3 - 3\/(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 37, -2\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1758*b**5 - 96*b - 3 wrt b?\nAnswer: 35160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6954.\nAnswer: 2, 3, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -475*b + 447*b - 2*b**2 - 2063*b to m*b**2 + t + s*b and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n*o**4 + 130*n*o**3 + 31*n*o**2 + n*o - o**3 wrt o.\nAnswer: -48*n*o + 780*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -5*q**2 + 154*q - 47. Let n(x) = -3*x**2 + 104*x - 30. Let u(j) = -5*d(j) + 7*n(j). Determine u(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - s**2)*(0*s - 2*s**3 + 0*s) - 2874 + 2874 - 243*s**5.\nAnswer: -241*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 14, -4, 0, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 8 = w + 3*a, 4*a = -w + 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2628376741.\nAnswer: 409, 6426349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 divided by -102451?\nAnswer: 49\/102451","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 56*x**4 - 3*x**2 - 6*x - 4. Let b(a) = -a**2 + a - 1. Let s(t) = -4*b(t) + o(t). What is the third derivative of s(u) wrt u?\nAnswer: 1344*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 158 - 155. Suppose o - 60 = -2*c, -31 = -c + m*o - 1. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 7*c**4\/24 - c**3\/6 - 13*c**2. Let h be s(9). Let k = h + -6. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**3 - 27*l**2 + 14*l - 12. Determine y(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bq when two letters picked without replacement from {b: 6, q: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 x, and 1 m when three letters picked without replacement from {q: 1, x: 4, m: 5}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0*a*a**17)**(2\/81))**1 assuming a is positive.\nAnswer: a**(4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*p - 3*p**2 + p**2 + p**2)*(75*p + 51 - 51).\nAnswer: -75*p**3 - 900*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccco when four letters picked without replacement from occccocc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.4 - -28.4. Let r = -30 + n. Which is the nearest to r? (a) 3 (b) -1\/9 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 209?\nAnswer: -5\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -45, -62, -97, -156, -245, -370, -537?\nAnswer: -752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 787a (base 16) to base 13.\nAnswer: 11066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4689 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: Simplify 5 + (sqrt(468) - (sqrt(468) + -2))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15115 - 1005203?\nAnswer: -550044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 251461811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36*(-5 - (-252)\/48).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 20 (b) -42.7 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -94*t**4 - 582*t - 265155 wrt t.\nAnswer: -376*t**3 - 582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.019 + -107.981. Let v = -112 - f. Put v, 5\/2, 1, -6 in increasing order.\nAnswer: -6, v, 1, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1229 divided by 437174?\nAnswer: 1229\/437174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -6*x - 37. Give d(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h - 2*h**3 - 13 + 5*h**2 + 2*h + 69 - 3*h - 3*h in the form x + w*h**3 + o*h + r*h**2 and give x.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 6 = -v, 0 = -5*v - 3*b + 6 + 8. Factor -16*n**3 - 16*n**2 + 14*n**4 - 3*n**4 + n**v.\nAnswer: 4*n**2*(n - 2)*(3*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**6\/180 - k**5\/24 + k**4\/24 + 5*k**3\/3 + 8. Let s(f) be the third derivative of y(f). Is s(4) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5*y + 51 = -0*o, 90 = -5*o - y. Let r = o + 67. Calculate the greatest common divisor of r and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5711, 10159, 14607?\n\"Answer: 4448*t + 1263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2516729801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -85*b + 2. Let z be a(-2). Suppose 5*g - 9 - 6 = 0. Suppose 94 = 4*h - j, -58 = 5*h - g*j - z. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*q - 5*q**3 + q**2 + q**2 + 1 - 2*q**2 + q**3 to the form h*q + j + d*q**3 + x*q**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -51*r + 5. Let w(u) = -26*u + 2. Determine 4*i(j) - 10*w(j).\nAnswer: 56*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2*((-486)\/(-32))\/3 and 86\/20 - 2\/(-5).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2*z - 40 = 0, -5*c - z + 40 = -0*z. What is the least common multiple of c and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**2 + 1228*a + 5*a**2 + 282*a - 4025*a in the form f*a + t + v*a**2 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -146, -13, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(475) - ((sqrt(475)*-3 - sqrt(475)) + sqrt(475))) + -1.\nAnswer: 1 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Which is the closest to -0.2? (a) -0.09 (b) 0.04 (c) 0 (d) 3.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4470*u**2 + 73*u - 11 wrt u.\nAnswer: -8940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -10. Suppose -3*o + 2*o + 16 = 0. Let k = o - w. Calculate the lowest common multiple of 2 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -14.1. Let a = -6 + 2. Let y = i - a. What is y rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -j**5\/80 - j**4\/24 - j - 1. Let i(w) be the first derivative of y(w). Determine b so that i(b) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 times -0.5?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2868 times -0.1?\nAnswer: 286.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/1)\/(70\/(-1330))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 953 - 1327 = 0. Let m = 905 + j. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 2*g + 1. Let b be 7\/7*(3 - -2). Let c be (-3 - 40\/b)*1. Let j(n) = -3*n**2 + 6*n + 4. Let p(u) = c*d(u) + 4*j(u). Give p(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 33*w + 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 26*a + 1586. Give p(-61).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide ((-11541)\/(-12))\/(3\/24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**6\/360 + 259*c**5\/180 + 5633*c**4\/24 + 1849*c**3\/2 - 5*c**2 + 28*c. Factor h(j).\nAnswer: (j + 1)*(j + 129)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 - 440*j - 12100.\nAnswer: -4*(j + 55)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 2\/5 (b) 0.3 (c) -3\/4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15605 - 15649. Sort m, -40, 2.\nAnswer: m, -40, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2 - 4*r - 2. Let x be o(-2). Let j be x\/(-1)*(4 - -1). Calculate the greatest common divisor of 5 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3\/7 - 340*p**2 + 676*p + 7116\/7.\nAnswer: 4*(p - 593)*(p - 3)*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 37*g. Let h(l) = 2392*l**2 - 253*l. Let x(k) = 19*k**2 - 2*k. Let y(d) = -4*h(d) + 506*x(d). Give q(y(f)).\nAnswer: 1702*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 6. Let x be w(4). Which is the nearest to -2? (a) 1 (b) 5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*b + 4*b - 2*b)*(736 - 20*b**3 - 736 + (-1 - b**2 + 1)*(5*b + 2*b - 3*b)).\nAnswer: -240*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v = 13*v + 12. Let t(u) be the second derivative of 0 + 0*u**4 - 1\/90*u**5 - u + 1\/9*u**v - 2\/9*u**2. Suppose t(r) = 0. Calculate r.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34 - -5?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5179.\nAnswer: 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.111 - -0.411. Let m = 238 + -2616\/11. Which is the fourth smallest value? (a) 5 (b) t (c) 0.1 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12182998 and 14890.\nAnswer: 2978","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**4\/24 + 7*f**3\/6 + f**2. Let y(b) = 2*b - 4. Let h be y(4). Calculate g(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16.46 - 17. Let k = -0.14 - g. What is the closest to 2\/7 in 5, k, -5\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3887903\/3 greater than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**4 + b**3 - b**3)*(-1 - 5 + 4) + (-b + b - 3*b**2)*(6*b - 22*b + 10*b)*(-3*b - 2*b + 3*b).\nAnswer: -34*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 5*l + 23)*(-6*l + 6*l + 8*l**3) + 14*l**2 - 14*l**2 - 8*l**4.\nAnswer: 32*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/25*-9*-10. Let c(x) = -x**2 - 39*x - 96. Determine c(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of a**3 - 3*a**2 + 4*a. Let t(r) = 3*r**3 - 2*r**2. Calculate the remainder when g(6) is divided by t(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10010 (base 2) to base 4\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(96\/51 + -2). Let a = z + -61. Is 4 a factor of a\/6*(-6)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34867 and 1172?\nAnswer: 139468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2686363, 2686362, 2686361, 2686360?\n\"Answer: -s + 2686364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -8 + 4*i**2 - 5*i**2 - 4*i + 8*i + 3*i. Let r be y(4). Suppose h - t = 37, -r*h + 148 = -3*t + t. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2380841*n**6 + n**3 + 2477436*n**2?\nAnswer: -285700920*n**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 0*d**5 - 16*d**2 - 2\/3*d**4 + 0*d**3 + 0*d**6 + 0*d + 0*d**7 - 1\/112*d**8 + 0. What is the second derivative of w(c) wrt c?\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i. Let r(c) = -6*c - 1. Let a be (-4)\/10 - (0 + (-23)\/(-5)). Let j be 18\/(-1 - -7) + a. What is j*y(p) - r(p)?\nAnswer: 4*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 848.0641 years in decades?\nAnswer: 84.80641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5*h + 10, 0*h + h - 5*w + 2 = 0. Let l be -3*2*5\/(-5). What is the third derivative of 3*p**2 - h*p**6 + 6*p**6 - 2*p**l wrt p?\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -264*y - 11129. Let t be o(-50). What is the highest common divisor of 109 and t?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -140.2 - -140.6. Let m = 0.1 - 0.5. Which is the smallest value? (a) i (b) 1.7 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/7, -1\/6, 9, 1\/2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -245466, -490095, -734726, -979359, -1223994, -1468631, -1713270?\nAnswer: -1957911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**3\/6 + 23*n**2\/2 - 3*n. Let t be w(-16). Solve z = -t + 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v - 3. Let j(t) = t**3 - 3*t**2 - t - 5. Let m be j(4). Calculate b(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -18) + 227 + -245 - 52\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(166\/78 + -3 + (-525)\/45 + 12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -962, -3 in increasing order.\nAnswer: -962, -3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a microsecond in nanoseconds?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -6.14, 37, -0.0034?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-118)\/210 + 30\/70?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -307160000 to the nearest one million.\nAnswer: -307000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -439 + 442.28. Let h = x + -3.280147. Round h to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*z - 2576 - 5826 = -2902. What is the least common multiple of 40 and z?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 556553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 767*k + 3893*k + 13.\nAnswer: 3126*k + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9168 and 15?\nAnswer: 45840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 33307?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 2*r + 4*r - 16, 0 = -3*m + 3*r + 21. Suppose -f - 1110 = -m*f. Let k be f\/27 + (-2)\/9. What is the greatest common factor of 24 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1712995156?\nAnswer: 2, 1013, 422753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 - -69. Let x(a) be the third derivative of a**4\/4 - 7*a**3\/3 - 4*a**2. Calculate the smallest common multiple of k and x(4).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4529617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1822942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in 0.1, 0.031, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 7*i - 2 = -10*i, -5*n - 18 = i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -130826 + -1?\nAnswer: -130827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 892421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -0.2 (c) -1.4103801\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*i, a - 3*a + 84 = 2*i. Let k = a - 23. Suppose 4*m = 78 - k. Solve 3*g + 3*h = 21, -m = 5*g - 5*h - 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160086079?\nAnswer: 160086079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10548 = 22*b + 14*b. Let v = 441 + b. Is v a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 33?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5068 = -n. Suppose -4*d + n + 521 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**3 + 15*v**2 - 6*v - 11. Give d(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 594 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15269\/30 - -509. Let x(l) be the second derivative of -4\/3*l**3 - b*l**5 + 0 + 1\/3*l**4 + 8\/3*l**2 - 6*l. Let x(p) = 0. What is p?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*r - 5*n, n = 4*r + 5*n - 8. Suppose r*o + 4*v = 10 + 4, o = 4*v + 10. Suppose -o = -2*s - p, -s + 13 = p - 3*p. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 5*b - 58, -2 = 3*b + 3*g - 35. Let v = b + -10. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l. Let u(j) = 27318804*j. Determine a(u(c)).\nAnswer: 54637608*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7584.47051 rounded to the nearest 100?\nAnswer: -7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -4*n**5\/5 + 126*n**4 - 6688*n**3 + 100672*n**2 + 2044416*n + 4827. Let p(v) = 0. Calculate v.\nAnswer: -6, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 78299284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.7 - -13. Let h = -3.1 + r. What is h rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = w + 21, 2*g = -4*w + 17 - 11 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + 65?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 0.5 (b) -8\/43 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*l = -a + 13, 2*a = 5*l - 10. Let x be -8 + a - (0 + -3) - -10. Suppose 0 = x*v - 15*v. Solve 0*h + 5*h + 24 = -d, -3*d + 3*h = v for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjyjjjjj. What is prob of picking 1 y and 3 j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 549945 and 774015?\nAnswer: 2579791995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 4 - 4)*(2 + 1 - 4) + 1 - 3 - 1)*(-19 - 8*s + 19).\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a - 52 = 10*a. Suppose 0 = 2*j - 1 - a. Solve 21 - j = 2*x + 3*q, 5*x = 2*q - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 347378.\nAnswer: 2, 17, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-30 + (-16 - -19))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmmvvvvmmmmmm. Give prob of sequence mm.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 58. Let s be z(-14). Let g = -76 + s. Let f = -0.5 - 0. Which is the third smallest value? (a) f (b) 1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/((-16)\/3))\/((-9)\/4). Let s = -124039\/6 - -20580. Let i = s - -93. Sort -1\/2, 9, i, a.\nAnswer: a, -1\/2, i, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m + 888 = -126*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3643*s - 5. Let j(c) = 7389*c + 12. Calculate 14*b(i) + 6*j(i).\nAnswer: -6668*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15122 and 4?\nAnswer: 30244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12943*k + 14605?\nAnswer: 12943","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a gram in milligrams?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 less than or equal to 4.107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + j = 8 + 7, 6*q - 82 = -5*j. Let l(n) = 10*n**2 - 5*n + 2. Let h be l(-4). Calculate the greatest common divisor of q and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21411033 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.349637 rounded to three dps?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 7*u = w - 9, -4*w = -u - 11 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -u + 3. Let r(w) = 4*w**2 - 2*w**2 + u*w**2 - 3*w**2. Let a(o) = -2*o**2. What is r(a(v))?\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 2156*c - 17409. What is r(-8)?\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 a when two letters picked without replacement from rjrlrjar?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -8. Let k = 12 + -10. Suppose -k*x = 3*x - 80. What is the smallest common multiple of x and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**6\/10 + 12*q**5\/5 - 161*q**2\/2 + 129*q - 2. What is the derivative of g(i) wrt i?\nAnswer: -12*i**3 + 144*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -2\/5 (c) 0.7 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 621?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21020 (base 10) in base 7?\nAnswer: 115166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5 = -9*a, 0 = -4*k + 2*a + 334. Let q = k + -78. Let l(t) = 14*t - 57. Let z be l(q). Solve 3*c = -2 - z for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 4 = 0, -5*n + 4*s - 10 = -41 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29036895 is divided by 99.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -200*q + 407*q - 202*q. Let p(i) = -3*i. Calculate 4*f(w) + 7*p(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/5*(-20)\/(-8). Let w be 9\/1 + 2\/(-2). Suppose q*s = -s + w. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1327 + 1334 + (-33 - -1) + 20.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-50*k + 22*k - 2*k**2 + 17*k)*(k**2 + 1 - 1)*(-2 + 0 + 4) as l*k**4 + u + j*k**2 + y*k + r*k**3 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1026 - -1090. Suppose 13*g - 2226 = 6*g. What is the remainder when g is divided by n?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -4, 3, 4 in decreasing order.\nAnswer: 17, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 3 = -3*s. Let t be s*(1 - (-3 - -2)). Let q(l) = l**3 - 8*l**2 + 7*l + 7. Let c be q(7). Solve -t*h - 17 = 5*z, -z - h - c = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4694013041?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 2 = 13, h = -2*w + 11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {d: 1, q: 4, p: 1, k: 4}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1166\/4399*(-17)\/374?\nAnswer: -1\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 2*z**2 - 4*z + 5. Suppose 0 = 5*b - 4*b - 3. Let q be g(b). Suppose 0 = q*a - 64 - 66. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/18)*j**(-13\/5) assuming j is positive.\nAnswer: j**(-229\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90365.\nAnswer: 5, 11, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/11))**(-23)\/(f**(-2\/5)\/f)**13 assuming f is positive.\nAnswer: f**(1231\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 15244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3355 + 3962. Solve g = -6*y + 571 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 88*x**2 - 57*x**2 - 15*x**2 + 19 - 3*x**3 - 14*x**2 in the form j*x**3 + s + v*x + d*x**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 5.011. Let d = -316.1 + 320.311. Let r = c - d. Round r to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 824137 is divided by 146?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 2251 in descending order.\nAnswer: 2251, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 + -41. Suppose -h = -x + 3*n, 6 = -x - 3*n - 7. Suppose -x*s = 4*a - 134, -4*s + 52 = 4*a - 76. Is a a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 783*a + 884 = 851*a for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 + -42. Let b = 31 - o. Calculate the remainder when b is divided by (4\/(-1))\/(-2) + 8.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2312, 9221, 20732, 36845, 57560, 82877?\n\"Answer: 2301*u**2 + 6*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 42*y**3 - 39*y**3 + 58*y**2 + 3*y - 4*y - 65*y**2. Let x(u) = u + 8*u**2 - 2*u**3 - 3*u - u**3 + 3*u. Give 6*t(m) + 5*x(m).\nAnswer: 3*m**3 - 2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 27*o**2 - 51*o + 28. Let y be p(25). Suppose -2*i + 35535 = 3*q, -505 = -q + y*i + 11329. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*10*3\/60*17.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.39 - -0.11. Let p = k - 2. Let x = 0.4 - p. Which is the closest to x? (a) -0.1 (b) 1 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(1\/(-25))*-1. Suppose 7 = -h + 3*k - 7*k, 5*h - 28 = k. Suppose -5*b = h*u - r, 0 = u + 2*u + b - 15. Solve 0*d = -u*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 350*i. Let j(n) = n - 55. Calculate j(t(p)).\nAnswer: 350*p - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 4301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + u + 4*u = 39, 4*j - 4*u = 84. Suppose -10*n - 1184 = -j*n. What are the prime factors of n?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o**3 + o**2 + o. Suppose 2*g = 2 - 4. Let d be p(g). Let b(l) = -l**3 + 15*l**2 + 2*l - 14. Let c be b(15). Solve 0*m + d*m = c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4 + sqrt(252)*-1 + 5 + -4*(sqrt(567) + 0 - (sqrt(7) - (-5 + (sqrt(7) + 1 - sqrt(7))))**2).\nAnswer: -10*sqrt(7) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9*5\/45)\/((-3)\/18).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 17*y + 24. Determine r(-6).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - o**2 + 2*o**2)*(-4 + 1 + 2)*(-21 + 2*o + 21).\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 370 = 3*h, 2*h + 4*j + j - 243 = 0. Let k = h + -70. What is the remainder when k is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.05319 and 14385.\nAnswer: 14384.94681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 * 0.62541555\nAnswer: 0.562873995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 12*q**2 - 18*q - 17. Let z be m(-11). Let a be z\/810 + (-27376)\/(-27). Calculate the greatest common divisor of a and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 + -46. Let w be d + 2\/6*3. Is -1 + 508\/6 + (-1)\/w a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54941330 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1353*n + 13046 + 3495 + 21351 = -43288 for n.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3110459, -1 in increasing order.\nAnswer: -2, -1, 3110459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3\/8, 13, -587, 0.55.\nAnswer: -587, 3\/8, 0.55, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 1:30 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -948 equal to -947?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**3 - 6*o**3 + 17*o**3 - 5*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + (-46)\/(-6))*48\/40.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/sqrt(5))\/sqrt(2) - (sqrt(1377) + (-1*sqrt(1377) - sqrt(1377) - sqrt(1377) - sqrt(1377)))**2.\nAnswer: -12393 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 61 in 291, 0, 0.3, 1, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -1. Let c(s) = -2 + 2 - s**g. Let v(m) = 1188*m - 386*m - 397*m - 393*m. Give c(v(k)).\nAnswer: -144*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - 2)*149396\/156. Calculate the highest common factor of 51 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.6 + -9.6. Let l = p + 7.96. Let z = 0.022 - l. What is z rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.08 + 0.08. Let d = 35 - 32. Which is the closest to d? (a) k (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-11)*g**(-3\/2)*g)\/(g*g**(-1)\/g)**17 assuming g is positive.\nAnswer: g**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(175\/(-21))*5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 130*m**2 - 2835*m + 339362. Calculate t(132).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 4*k**2 + 160328592*k + 1606578588293904 = 0.\nAnswer: -20041074","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19620838*j**3*o*y**2 + 2*j**2*o - 8207*j**2*y + 2*j*o*y - 6*j*y**2 + 10*o*y + y wrt j.\nAnswer: 117725028*o*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8361666 to the nearest integer?\nAnswer: 2892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -41412 divided by 1\nAnswer: -41412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 5:29 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*s + 2*y, -1 = -2*y + 9. What is the common denominator of 133\/6 and s\/(-18) - (-5137)\/2178?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 3 - 4)*(-3*c + c + 0*c) - 243*c + 7633 - 7633 to the form y + k*c and give k.\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14912 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 423, 402, 381, 360?\n\"Answer: -21*s + 444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-11)\/165*5)\/((-70)\/276). Let w = s - 278\/105. Let i = 5 + 0. Which is the fourth smallest value? (a) 3\/2 (b) 0.1 (c) w (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (-4 + 78158767\/(-333)). Let q = -234715 + a. Let f = -16\/37 - q. Find the common denominator of 93\/8 and f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - u - 6 = a, -3*u + 2 = 2*a. Let p(d) = 6 - 3 + d**2 + 0*d + d. Let o be p(0). Solve -o*z + z = -a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.3? (a) -2\/5 (b) -1\/10 (c) 9\/2 (d) -2\/7 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9132917.\nAnswer: 9132917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 41*p**5\/5 + p**4\/2 + 2*p**3\/3 + 24*p + 53. What is the third derivative of z(d) wrt d?\nAnswer: 984*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + 1*sqrt(84) - sqrt(84))\/sqrt(12) + (-3*sqrt(7))**2*2 + -1.\nAnswer: sqrt(7) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, 0, -4, -3, 1, 25, 3 in decreasing order.\nAnswer: 25, 3, 1, 0, -3, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u - u**2 + u**2 + 4*u**2 - 3. Let c(b) = 3*b**2 + b - 2. Suppose -2*d + d + x = 3, -3*x = -4*d - 13. Let o = d - -8. Determine o*f(m) - 5*c(m).\nAnswer: m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/2 and (-11)\/(-33) + 46\/8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17951 or 17915?\nAnswer: 17915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 194.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1129 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.0299 times -0.0769\nAnswer: -0.00229931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1640 and -176.5.\nAnswer: -289460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6*l - 14. Let i be n(-3). Suppose i*o = 4*h - 228, 3*h + 0*o - o - 161 = 0. Let x = h - 50. Solve 11 = x*p + 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 4*p + 27 = 0, 0 = -970*f + 966*f - 4*p - 24 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18155468 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*p + 8*p - 153*p.\nAnswer: -163*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 + -11. Let k = 91 + -87. Suppose 5*y + k*b - 362 = 0, 3*y + 138 = 5*y + 5*b. What is the remainder when y is divided by m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*g*n**3*p - g*n**2*p - 207827567*g - 48538252*n**3*p + n*p wrt n.\nAnswer: -24*g*p - 291229512*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -10. Let c = 2 - q. Factor 0*x**2 - 2 + c*x**2 + 4*x - 7*x**2.\nAnswer: -2*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 5. Let g be i(3). Let b be g\/(-12) + 3\/9*34. Suppose -b = -4*f - x, -f + 2*x = -14 - 0. Solve p - f*p = 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 695.431 - -0.569. Let k = 696.1 - d. What is the nearest to -1 in 71, -5, k, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425083909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3848997 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13626 + -13633. What is the fourth smallest value in u, 1\/2, 1, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -444*c**2 + 1353*c**2 - 397*c**2 + 1235*c - 1235*c - 457*c**2.\nAnswer: 55*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1118)\/(-7) + (-4)\/(-14). Let s = 4687 + -4371. Let r = s - p. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/14 - (-150)\/(-14). Let c = t - -13. Suppose d - 4*l = -15, -d - c = l - 12. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -7*j**3 + 2*j + 6. What is the units digit of i(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74700798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 153*y**2 - 87*y**2 + 2*y**3 - 79*y**2 to j*y**3 + f*y**2 + o + u*y and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 273 - (39\/12 - (-2)\/(-8)). Suppose 3*l + o - j = -o, -o = -l + 85. Calculate the remainder when l is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 3*r - 7. Let c be v(6). What is the smallest common multiple of c + 3\/(5 + -2) and 48*(9\/27 - (-2)\/12)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/193490 and 21\/38698.\nAnswer: 193490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 5. Let l be (24\/132)\/(1\/154). Let s = 3 - 4. Which is the third smallest value? (a) l (b) s (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*u + 145*u = -13188. Let r = u - 1522. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 - 29. Let j(i) = 3*i - 1. Let d be j(a). Let g(q) be the first derivative of q**2 + 6*q - 1. Calculate g(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, g: 1, p: 1, k: 2}. Give prob of sequence kguu.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 23*b - 12852. Is b a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -o - u - 9, 0 = -3*o - 5*u - 25. Which is bigger: o or -17?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 7*i + 6. Let d be h(-6). Let x = -4 + d. Let y(q) = q**2 + 2*q - 1. Calculate y(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**2 - l**2 + 2*l - 4*l**2 + 7*l**3 + 9*l**2 = 0. Calculate l.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1939791 or 1939671?\nAnswer: 1939671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 151 = -2*c - 5*b, 39 = -2*b + 91 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k - 8. Suppose h + 18 + 7 = -4*g, -4*h = 3*g + 22. Let b = -2 - g. Let l be u(b). Solve l = i + i + 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3912?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 e when two letters picked without replacement from {k: 2, l: 1, e: 1, g: 2, i: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 767657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nfrku. What is prob of picking 1 f and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12, 8, -5, 41, 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2672298 divided by -3.\nAnswer: -890766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65 - 33. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 6 (b) -1\/11 (c) -1\/2 (d) -5 (e) 1.4 (f) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, p: 1, t: 1, n: 2, k: 1, b: 1}. What is prob of sequence opn?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -3*l**6\/10 + l**5\/30 - l**4\/24 + 1496*l**2. Calculate c(1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -35904*b + 107716. Let u be q(3). Factor 2\/3*i**5 + 0*i**u + 0*i + 0*i**2 + 0 - 2\/3*i**3.\nAnswer: 2*i**3*(i - 1)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 864 + 934. Is 65 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 48 + -57 + -3 + -4 + 5 + 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1 - (14 - (4 - -9))) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 953.0675ug to milligrams.\nAnswer: 0.9530675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 5 (c) 3 (d) 1 (e) 483\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, v: 1, d: 2, o: 3}. What is prob of picking 2 o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -2\/17, 2\/25, -0.5 in increasing order.\nAnswer: -0.5, -2\/11, -2\/17, 2\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 109\/3 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 4191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20189340?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4960 and 10540?\nAnswer: 84320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 16*f**2 + 20*f - 35. Let l be o(17). Solve 2*x + 2*x = -l for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 116*u + 109*u + 60 - 230*u. Let d be s(11). Solve -5*g - 8 + 24 = 4*v, d*g = -2*v + 18 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - -1350*400*60. Suppose 0 = -9*j + 7*j + t. What is j rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyrr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.8 (b) -2\/25 (c) -8\/10087 (d) -1 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*y - 5*b + 205 = 0, -b - 184 = -4*y. Let l be (-118)\/y + (-2)\/(-9) - -3. Put l, 2, 3\/7 in decreasing order.\nAnswer: 2, l, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.9 + -5.9. Let w = 27 + -27. Let h = w - a. Sort h, -4\/3, -2 in increasing order.\nAnswer: -2, -4\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of 0*q + 0*q**3 + 0 - 142*q**2 + 55\/24*q**4 + 29\/20*q**5. What is the second derivative of l(r) wrt r?\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -877 + -0.2.\nAnswer: -877.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2037 + 2037 + (-1 - 0) + -10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/292717034?\nAnswer: 1\/292717034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1907*a**4 - 6827*a**2.\nAnswer: 45768*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 79 = -3*n + 697, 5*h - 970 = 2*n. What is the first derivative of -67*i**2 - 70*i**2 - 23 - 72*i**2 + h*i**2 wrt i?\nAnswer: -30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 2*b - 5, o - 2*o - 5*b + 30 = 0. Let m = -117 - 51. Calculate the common denominator of (-142)\/m + -2*o\/(-40) and -1\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9969, 10343, 10717, 11091?\n\"Answer: 374*w + 9595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2873966 (base 12) to base 6\nAnswer: -445530210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 3*n**2 + 0*n - 3\/2*n**4 + 0*n**3 + 34 + 3\/5*n**5. Find the second derivative of j(q) wrt q.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 8\/3, 2\/11, 0, 60.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 2*y - y)*(-3*y**4 + 5*y**4 + 0*y**4 + (-2*y + y**2 + 2*y)*(-y**2 + 3 - 3)).\nAnswer: -y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (6\/(-1) + -3). Suppose -5*m + 14 = r + 2*r, -k = 5*r. Let a = 12 + m. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/12)\/(6\/54))\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7039 + 168857\/24. Calculate the common denominator of 11\/21 and o.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of g**4\/4 + g**3\/2 - g**2\/2 - 827*g + 1. Let i = 5 - 3. Let m(q) = -2*q + 4*q**i + 4*q + 2*q - 1. Calculate 7*h(v) - 5*m(v).\nAnswer: v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104874 is divided by 40.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/((-120)\/6)*(-16)\/(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 395cedd - 1a?\nAnswer: 395cec3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*1\/2)\/((-12)\/16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133689353?\nAnswer: 7, 73, 397, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-80) - (282\/(-90))\/(364\/(-819))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -22, -73, -156, -271, -418, -597?\n\"Answer: -16*u**2 - 3*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 - -53611?\nAnswer: 53600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((56\/(-21))\/4)\/(1\/(-15)). Let r = g - 9. Which is the nearest to -1? (a) r (b) -1 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001530408 rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136 = -21*f - 129 + 433 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.6 (b) 27 (c) -3 (d) 426 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand s + s**4 - s + (0*s**4 - 4*s**4 + 3*s**4)*(26 - 83 - 40) + s**4 - 5*s**4 + 7*s**3 + 5*s**4.\nAnswer: 99*s**4 + 7*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -k**3\/3 - k**2\/2 + 2*k - 8. Calculate u(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/2*1\/6)\/((-8086)\/1244).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (6 - (-84)\/(-6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*h**4 - 17*h**4 + 2*h**2 - 28*h**3 + 0*h**2 - 1 + 26*h**3 to l*h**4 + f*h**3 + j*h**2 + u + d*h and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6)\/n*n*n\/n**(-19))**(-6\/7) assuming n is positive.\nAnswer: n**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 301 - 305.3. Let q = g + -83.2. Round q to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/3 - 2196*m**2 + 2722815*m + 3108929850.\nAnswer: (m - 3645)**2*(m + 702)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 628347.\nAnswer: 3, 209449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(77) + 2*sqrt(77)))\/((sqrt(7) - -1*sqrt(1008)) + sqrt(7))*-2 + -5)**2 + -1.\nAnswer: 30*sqrt(11)\/7 + 1275\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*l**4 - 14*l**3 + 2*l**2 + l - 41?\nAnswer: 696*l - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o. Let c(q) = 1529*q + 242. Let d(f) = -58*f - 12*f + 19*f + 96 - 104. Let w(m) = 4*c(m) + 121*d(m). Give u(w(k)).\nAnswer: 55*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 6*l**2 - 4*l + 1. What is q(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 353*g**2 - 417*g**2 + 215*g**3 + 64*g**2.\nAnswer: 215*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8558, 17103, 25648?\n\"Answer: 8545*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.642898525 minus -3?\nAnswer: 43.642898525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -48, -104, -174, -264, -380, -528, -714, -944?\n\"Answer: -t**3 - t**2 - 46*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 25, 215, 719, 1693, 3293?\n\"Answer: 26*u**3 + u**2 + 5*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6e50 (base 15) to base 4.\nAnswer: 11232303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 115371838*f**4 - 125186252*f wrt f?\nAnswer: 1384462056*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24973051433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 9*p**7\/7 - 3*p**3 + 11. Find the third derivative of s(u) wrt u.\nAnswer: 1080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 30. Let u(y) = y. Let d(h) = -2*h. Let q(m) = d(m) + u(m). Let j be q(-5). Sort i, j, 6.\nAnswer: i, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131 (base 6) to base 5.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1131, -2285, -3415, -4521, -5603, -6661?\n\"Answer: 12*i**2 - 1190*i + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78740 by 508.\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 1847?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54977056*v**3 - 17*v**2 - 6*v - 14508 wrt v.\nAnswer: -329862336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 391\/35 - 74\/7. Let m = -0.2 + 0. Let v = -0.2 + m. Which is the nearest to -0.2? (a) v (b) y (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -406 divided by -2\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 5*l + 117 - 29 = 0 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(432)*-1)**2 - ((0 + sqrt(432))**2 + 3 + sqrt(432)).\nAnswer: -3027 - 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 12*n**2 - n + 15. Let f be y(12). Find the second derivative of -7*a**3 + 4*a**2 - 16*a**f - 4*a**2 - 13*a wrt a.\nAnswer: -138*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6.302922kg?\nAnswer: 6302922000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3*(-78)\/26?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3795298 (base 10) to base 5\nAnswer: 1432422143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-101)\/303 + (-2)\/3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -916\/5 - -184. Suppose -4*l - 32 = 3*d, 7*d - 4*l = 3*d - 52. Let k be 16*(3 - (-33)\/d) - -3. Sort -0.1, m, k.\nAnswer: -0.1, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*r = 14*r - 28*r + 2*p - 12, -5*r + 13*p = r + 135 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 39674*g - 19827*g - 10*g**2 - 19739*g. Let q(c) = c**2. What is d(q(x))?\nAnswer: -10*x**4 + 108*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/3 - 13084*k\/3 - 65470\/3.\nAnswer: 2*(k - 6547)*(k + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 1\/4, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1160\/57 or 20?\nAnswer: 1160\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 88*c**2 + 102*c - 1347. What is y(87)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 2. Let x = -26 - -29. Suppose -5*k - x*l = -0*l - 9, 7 = k - 2*l. Calculate the lowest common multiple of k and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 165 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50.16123 - -0.14623. Round n to the nearest integer.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 8*a + 48 = 0. What is the third derivative of -43*w**3 - 2*w + 14*w**3 - 4*w**2 - 29*w**a + 6*w**3 wrt w?\nAnswer: -312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 11:30 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4480989?\nAnswer: 3, 1493663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 80 (b) 3\/8 (c) -0.5 (d) 0.101 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - (-3 - -1) - 2. Suppose 2*k - d = 4*k. Let i be ((-6)\/(-6))\/(2\/10). Which is the second biggest value? (a) 0 (b) i (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2. Let k(i) = i**2 - 14*i - 16. Let n be k(15). Let b(w) = -5*w**2. Let c(q) = q**2. Let m(x) = n*b(x) - 6*c(x). Give m(u(d)).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 208830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 2*g - 3*g)*(-3 - 1 - 4) + (1 + 1 - 1)*(0 - 13 - 2)*(-2*g - 3*g + 3*g).\nAnswer: 38*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (446*j**2 + 1265*j**2 - 3529*j**2 - 3461*j**2)*(-5*j - j + 4*j).\nAnswer: 10558*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d + 20. Let s be k(9). Let l be (s\/285)\/((-1)\/6). What is the closest to -0.1 in l, -0.5, 3\/8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3495?\nAnswer: 3, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/(4598\/(-66))*-110.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w + 2*w + w**2 - 2*w**2 - 4*w. Let g(m) = -3*m**2 - 3*m. Let h(u) = -4*f(u) + g(u). Suppose 140 = 6*r + 11*r + 11*r. Determine h(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**6 - f**4 + 27800*f**3 - 156*f**2 + 56*f?\nAnswer: -120*f**3 - 24*f + 166800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 6. Let k be u(12). Suppose 146*o + k = 152*o. Solve 3*t = o*h - 6, -2*h - 2*h - 7 = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/128637153 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 15.91833s?\nAnswer: 0.2653055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 0*q**3 + q**2 - 11\/12*q**4 + 11\/20*q**5 + 0 - 36*q. Find the second derivative of p(a) wrt a.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (75\/(-40))\/(-3) - 55\/88.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 3*f + 2*f - 10, 3*k + 676*f - 679*f = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ifff when four letters picked without replacement from fffi?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 140 = -4*z, -7*z + 2*z + 2*a + 175 = 0. What is the remainder when 108 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (-20 - -17) - (-27 - -9).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + c - 1)*(20 + 16 + 18)*(17 + 2 - 12)*(6*c**4 - 2*c**4 - 3*c**4).\nAnswer: 378*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -176 or -175?\nAnswer: -176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 228*b + 61. List the prime factors of i(2).\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -9*h - 52. Determine i(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (9 - 3)*(-339867)\/(-198)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1668759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 7*k + 19. Suppose -8*w + 30 = -3*w. What is the units digit of y(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4768 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 452191*p - 452189*p + 56 for p.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 1023 = 5*q, 102*w + 1446 = 106*w + 7*q. Solve w*y - 36 = 339*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87, -62, -7, 90, 241, 458?\nAnswer: 753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + v**2 + 3*v)*(-2*v - 3*v + 6*v)*(-2 + 1 + 3).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 4*u + 229, -4*u - 65724 = 285*t - 65785 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 11.044. Let s = 10.18588 - 0.02988. Let l = s - y. Round l to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3408*a - 272. Let j be n(7). Suppose j = 30*m + 14*m. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/((j*j**10)\/j))*j)\/j**(-12)*(j*j*j\/(j\/((j**(-2\/17)*j)\/j)))\/j**(-13))**(-1\/16) assuming j is positive.\nAnswer: j**(-161\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 5195, -4.86, -5?\nAnswer: -4.86","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 less than -33519.4?\nAnswer: -33543.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -623*t + 14. Let u(g) = 708975*g - 15939. Determine 2277*l(n) + 2*u(n).\nAnswer: -621*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 9*r - 69. Let u be m(10). Suppose y - 25 + u = 0. Suppose 0 = y*x - 108 - 4. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fg when two letters picked without replacement from rigkiigifgpi.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/1508 and 37\/56?\nAnswer: 21112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g - g - g)*(-3 + 0 + 0 + (-1 + 1 - 1)*(-1 + 2 + 0) + 4 - 3 + 1 + 2 + 2 - 3 + 1 + 3 - 2)*(5 - 26 - 3)*(1 - 1 + 2*g).\nAnswer: 288*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v - 4*m + 105 = 8*v, 5*v - 7 = -2*m + 18 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.2 + 0.2. Let j = 2 - 2. Let o = 0.1 + -1.1. Which is the closest to o? (a) n (b) j (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -325 - -325. Suppose -2*d - 3*s = -7*d + 17, u = 5*d + 4*s - 24. Solve 3*x + d*j + 17 = 2*x, -2*x - j = 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 10, -263, -4 in descending order.\nAnswer: 10, 9, -4, -263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -501 + 154 - 439*w + 184 + w**2 + 162 to v*w + k + z*w**2 and give v.\nAnswer: -439","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - -146. Let u = l - 169.3. Sort u, -0.2, -14 in descending order.\nAnswer: -0.2, u, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8060523?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -4*r - 0*r. Let o = r - -18. Let f(x) = 2*x**2 + 5*x - 7. Let d(y) = -y**2 - 4*y + 6. Determine o*f(v) - 5*d(v).\nAnswer: -3*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 903*d + 156. Let n(b) = 365*b + 52. Let x(z) = -547*z - 79. Let j(r) = 7*n(r) + 5*x(r). Let m(l) = 2*c(l) + 11*j(l). Differentiate m(w) wrt w.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6484, 6467, 6450, 6433, 6416?\n\"Answer: -17*l + 6501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -878 + 35117\/40. Put a, 5, -2 in ascending order.\nAnswer: -2, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 7:14 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 282\/(-99) + (2 - 0) + (-158)\/(-237)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2559.16 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -29*l - 20. Let y(b) = 10*b + 7. Let w(x) = -8*y(x) - 3*z(x). Let d(g) = -4*g + 4*g + 2 + 4*g - g. Let i(t) = -5*d(t) + 2*w(t). Determine i(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1667928025 and 393?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11101.653 + -11094. Let l = -0.918 - -2.441. Let u = l - g. What is u rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 1\/2*x**2 + 8*x - 9. Let z be u(-4). What is the greatest common factor of 8 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 28 + 0*q + 1\/660*q**6 - 2\/165*q**5 + 1\/132*q**4 + 2\/11*q**3 + 2*q**2. What is m in w(m) = 0?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 11, z: 9}. What is prob of picking 1 z and 2 j?\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 9*x**2 - 3*x + 1. Suppose -2*r = -4*w + 40, 3*r = 4*w - 59 + 17. Let p be y(w). Let u = p - -27. Solve -4 = j - u for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(-3*sqrt(22)\/sqrt(2)) - (sqrt(19) + (sqrt(19) - sqrt(1900)*-2) + -6*(sqrt(19) + 0 - sqrt(19)))**2.\nAnswer: -9196 - sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**2 + 115*l - 600 = 0. What is l?\nAnswer: 8, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.6833109 days?\nAnswer: 59038061760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) + -1*(0 + sqrt(242)) + 1 + 3)*-2)**2*-2.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16*45\/80 - (-158)\/(-18)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -96, -124?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -13*i**3 - 2*i**2 - 5. Let r(h) = -13*h**3 - 3*h**2 + h - 6. Let c be (-2)\/(3 - 35\/10). Let o(n) = c*p(n) - 3*r(n). Is o(-2) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/69 (b) -14 (c) 4\/5 (d) -1 (e) 2 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 12*b**2 + 12*b + 20. Is i(-11) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 8*n + 0 - 2 - 7*n. Let k be g(2). Let u be 4\/6 + 14\/6. Solve k = 4*o - 5*w + 31, -u*o + 3*w - 21 = -0*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/37)\/(n*(n**(11\/4)\/n*n)\/n) assuming n is positive.\nAnswer: n**(-415\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*d - 3. Suppose -3*y = d - 9. Which is the second biggest value? (a) -3 (b) -3\/10 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 - 4)*(4 - 2*k - 4) to n*k + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3504 by -584.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12, 1211, 5290, 13893, 28688, 51343, 83526?\n\"Answer: 278*p**3 - 240*p**2 - 3*p - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 j when two letters picked without replacement from kmtkjkmmmnmjjtjkmpjm?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -522959.4 rounded to the nearest one thousand?\nAnswer: -523000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 8. Let u be 0 + 1*9\/v. Let h = 179\/410 - 3\/82. Which is the third smallest value? (a) h (b) u (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 2, v: 5, d: 8, g: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 - 1)*(55 - 26 - 36) - 1 + 2 - 2)*(5 + u - 5).\nAnswer: 27*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-8)\/h*h*h**6)\/((h*h*h**(2\/25)*h*h)\/(h*h**(1\/5))) assuming h is positive.\nAnswer: h**(-122\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/6 + 6\/(-18). Suppose 2*x - 102 = -n*x - 5*q, -4*x = 5*q - 184. Calculate the remainder when x is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12769468, -25538945, -38308424, -51077905, -63847388, -76616873?\nAnswer: -89386360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8149211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(187)*4 + sqrt(187) - sqrt(187))*-3)\/(sqrt(396)*3).\nAnswer: -8*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0354 + -0.035133. Round h to five dps.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4764\/(-49625))\/((-27)\/(-90)*(-2)\/(-15)*5).\nAnswer: -12\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32696947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 3677773.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 9*o - 1\/2*o**2 + 3. What is u(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/66 - 408\/(-1122)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-7 - 3) + 7 - 13\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9690 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(14)*-2)\/((sqrt(22) - sqrt(66)\/sqrt(3))\/sqrt(11) + sqrt(2)) + 3 + 5*((sqrt(847) - (1 + sqrt(847))) + sqrt(847)).\nAnswer: -2 + 49*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 5*h**5 - 460*h**4 - 22295*h**3 - 301250*h**2 - 1464000*h - 2340000 = 0.\nAnswer: -15, -4, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - j + 18 = 0, -6 = -j - 2. Let x(f) = f**2 + 5*f - 2. What is the units digit of x(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-18) + (9760\/(-2340))\/(-8).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38203475?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 + -30. Is -6 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from qnnqnnc?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -12) + 10 + -7 + 3 + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 42*g - 13*g + 4 + 6 as u*g + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/2*408\/1020. Suppose 0 = 5*m - 2*g - 30, 2*m + 5*g + 5 = -12. Suppose -t = m*j - 17. Solve j*u - n - 2 = 2*n, 3*u - n + 1 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 19. Suppose -3*r + 50 = i. Calculate the lowest common multiple of 12 and r.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**3 - 2*t**2 - 4*t. Let h be c(3). Let f = 19 - h. Sort -3, 3, f, 7 in increasing order.\nAnswer: f, -3, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 26801*j**2 - 6*j + 5. Let i(q) = q + 5. Let a be i(0). Let r be x(a). What is r rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 37 = 283. What are the prime factors of j?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1175 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 51 + 7 = -p, -3*p - 52 = -2*t. Solve -13*i = -15*i + 8, 2*i - t = 5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(130)\/(-5*sqrt(10)*3) + ((sqrt(78) + sqrt(78)*3 + sqrt(78))*3)\/sqrt(6)*-4)*1.\nAnswer: -901*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 1 + (-2)\/2. Let l = -1579 - -1588. What is the nearest to q in -2, l, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/(sqrt(70)\/sqrt(7) + sqrt(10)))\/(-4*sqrt(180)).\nAnswer: -sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2862 and 52832043.\nAnswer: 316992258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1112*w - 88*w**3 + 12*w**2 - 1104*w + 130*w**6 + 94*w**3 wrt w.\nAnswer: 15600*w**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3cc (base 13) to base 15.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 428.961096 - 19665.5?\nAnswer: -19236.538904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 3*p = -10, -18*t + 16*t = -4*p + 18 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18.9? (a) -0.5 (b) 4 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 1:02 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(220\/77)*(-10)\/(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -121*t - 32 = 122*t + 1912 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + f + 2. Let k be i(-2). Let y be (-9)\/24 - (-102)\/16. Let v = k + y. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g + 2*g + g + (3*g + 0*g - 2*g)*(2 + 1 - 5) - g - 3*g + 2*g + 396 - 107*g - 396.\nAnswer: -110*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 = 3*u + 538. Let o = u + 515. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4950 + 5650 = -1345*g - 18130 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 127435.2 litres in millilitres?\nAnswer: 127435200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(1\/6)*d**(-1\/4)\/d)\/(d\/(d*d\/(d\/d**2))*d*d**(2\/11)) assuming d is positive.\nAnswer: d**(97\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 + 0)*(0 - 5 - 3 + (-4 + 0 + 3)*(1 - 4 + 2))*((-3*a + 5*a - 4*a)*(1 - 3 + 7) - 3 + 3 - a) - a - 14 + 14 as z*a + b and give z.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 118 - -105. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119 divided by 44\nAnswer: 119\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -u + 23, -10*u + 6*u = -4*d + 8. Solve -d*l + l - 12 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 + (9 - 2 - (46 - 36))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(204) - (-5*2*sqrt(204) - sqrt(204)))\/((sqrt(972) - (sqrt(972)*1 + sqrt(972))) + sqrt(432) + sqrt(432)*-1 + sqrt(432))*3 + 2.\nAnswer: -7*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -80*j + 36*j + 25564. Calculate the highest common divisor of j and 332.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-18)*(-3 - (78\/(-12) + 8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -7*k**2 + k. Let w(h) = -8*h**2. Let b(j) = -7*p(j) + 6*w(j). Let v(u) = 0*u**2 + 27*u + 49*u + u**2 + 0*u**2 - 82*u. What is -4*b(c) + 5*v(c)?\nAnswer: c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 g, 1 f, and 1 r when four letters picked without replacement from gxrfxexexr?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100 - -1000001110100?\nAnswer: 1000001011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b - 4 + 4)*(-4*b + 2*b + 3*b)*(2*b + 2*b**2 - 2*b)*(-5 - 1 + 1).\nAnswer: 40*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-147*y + 47*y + 2 - 1)*(8 - 114 - 33) in the form b + z*y and give b.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 1670.\nAnswer: 2\/835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2438947 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1368 - -1401. Solve z = 12*z - h for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*o - o - 3*o)*(-2*o + 3*o + o) + 1 - 2*o**2 - 1)*(-129*o - 10790*o - 5286*o).\nAnswer: 97230*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 7*l - 5*c - 2492, 3*l - 7546 = c. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -0*v - 2*v. Suppose 3*x + y = -10, 2*y = -3*x - 2*y - v. Let s = x + 4. Which is smaller: s or 3\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -576547*a**4*x - 2*a**3*x**2 - 7*a**2*x - 114*a*x - 3*x**2 + 16 wrt a?\nAnswer: -13837128*a*x - 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 155 = 5*a, -5*a - 200 = 20*b - 15*b. Put 0, 3, b, -5 in increasing order.\nAnswer: b, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**3*c)**(-5))**(2\/29)\/((c\/c**(-3\/4))**(-4\/15))**(9\/7) assuming c is positive.\nAnswer: c**(-163\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2964341279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2266296.\nAnswer: 2, 3, 89, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1929 is divided by 371.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-128)\/5)\/(5\/(-25)). Suppose -2*y + 306 = 4*d, 0 = 3*d + 5*y - x - 119. Let w = 79 - d. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2100*s - 2 + 1 + 1. Let b be c(-2). What is b rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 23 + -411?\nAnswer: -3bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3656\/9 or -407?\nAnswer: -407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-414)\/(-45) + (-77914)\/1195?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -103 + 106. Put 0, -2, 0.3, u in decreasing order.\nAnswer: u, 0.3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 + -16. Suppose 0 = 42*s - 46*s + 2752. Calculate the greatest common divisor of s and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2546836, 2546835, 2546834, 2546833, 2546832, 2546831?\n\"Answer: -x + 2546837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 - 7485\/1250)\/(18\/5). Let j(g) be the third derivative of 0 - g**2 + o*g**5 + 1\/30*g**3 - 1\/60*g**4 + 0*g. Find a such that j(a) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddhjjdjj. What is prob of sequence dh?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -12*g + 7*g - 15, 2 = g - 4*l for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26776436 - 5?\nAnswer: -26776443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -140, -510, -1126, -1988, -3096, -4450?\n\"Answer: -123*f**2 - f - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtyjjyjydyd. What is prob of sequence yy?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 9*v + 2*v**2 + 14 - 3*v**2 + 3*v. Let u = -12 - -24. Calculate the smallest common multiple of j(u) and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 202 and 10?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**5 + g**3 - g**3 - 3*g**5 - g**5 + g**5 + (2*g**4 - 4*g**5 - 2*g**4)*(0 + 2 - 4))*(-2 + 12 - 6) + (g**3 - g**3 - g**5)*(-1 + 0 + 3).\nAnswer: 10*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -65, -43 in decreasing order.\nAnswer: -2, -43, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/5)\/((-34*1)\/(395800\/11874)).\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1\/3)*d)\/d)\/d**(-4)*(d\/d**(-5))\/(d*d**(-5)))\/((d\/d**(-1\/2))\/d**(-3\/2))**(-37) assuming d is positive.\nAnswer: d**(374\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - v + (4 + 1 - 6)*(3*v - 1839*v + 44*v).\nAnswer: 1791*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6514 is divided by 103?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/((-6720)\/(-36))*155\/(-1116).\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**3\/6 - 3225*q**2\/2 - 8380801*q\/6 + 2796825\/2 = 0.\nAnswer: -801, 1, 10475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*t + 32*t**2 - 8*t - 14*t + 8*t**2 - 3*t.\nAnswer: 40*t**2 - 10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 19*q + 1. Let v be x(19). Let l be 172899987\/91 - v\/(-7). Suppose -9*j + 14*j = -l. Round j to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 8:56 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 s when three letters picked without replacement from {g: 1, z: 2, s: 1, h: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*h + 21*h + 18 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 + -43. Let i = 3\/2042 - -48975\/22462. Let p = i - 107\/44. Is c > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + 2*g + 5*g)*(-119 + 121 - g + 8*g) as f + c*g + k*g**2 and give k.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 147, 205, 273, 345, 415, 477?\nAnswer: 525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -675 = 11*a - 16*a. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 4 = 0, 8*g = -4*m + 11*g + 11 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2.024*-0.79\nAnswer: 1.59896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -4*m - 2*n, -m - 4*m - 5*n + 80 = 0. Let o = 52 + -34. List the prime factors of (-75)\/(-6)*o\/m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0439611 >= -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -82*h + 2712. Calculate the remainder when m(31) is divided by 78.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (28 - -1) - -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1428600 rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12872831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**3 + 8*d**2 - 4*d - 1. Let t(k) = k**3 - k**2 + k. Let c(l) = -g(l) - 5*t(l). Let i be c(-2). Factor -2*n**4 - 15*n**2 + i*n**2.\nAnswer: -2*n**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528358928 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-3*((sqrt(1000)*-4 - sqrt(40))\/sqrt(4))\/((sqrt(726)*-3 - sqrt(726) - sqrt(726))\/sqrt(3)).\nAnswer: 252*sqrt(5)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 193, 16, -4, -2 in descending order.\nAnswer: 193, 16, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + ((-2 - -4) + 0 - (5 - 8))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 10 = -2*c. Does 10 divide (c\/(-3))\/(2\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1541, 10031, 32995, 77669, 151289, 261091, 414311, 618185?\nAnswer: 879949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**3 - 3*k**2 + k - 4. Let p be y(-3). Suppose -1616 = -8*q - 64. Suppose 31*a - q - 116 = 0. Solve -4*n + p = -5*t - 1, 5*n + t = -a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, t: 3, p: 4}. What is prob of picking 1 c and 1 t?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*g = 124. Suppose -5*b + 13 + g = 0. Calculate the highest common factor of 10 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + (9 - (8 - (3 + 1))).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, f: 2, g: 9, l: 1}. What is prob of picking 1 g and 2 f?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence azz when three letters picked without replacement from azz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((6 + -8)\/(-1 + 3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 121, 3, 5, -3\/2 in ascending order.\nAnswer: -3\/2, 3, 4, 5, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) 0.2 (b) 52 (c) -303\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24\/227 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 2*w - 12 = 0, 330*w - 24 = k + 3*k + 331*w for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 136 - 45 - 79 - 75.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -114\/5 + 342\/5. Let g = 46 - x. Factor 2\/5 + 0*d - g*d**2.\nAnswer: -2*(d - 1)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2960243\/3255444 - 640\/701. Find the common denominator of 143\/1548 and x.\nAnswer: 4644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23454012499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(2\/5)*g*g)**(-15)\/(g\/g**(2\/7))**(-44)*((g*(g\/(g\/g**7)*g)\/g)\/(g**(-4\/7)\/g*g*g))**42 assuming g is positive.\nAnswer: g**(2173\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/5 of a kilometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u - 3*l, 2*l - 10 = -3*u - u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 8*i**3 + i + 0 - 6*i**3 + 3*i**2 - i**2 - 1. Let c be k(-4). Let o = -17 - c. List the prime factors of o.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 1200921570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223513829?\nAnswer: 7, 11, 2902777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5\/1126 + 180125\/7882. Suppose -o*f**3 - 54\/7 - 72\/7*f**2 + 128\/7*f**4 + 162\/7*f = 0. What is f?\nAnswer: -1, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 117.55192 to 1 dp.\nAnswer: 117.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4748 + 6*q + 4748.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1564 (base 8) in base 5?\nAnswer: -12014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13575457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102952?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-97*z - z - 25*z)*(-139*z + 139*z + 29*z**4) - 4*z + 4*z - 3*z**5.\nAnswer: -3570*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 + -66)*(2\/3)\/(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70\/(-245)*(-478394)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 273.5 - 228. Let w = h + -45. What is the second smallest value in 1, w, 5, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*o = 0, 4*f + 4*o = -o. Let a be (-4 - 1*-2) + f. Is ((-37)\/3 - a)*-3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -2*z + 3*o, -z - 1 = -3*o for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/1295 and -97\/29085.\nAnswer: 1076145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1252, -1272, -1292, -1312, -1332?\nAnswer: -1352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 72 = -4*t + 117, -4*t + 2*v + 46 = 0. Calculate the greatest common divisor of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, e: 2, y: 3}. What is prob of sequence bbyy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2 + u - 13. Let p(i) = -i**2 - i + 1. What is g(a) + p(a)?\nAnswer: -3*a**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + -1. Let a(o) = -o**3 - 4*o**2 - 3*o + 2. Suppose 2*i - 78 = -2*c, 5*c - 238 = -4*i - 84. Calculate the remainder when i is divided by a(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 0*k**2 + 15*k - 5\/54*k**4 + 0*k**3 + 0 + 1\/90*k**5. Factor n(b).\nAnswer: 2*b**2*(b - 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -7704*v - 277295. What is g(-36)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 8*c**2 - c - 7. Let n be t(9). Let u = 184 - n. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -137538, -275084, -412630, -550176, -687722, -825268?\n\"Answer: -137546*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221011032 (base 6) to base 15.\nAnswer: -535762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13\/2 - 795\/(-318). What is the greatest common factor of s and 187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10772587 (base 9) to base 8\nAnswer: -24002425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2090 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -28180.64 rounded to the nearest one thousand?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from uaauquunuaaaaanaau.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 9, k: 2}?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 880b (base 13) in base 5?\nAnswer: 1101224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 6 = 2*j. What is the derivative of 3 - j*o + 7 + 0 wrt o?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*v = -66. Suppose 3*q - u = 16, -4*q - 3*u = -3*q - v. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) -7 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 1 + 0*h - 4*h + 3*h. Let y be o(7). Let t(r) = -7*r - 9. Let x be t(y). What is the greatest common divisor of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15.1 + -16. Let f = -0.8 - n. Which is the closest to -1\/6? (a) 0 (b) 1\/4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.03607064 and 3.5?\nAnswer: 3.46392936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - -64. Suppose 4*q + 1 = 5*q + 4*t, 5*t + m = 5*q. Suppose 0 = -2*g - o - 3*o + 12, -q*g = o - 39. Does 3 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/16 and 0 + -7 + (-10325)\/(-1530).\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, a: 1, e: 2, q: 3, x: 1, p: 3}. What is prob of picking 1 p, 1 i, 1 e, and 1 x?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 3*d = 12. Determine y so that -3 - 9*y**2 - 168*y - 164*y + 341*y + d*y**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 2. Let i be s(0). Suppose 5*v - i = 18. Let r = v - -30. Is r a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 252069?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -h - l - 9, 3*h - 4*l - 18 = 0. What is the remainder when 8 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16 - 7854c?\nAnswer: -78536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1324 and 16620172?\nAnswer: 1324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 113 - -36. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pyckykyynyykkpc. What is prob of picking 3 k and 1 n?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/((345\/(-460))\/(18\/32)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71745153*a**5 + 4*a**3*o**3 + 37511*a*o**3 - 2*a*o**2 - 1822*a wrt a.\nAnswer: -1434903060*a**3 + 24*a*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k - 11. Let a(h) = 2. Let y(l) = 2*l. Let o(t) = 3*a(t) - y(t). Give -5*o(g) - 3*z(g).\nAnswer: -2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 299 + -25. Suppose -j = -4*n - 3*z, z = n - 18 - 54. Does 24 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -438 + 441. Suppose -g - r = -5*r - 10561, -q*r = -2*g + 21147. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -765 (base 16) to base 4.\nAnswer: -131211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 13 - 11 = 0. Let t(h) be the second derivative of 0*h**2 + 3\/20*h**5 + 0 - 1\/6*h**s + 3*h + 0*h**3. What is the third derivative of t(a) wrt a?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*((-18)\/(-27))\/(2\/102). What is the highest common divisor of v and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4125294?\nAnswer: 2, 3, 31, 7393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 8 = 6*r. Let g = r + 0. Let z(l) = -5*l**3 - 3*l**2 - 2*l - 4. Let f(w) = 6*w**3 + 4*w**2 + 3*w + 5. Let a(y) = -4*f(y) - 5*z(y). Give a(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 4 - 4)*(-2 - k + 2 + (3*k + 0*k - 5*k)*(-1 + 1 - 1) - 2*k - k + 4*k + 2 + 6*k - 2).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**2\/5 + 2271688*g + 1612676990420 = 0. Calculate g.\nAnswer: -1419805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -98\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*p**4 - 2*p**3 + 308*p + 16939.\nAnswer: 12*p**3 - 6*p**2 + 308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211*s - 2 - 211*s - 46*s**2 + 102*s**2 + 153*s**2.\nAnswer: 209*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/11 (b) -3 (c) -0.1 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 0*w**3 + 31*w**2 + 16*w**3 - 31*w**2. Calculate c(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/7, -1\/7, 3\/2, -10, 4, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 7*t + 4120. What are the prime factors of t?\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0421 - -25.1421. Let q = -25 + w. Let h = -17 - -12. Is q greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-9))**40*z**(-2\/13)*z**(-25))**(1\/51) assuming z is positive.\nAnswer: z**(-4487\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2634\/17 + -155. Is n greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**4\/4 - 7351*h**3\/4 + 723449*h**2\/4 - 6136161*h\/4 + 491319 = 0. Calculate h.\nAnswer: 1\/3, 9, 93, 2348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 39.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -445569.5 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of d**2 - 2*d - 1. Suppose -3*q - 44 = 8*q. Let l(h) = -2*h + 1. Determine q*l(z) - 3*u(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*i = -80. Let d(t) = -43 + 23 + t + i. Let r(w) = 7248997 + 70*w**2 - 7248997. What is r(d(l))?\nAnswer: 70*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/6, 2\/87, 0.2, -0.06, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -163 + 164. Sort l, 5, 140.\nAnswer: l, 5, 140","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = -22*i + 269 + 150 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-42)*-1)\/((-2)\/3).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*1.7\nAnswer: 0.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30012 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -147358536 divided by -24?\nAnswer: 6139939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 83504462 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 - -22. Let p be 5\/k + 20\/6. Solve -y - 3*y + 5*j + 32 = 0, 0 = 5*y + p*j - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 115\/9 + -37\/2. Calculate the common denominator of m and -145\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36388826?\nAnswer: 2, 18194413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 - 1255*l - 1040250.\nAnswer: (l - 1825)*(l + 570)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 4*v = v + 58, 3*v + 9 = 5*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -464\/11 + 42. Let w(j) = j**3 + 12*j**2 + j + 8. Let g = -19 + 7. Let m be w(g). Which is the second smallest value? (a) -2\/3 (b) m (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -826 - -1164. Is 49 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 7739?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -29 - (-1 - (3 - -1))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 - 19 = 2*j. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 10 = 2*a - 2, 0 = -4*a + 5*g + 10. Suppose a*x = 3*x + 3, 3 = 3*t + 3*x. Solve -7*n = -u - 2*n - 9, t*n = 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 239928 divided by 887\nAnswer: 239928\/887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 3213*t + 3*t**3 - 7*t**4 - 3213*t - t**2 in the form z*t + k*t**2 + p*t**4 + u + d*t**3 and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 divided by 1?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -27756 divided by -54\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 35160456?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1157 - 30. Let i = -384 - p. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*t = 0. Let i be t*(0 + -1 + 2). What are the prime factors of (-9)\/9*(i - 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (11 - 5)*((-4)\/(-3) - 1). Suppose 0 = -g + 3*g + 5*j + 6, -s*j = 8. Find the second derivative of v + 20*v - 6*v + g*v**3 wrt v.\nAnswer: 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**3 - 2*x**3 - 4*x**3 + x**3 + 0 + 0 + (4*x**2 - 4*x**2 + x**2)*(-6*x - 17 + 17) + (2*x - 2*x + 3*x**2)*(3*x + 2*x - 3*x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222373 is divided by 22237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 + 1858b?\nAnswer: 1857b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 19 = -4*w - d, -d - 24 = -5*w. Suppose 2*f - a - 44 = -0*f, -110 = -5*f - w*a. Calculate the highest common divisor of f and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.904 + -1.8. Let f = 41.896 + t. Let h = f + -41.9961. What is h rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/8 - 326\/(-8).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 12 = -3*n - 2*j, 0 = n + 3*j + 4. Suppose 0 = -3*q - 2*q - 60. Let p be (q\/10)\/(n\/(-40)). Which is smaller: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*v**2 + v**2 + 21*v**3 - 2*v**2 + 3*v**2 wrt v?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 34537*c**2 - 38996 wrt c?\nAnswer: 69074*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*s + 3*s**2 + 0*s**2 + 3996047*s**3 - 3996051*s**3 to i*s + k + p*s**2 + j*s**3 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6*j - j + 5 = 0, 3*j = 0. Calculate the remainder when (220\/(-8))\/(f\/(-12)) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 307 divided by 62.\nAnswer: 307\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -26024282.6 rounded to the nearest one million?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -429*x - 84. Let l(v) = -257*v - 49. Calculate 7*c(h) - 12*l(h).\nAnswer: 81*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*((-123)\/15*5 - -15)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -220.9 and 0.11725.\nAnswer: -220.78275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**3 - 411*m + 411*m - 2*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1f (base 16) in base 10?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 0*p**2 + 2*p**2 - 3*p**2 + 1. Let a = -30 - -32. Give k(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 450\/(-2475)*(-198)\/(-12) + -24.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 82 - 86 = 0. Solve 8 = -k*n + 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2013671 + -3?\nAnswer: -2013674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1726781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*6*((sqrt(10)\/((sqrt(405) - (2*sqrt(405) + sqrt(405))) + sqrt(405)))**2 - (-6*(sqrt(2)*-2)**2 + -4)) + -1.\nAnswer: -42113\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3*w**2 - 91*w + 62 = 0.\nAnswer: -31, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -5*k + 18. Let h be v(3). Suppose -2*d - 4*j + 15 = -15, -h*d + 5*j - 10 = 0. Solve 29 = d*n + 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 56629320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(-99) + 442\/143. Let m(j) = 178*j + 4. Let r be m(-4). Is (2\/((-8)\/r))\/y a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -90, 7\/4, -0.4, -2\/11, 2\/17?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -5*k. Let y(o) be the third derivative of -o**5\/5 + 206*o**2. Calculate w(y(u)).\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 5*v = 12*x - 356, -4*x = v + 380. Let o be -2 - ((14 - 13) + x\/30). Which is the biggest value? (a) o (b) 0.31 (c) -3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 6 = 6. Let g(k) = -k**3 - 3*k**2 - 1 + 6 - 3*k**2. Give g(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g + 8. Suppose 98*n = 94*n + 904. Let d = 231 - n. What is l(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b = -3*t - 5*b + 3*b + 6*b - 23, -4*t + 1344 = t - 103*b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9}. What is prob of sequence jjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 5:31 PM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -221367\nAnswer: 110683.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*l + 932*l**2 - 25*l + 1208 + 21*l wrt l.\nAnswer: 1864*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 + -1110110001001011011110?\nAnswer: -1110110001001011010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxicxiolcxxcxclc. Give prob of sequence lli.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 27 + 12)*(-2*s + 4*s - s) + s + s + 2*s to the form k + h*s and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 10:10 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 45. Let y = 409 - 202. Suppose -y = -4*b + n. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67*o + 8*o + 74*o)*((3 - 5 + 5)*(o - 2*o - 2*o) + (3 + 0 - 4)*(-o + 0 + 0) + 3*o - 2 + 2).\nAnswer: -745*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -1933*v - 4. Let a be z(-5). Let u = a - 1756. Let f = -605 + u. What is f rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -236552 or 0.3?\nAnswer: -236552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -5.3. Let h = 679 - 683. Put c, -3, h in increasing order.\nAnswer: h, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-7)*4221\/2412.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 486 + 2076 = 7*g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 15. Let r be t(-8). Let j be ((-6)\/(-8))\/(r\/(-364)). Let g = 92 + j. Is 26 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 540.423.\nAnswer: -541.423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5051 - 3222. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 732 + -727. Solve p*c = -2*l + 27, 2*c = 85*l - 88*l + 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 126515?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, l: 1, w: 3, f: 1, a: 2}. Give prob of sequence flw.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1750 is divided by 140?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (6\/14)\/(990\/1260)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 - -33. Let c be 4\/(((-14)\/8)\/h). Let u = c + -12. Solve 0 = 2*i - u*i - 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -117, -30, -697 in descending order.\nAnswer: 0, -30, -117, -697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2849, 5 in increasing order.\nAnswer: -2849, -7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -10*t. Let w(d) be the third derivative of -11*d**7\/1260 - 56*d**5\/15 + 145*d**2. Let l(c) be the third derivative of w(c). What is l(j(g))?\nAnswer: 440*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 204*n + 3. Let g be b(2). Suppose -14*u + 17*u = g. What are the prime factors of u?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1243934 and 14852?\nAnswer: 116929796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k + 6*k**4 + k + (2*k - 2*k - k**3)*(4*k - k - 4*k))*(-39 + 76 - 54) + 2*k**4 - k**4 - 3*k**4 as l*k + i*k**3 + s*k**4 + g + z*k**2 and give s.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + v + 160 = 0. Let h = -86 - v. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 2649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -179794140 divided by -29669?\nAnswer: 6060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25509142 is divided by 1037?\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (133 - 305 - 122)*(-2*n**2 + n**2 + 3*n**2).\nAnswer: -588*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.1 (b) -4 (c) 7 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1090 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l + 4. Let o be q(6). Let x = -24 - -14. Let p be x\/35 - o\/7. Let m(g) = -g**2 - g + 1. Calculate m(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*q + 18. Suppose -2*y + 15 = y. Suppose -4*z = y*p - 10, -3*p + p = 3*z - 4. Sort p, -5, q.\nAnswer: -5, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2222156574.\nAnswer: 2, 3, 11, 1499, 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1010100101000?\nAnswer: 1010100101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 14*i - 422. What is b(-23)?\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 2*x**2 + 2*x**2)*(54*x**2 - x + 3 - 48*x**2 - 63*x**2).\nAnswer: -114*x**4 - 2*x**3 + 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 431562, -1, -2\/21, -1\/4, -0.03, -0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 159*o**2 + 13*o - 11. Is h(2) a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 12) in base 2?\nAnswer: -101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 606*h**2*n + 2*h**2 + 24 wrt n?\nAnswer: 606*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.049484 - -9.34955. Let p = q + -1.3. Round p to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9, h: 7}. Give prob of picking 3 y.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(475) - -2*(sqrt(475) + 1)) + 2 + 1*sqrt(475) - -4*-3*(sqrt(475) + -1))**2.\nAnswer: -6400*sqrt(19) + 153280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 176385?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.843857cm in micrometers?\nAnswer: 58438.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 - 143\/(-91).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190316294 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/20 - 36\/(-90).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/10 + 731\/(-255))*-2. Sort 1, s, -0.1.\nAnswer: -0.1, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**2 + 3*z**2 + 4*z**2)*(-z + z - z + (1 + 2 - 1)*(-5*z + 0*z + 4*z))*(-16 + 25 - 15 + 2*z**2).\nAnswer: -72*z**5 + 216*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*((y**(-2\/41)\/y)\/y)\/y*y*y*y**(1\/28))**44 assuming y is positive.\nAnswer: y**(-165\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (4 + -1 - 18)*-1 and 184\/12 + 2\/(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**2 + 0 + 0. Let s(b) be the first derivative of -7*b**2\/2 - 5625. Calculate s(n(c)).\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 930.98 rounded to the nearest ten?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -9*g**2 + 17. Let n(y) = -36*y**2 + 69. Let r(h) = -21*k(h) + 5*n(h). Differentiate r(z) with respect to z.\nAnswer: 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 18*h - 3. Let j be m(3). Let g be (16 - 12 - -4) + (-77)\/1. Let s = j + g. Is s at least -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10617.\nAnswer: 3, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1744.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -754*v + 0 - 711*v - 755*v + 0 + 2219*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-2)\/(4\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 8 + -8 - 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -k**4\/4 + 11*k**3\/3 - 27*k**2\/2 + 6813. What is f(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**5\/5 - z**4\/12 + z**2\/2 + 16*z. Let x(c) = -c**3 - 5*c**2 + 3*c + 16. Let p be x(-5). What is b(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(88) - sqrt(88)*-2*-1)\/(sqrt(8)*-1*2) - (-4*(sqrt(176) - -5*(-1 + sqrt(176))))**2).\nAnswer: -101775 + 7681*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, -1.4, -11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.981 take away 587.71432?\nAnswer: -585.73332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2071 and 12862.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 4. Let x = 6401\/5 + -1271. Let j = -9 + x. What is the nearest to 1 in n, 0.4, j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 530 - 53424?\nAnswer: -52564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + 1)**2 - sqrt(343) - (sqrt(112) + sqrt(7) + -2).\nAnswer: 2*sqrt(7) + 346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.28 (b) -3\/7 (c) 0.0814 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142 = 10*v + 68 + 70 for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 6*p**2 + 3*p + 5. Suppose 3*o - y = -o + 24, -2*o + 26 = -4*y. Let j be g(o). Let h(n) = -n + 2. What is h(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 298878 and 10054?\nAnswer: 914","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, 0.26, 3354?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2304 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 2 - (72\/8 - 9). Solve -4\/11*t - 2\/11*t**q + 0 = 0 for t.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46053*z**3 - 46049*z**3 - 46047*z**3 + 184219*z**3 - 46045*z**3.\nAnswer: 25*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 207801 at least as big as 207801?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 62 = -2*z - 5*x, -2*z + 12 = -4*x. Let f = -12 + z. Let a = -3 + -1. Which is bigger: f or a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 22*g - 23*g + 30, -2*g + 42 = -3*k. Let z(h) = -h + 1. Let u(m) = -24. What is g*z(y) + u(y)?\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -79*a - 706. What is p(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 5*j + 2*r + 2, -4*j = 4*r + 36. Let a = 6 + j. Suppose 3*m - 10 = a*m. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131518 is divided by 64.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-20))\/((-5)\/(-20)*-4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 5*c - 8. Let g be s(7). Let h be (10*1)\/2*((-306)\/17 + 20). Solve -16 = h*w - g*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/6210 and 101\/180?\nAnswer: 12420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126 and 237888?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*f**3 - f**2 + 7*f - 3*f**3 + f - 7*f as d*f + k + i*f**3 + p*f**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3916196 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: Which is smaller: 190 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 9*p**3 + 16*p**2 + 45*p - 4. Let k(j) = -7*j**3 - 12*j**2 - 45*j + 3. Give -4*k(r) - 3*l(r).\nAnswer: r**3 + 45*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*x**2 - 7 + 7)*((-x + 4*x - 2*x)*(4*x + 4*x - 7*x) + 76*x**2 + 63*x**2 + 35*x**2 + x**2).\nAnswer: -1408*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i. Let k(p) = -250002*p**2 - 3*p + 58. Give w(k(n)).\nAnswer: -500004*n**2 - 6*n + 116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -87, 3, -415\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knnkkknknnknkn. What is prob of sequence kkn?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1280 = -40*w + 20*w + 5*w + 265 for w.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wgwqxxgxgwwwwqwwwww. What is prob of sequence wgq?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 102648888*q**2 - 82923200 with respect to q.\nAnswer: 205297776*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 2, -194, 0, -5, 5, -4.\nAnswer: -194, -5, -4, 0, 2, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(11) - (2 + sqrt(11))) + -1*sqrt(11)*2)**2 - (((sqrt(33) - -6*sqrt(33)*-4) + sqrt(33) + sqrt(33) + sqrt(33))\/sqrt(3) + -5).\nAnswer: -12*sqrt(11) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - d + 135 = 0. Suppose -a - d = -4*a. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*b + b - 11858. Let k = 1197 - b. What are the prime factors of k?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32030948 and 8559?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523684 is divided by 16387?\nAnswer: 15687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*w = -42. What is the greatest common divisor of w and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 3*w + 236 - 212. Let z(t) = -4 - 6*t - 2*t + 3*t + 5 - 9*t**2. Let y(s) = -8*s**2 - 4*s + 1. Give w*z(o) - 5*y(o).\nAnswer: 4*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4139356*h*s**4 - 308*h*s**2 - 86906*h*s + s**4 wrt s?\nAnswer: 99344544*h*s + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/6 - 2\/4. Let m(u) = u**2 - 6*u - 131. Let r be m(15). Suppose -2*d - r = g, -o + 177 = 2*o + 3*d. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28693841653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/5)\/(z*z*z**(-1\/5)*z))**37)**(-33) assuming z is positive.\nAnswer: z**(19536\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 10244545 to the nearest 100000.\nAnswer: 10200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7435 times -4562?\nAnswer: 33918470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 80755056 to the power of 1\/2, to the nearest integer?\nAnswer: 8986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + x**2 + x + 129. Let a be m(0). Let n = a + -82. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*r**5 - 2379*r + 2*r**4 + 2229*r + 7*r**4 - r**5 wrt r.\nAnswer: -120*r**3 + 108*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**3)\/q**4)\/(q**(2\/3)\/q)**(1\/77))\/((q**(-1))**6*q**3*q**(-2\/3)) assuming q is positive.\nAnswer: q**(-538\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16683601 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-717)\/(-12) + (-2)\/(-8). Let z(n) = n**3 - 6*n**2 - 6*n + 2. Let d be z(6). Let u = y + d. Calculate the highest common factor of u and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*n - 28. Suppose n = y + 3*y. Calculate the remainder when y is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 n when three letters picked without replacement from otonooootootono?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -2 + 54. Let f = 23 - x. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 4. Let s(b) = -2*b**2 + 5. Let m(p) = -4*s(p) - 5*u(p). Let v(j) = -7*j**2 + 9*j**2 - 5*j**2. Give m(v(o)).\nAnswer: 27*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 472.7 - 472.1. What is the nearest to 1 in -31, -0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*j*p**3 - 4*j*p**2*u + 65*j*p*u**2 - 944*p**3*u**2 wrt j?\nAnswer: 2*p**3 - 4*p**2*u + 65*p*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b - 9*b + 30 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 60\/160 - 7\/8. Let p = 0.05 - -4.95. What is the closest to k in 0.4, p, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 2.43, 2\/5, -4\/5, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and -4 - ((-508)\/15 + 10\/(-75))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 5*z + 7, z - 22 = -z + 5*b for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 + 76. List the prime factors of c.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -d - 0, 2*d + 20 = 4*x. Let g(s) = 11*s - 9. Let k(j) = 56*j - 44. Let r(m) = 11*g(m) - 2*k(m). Let q(y) = -3*y + 4. What is x*r(a) + 11*q(a)?\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 - ((154\/(-12) - 0) + 7042\/(-42252)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*z - 172*z - 114 = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222 + 214 = -2*k. Suppose -k*v - 7*i + 11 = -6*i, -2*v + 4*i + 28 = 0. What is the remainder when 49 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8*1 - ((-323)\/19 + -5027)?\nAnswer: 2, 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p**2\/3 - 385733*p\/3 + 385732\/3 = 0. What is p?\nAnswer: 1, 385732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 37.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1330980056.\nAnswer: 2, 7, 29, 59, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4638282.\nAnswer: 2, 3, 11, 31, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 5:08 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 2)*(-6)\/8. Let u = 2431 - 36542\/15. Let n = u - -24\/5. What is the third smallest value in -0.3, v, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -446046 (base 7) to base 11\nAnswer: -5432a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -8.4232\nAnswer: -42.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/464 and -95\/44?\nAnswer: 5104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 7 = -2*d - 2, 0 = -4*d - 20. Let t be (6\/(-8))\/(p\/(-20)). Solve t*z - 6 = 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63 - 60. Let m(z) = -z**3 - z**2 + z + 1. Let c(b) = 10*b**2 - 8 + 15*b**2 - 8*b + 6*b**3 - 17*b**2. Calculate d*c(y) + 24*m(y).\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89890273.\nAnswer: 11, 19, 47, 9151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8, 65, 160, 293, 464, 673, 920?\n\"Answer: 19*x**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 4*i**3 + 1\/2*i**2 - i**7 - 1\/5*i**5 + 0*i**6 + 0*i**4 + 0*i + 49. Find the third derivative of v(w) wrt w.\nAnswer: -840*w**3 - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 26 (c) 2.3693 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (110\/(-429)*9\/5)\/(-3).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/380044 and -3\/28.\nAnswer: 380044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 10*a**2 - 13*a + 11. What are the prime factors of p(8)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 75 and 180?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**4 + 1246*d**3 - 172*d**2 - 9 wrt d.\nAnswer: -24*d + 7476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 273 - -5?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j*n**2 + 75*j*n - 7*j + 2*n**2 - 55 with respect to n.\nAnswer: -4*j*n + 75*j + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7336022261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30? (a) 1268 (b) 0.4 (c) 3\/7 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151683950.156 + 3.76.\nAnswer: -151683946.396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5759*h - 5763*h = -2*f + 126, 0 = -3*h + 31*f - 183 for h.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5866247?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3645)*-2)\/(-3*sqrt(36)).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-2)\/(-20)) + 0. Which is bigger: s or 9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 26*i**3 + 13*i**2 - 30*i - 5. What are the prime factors of v(6)?\nAnswer: 17, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -45856*g**2. Let l(x) = 4*x. Give l(v(n)).\nAnswer: -183424*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 12 = -4*p - 3*a, -3*p - a + 7 = 0. What is the third derivative of 21*x**p - 3*x**3 - 3*x**3 - x**3 - 2*x**3 wrt x?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1683)\/39270*(-2)\/(-3)\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4564, 2, 1 in descending order.\nAnswer: 2, 1, -4564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -56\/25? (a) -8 (b) 4 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -66.\nAnswer: -66, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 1)*(-4*u + 2*u + 3*u).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -l + 67, 2*v - 3*l = 11 + 26. Let a = v + -10. Suppose 0 = 2*y - 18 - a. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -372*x**5 - 354*x**3 - 1399411*x wrt x.\nAnswer: -7440*x**3 - 2124*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**3 + 51 - 5*t + t**3 + 3*t**2 - 40 - 11 as g + a*t + u*t**2 + p*t**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -128128611 divided by 105979?\nAnswer: -1209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2069 + 9375635.\nAnswer: 9375634.7931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 0.3, -1\/2.\nAnswer: -2, -1\/2, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 5*g = -37, -543*w + 538*w = -2*g - 10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/4)\/((r*r**(-5)*r)\/r))**(2\/47))**(-4\/19) assuming r is positive.\nAnswer: r**(-34\/893)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6, -62, -144, -246, -362, -486, -612?\n\"Answer: p**3 - 19*p**2 - 6*p + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jqqjqqjjqyjqjqjqqju. Give prob of picking 1 u, 2 q, and 1 y.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 807427337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 4*g + 4. Let i be d(3). Suppose 3*c - 24 = -2*b - 2*c, -c = -b + 19. Let r = b - 17. What is the second biggest value in r, 0.5, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -38493, -43174, -50973, -61890, -75925?\n\"Answer: -1559*n**2 - 4*n - 36930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 164.3643 minutes?\nAnswer: 0.114141875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1*(-268)\/(-112))\/(12\/(-16)) and 7\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-15)*(-1)\/36*30\/435*29.\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4794 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: Is 2657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 8*a - 4. What is u(5)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2871.\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*w + 4*l, -2*w - 4*l + 14 = 4. Suppose -2*h + w*h = 106. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -6*o + 2. Let i(k) = -k + 1. Give 4*i(s) - 2*t(s).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*f + 44 = 26*f. Let c = f + 29. Suppose 2*t - 4 = 2*o - 14, -2*t = 6. Solve o*y = c*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5708 - 0.4292. Put 5, 9, 2\/3, z, -4 in descending order.\nAnswer: 9, 5, 2\/3, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g = -10 - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*x + 3*z, 5*x + 4*z = -6 + 19. Suppose -5*h - 3*t + 0*t = 105, x*h + 110 = -2*t. Let j = 55 - h. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/(-50))\/((-2)\/(-8)). Which is the third biggest value? (a) j (b) -5 (c) 3\/8 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03215317 rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-80)\/(-24))\/((-2)\/(-15)). Let c(k) = 24*k - 4 - 46*k - d*k. What is the tens digit of c(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -28, 672 in descending order.\nAnswer: 672, -27, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -5)*1\/4*-2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91481 is divided by 22868.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(5\/11)\/r*r\/(r*r**31\/r)*(r*(r**(1\/15)\/r)\/r*r)**36 assuming r is positive.\nAnswer: r**(-1548\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4234*a + 271655 + 72687 = -117164 for a.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6 - (13 + 0) - -1799.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85704.\nAnswer: 2, 3, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 3*x - 44. Let r(n) = -n**2 + 7*n - 86. Give 3*r(p) - 5*u(p).\nAnswer: 2*p**2 + 6*p - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 217 = 2*d. Let c be (d - 3)\/(-2) + -1. Suppose -2*p + c + 57 = 0. Calculate the remainder when p is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = l. Suppose -l - 7 = -a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(2 - (-14)\/(-8)). Let m be ((-81)\/(-6))\/(-3)*-6. Put k, 5, m in ascending order.\nAnswer: k, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 542893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3496023 (base 11) to base 6\nAnswer: -334414323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 2:37 AM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r + 3*r - r + r**2 as y + d*r + h*r**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 278944?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8664 divided by -12\nAnswer: -722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/7 (b) 3 (c) -3\/5 (d) -756 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3060 - 2?\nAnswer: -3062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16235789?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 + 84 = 33*z. Solve -z = -3*c - c + d, 5*d = 4*c - 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 29*j**2 + 80*j - 650. Is b(58) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 4*c + 6*c)*(-2*c + 3*c - 2*c)*(7 - 16 + 4).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*x - 12, -6*x - 12 = -x - 3*n. Let j = -86 + 89. Suppose -y - f - 1 = 0, -2*y + 2*f = j*y - 30. Solve -2*r + y = x, -3*b = 2*b + r - 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of 13*q**5\/60 - 152*q**2 - 18*q. Let z(h) = 472*h. What is a(z(c))?\nAnswer: 2896192*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 717749017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -549 - -550. Solve -4*f = -y - 9, -3*f + 5*y + t = -5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -772*i**2 - 66*i - 17. Let j(w) = 193*w**2 + 16*w + 4. Determine 17*j(v) + 4*l(v).\nAnswer: 193*v**2 + 8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -249*v**2*z**3 + 3*v**2*z - 3*v**2 + v*z + 7706*v - z**3 + 6714*z**2 - 64 wrt z.\nAnswer: -1494*v**2*z - 6*z + 13428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from yyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*o + 988458 + 137552 = -316015. List the prime factors of o.\nAnswer: 3, 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*b = -380, r - 5*b - 65 = -2*b. Suppose 0*h + 5*h - r = 0. Calculate the lowest common multiple of 20*1 + (-6)\/(-3) and h.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -i**3\/3 + i**2 + i. Let q(b) = 64*b + 639. Let k be q(-10). Let z be d(k). Solve v + 10 = z*v - r, -v = 2*r - 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*-1*265\/(-7155)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**4\/2 + 27013*w**3\/2 - 892203*w**2\/2 + 8518815*w\/2 - 9128025 = 0 for w.\nAnswer: -27046, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0203779 to four dps.\nAnswer: 0.0204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 3. Let q = 11 + j. Let n = 1.6 + -1.6. Are q and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 10:13 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*k**2 - 174*k**2 - 141*k**2 + 595*k**2 - 140*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**8*i*i*i**(2\/33)\/i assuming i is positive.\nAnswer: i**(299\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvexwzs. Give prob of picking 1 w and 1 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*y + 14 - 43*y + 10*y.\nAnswer: -53*y + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from lmmvvvmmmlvm.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 21 = 2*t. Suppose -t - 5 = -4*c. What is the units digit of ((-92)\/8)\/(c\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + t = 14. Calculate the highest common divisor of 14 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -931145*-13.\nAnswer: 12104885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 4*d - t, -15287*d - 86*t = -15285*d + 168 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 456866 to the nearest integer?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*l + 20. Let p = 8 + -6. Suppose -3*u = 4*z, p*u + 2*z + 2 = -0. Sort l, u, -1.\nAnswer: u, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146, -300, -466, -650, -858, -1096?\nAnswer: -1370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phjmb. Give prob of picking 1 b and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**8*p\/(p\/(p*p**(-2\/45)))*(p**5)**(-2\/9))**(-42) assuming p is positive.\nAnswer: p**(-4942\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -9.6. Let k = 0.4 + w. Let b = k - 4.996. What is b rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 8120*a + 7129354. Calculate n(-878).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-27))**(-12)\/(q**1\/q*q**(2\/57)*q) assuming q is positive.\nAnswer: q**(18409\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z - 2. Let v(w) = -w. Suppose 0 = -y + 6*y - n + 3, -3*y + 5 = -4*n. Let p(b) = 19*b + 507. Let q be p(-27). Calculate q*v(h) + y*t(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*c, 8*v = 6*v + c + 10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1158789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35127 - -35121. Let h = 0.05 + -2.05. Which is the nearest to 1\/4? (a) q (b) 0.4 (c) -0.2 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 2397051772783\nAnswer: 2397051772778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -q**6\/480 - q**5\/120 + q**4\/24 + q**3\/3 - 7*q**2\/2 + 9. Let b(n) be the second derivative of s(n). Factor b(x).\nAnswer: -(x - 2)*(x + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65*r**2 - 383*r**2 - 65*r**2)*(0*r + r - 2*r).\nAnswer: 383*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 1:45 PM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2. Let o be (6\/(-9))\/(2\/(-6)). Suppose o*x - 10 - 12 = 0. Let d(t) = -x*t**2 + 7*t**2 + 0*t**2. What is r(d(c))?\nAnswer: -16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60271 is divided by 30103?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 82326827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.7 (b) 2\/3 (c) -71 (d) 2\/113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 24, 3, 0, 2, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r + 25*r**3 - 10*r - 8*r + 18*r.\nAnswer: 25*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -0.1, 5, 1.\nAnswer: -20, -0.1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -110*w**2 + 543*w + 252. What is i(5)?\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n**3 + 3*n**2 + 15*n - 57. Calculate the smallest common multiple of 900 and w(3).\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -288240 + 141240. What is c rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1273 * -5\nAnswer: 6365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 52629 (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.46644031*0.1\nAnswer: 0.046644031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 + 10*k - 8. Let m be n(-6). Calculate the remainder when 62 is divided by 18 - (m - 7 - 1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -168.619 - 0.381. Let l = u + 163. Which is the second biggest value? (a) -1.1 (b) l (c) -2\/3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 - 3. Let x be f(-2). Suppose -2*q + x*q = 0. Suppose 0 = -2*s - 5*g - q + 132, 3*s = 5*g + 223. List the prime factors of s.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130322 (base 5) in base 3?\nAnswer: -20222102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-nine halves of a litre in millilitres?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -15*o - 15. Let t(s) = -9*s - 3. Let q be t(-1). Let c(p) = 8*p + 8. Calculate q*v(w) + 11*c(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - 5. Let f = g - -25. What is the second derivative of -2*r**3 + f*r**3 - 3*r + 2*r wrt r?\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2188895979?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68*z**3 - z**4 - 10*z - 1 - 54*z**3 - 9*z**3 + 3*z**2 to the form f*z + a*z**4 + c*z**3 + b + p*z**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**2 - 2*i - 9. Let y(q) = 2*q**2 + 3*q + 10. Let j be (132\/264)\/(1\/(-10)). Give j*m(o) - 4*y(o).\nAnswer: 2*o**2 - 2*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-427 + 252 + 262)*(2*f + 0*f + 0*f).\nAnswer: 174*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5*y = 86, 0 = -r + y + 23 + 13. Let w = 62663\/80 + -3903\/5. Find the common denominator of r\/(-3)*(-4 - -2)\/6 and w.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - 0.3. What is the smallest value in -4, -2\/9, o, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s**2 + 6*s**2 + 5*s**2 + (1 + 25 - 634*s - 24)*(0*s - s - s) to the form r*s + m*s**2 + y and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -260597, -262337, -265237, -269297?\n\"Answer: -580*c**2 - 260017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - z - 80 - 29, 5*p - 134 = -z. Calculate the remainder when 240 is divided by p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -0.18 (c) 0.14 (d) 0.2 (e) 0.5 (f) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + -20. Sort 1, 0, a, -5 in decreasing order.\nAnswer: a, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 61 in -5\/3, -825, -0.4, 60, 1?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(272) + sqrt(272) + -1*sqrt(272) + sqrt(272))*1 + 0 + sqrt(272) + 4 + 0))**2.\nAnswer: 1536*sqrt(17) + 39424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q**2. Let w(y) be the third derivative of y**5\/20 - 7*y**2. Calculate w(k(a)).\nAnswer: 48*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -20*(3 + 31\/(-5)). Suppose 3*m = -2*w + 203, -2*m - 4*w + 152 = 22. Suppose m*i - 50 = n*i. What is the greatest common factor of 5 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.0866 rounded to 1 decimal place?\nAnswer: 14.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15 + 2\/2 + -1. Suppose 5*l - 3*k - 2*k = h, -36 = -5*l - 2*k. Let f be 299\/9867 + 112\/(-66) - (-22)\/6. Solve f*a - v - v = 4, 3*v = -3*a + l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-104)\/(-28) + (-4)\/(-14). Let g(v) = 0*v - 2 - v - 2 + 2*v. Determine g(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 586\/3, -3\/4, 2, 4, 0 in decreasing order.\nAnswer: 586\/3, 4, 2, 0, -0.2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - e60fe6?\nAnswer: -e60fe5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 80 - 45*n**3 - 40*n**2 + 12*n**3 + 43*n + 32*n**3. Let i be g(-41). Put i, -1, 2, 1 in increasing order.\nAnswer: i, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 72, -0.6, -3.\nAnswer: -3, -0.6, -2\/9, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (22 - 15) + -3 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3246645 less than or equal to 11\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -1, -3*g - 3*y + 6*y + 960 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1805*y**2\/2 - 395313715*y + 86577802364045\/2.\nAnswer: 5*(19*y - 4161197)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -6\/799?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 - 21. Calculate the greatest common divisor of q and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 26 in increasing order.\nAnswer: -2, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i*i\/i**12*i*i)\/(i\/(i\/(i*i\/(i*((i*i**2*i)\/i)\/i)*i))))**(-1\/3))**(-1\/80) assuming i is positive.\nAnswer: i**(-1\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**2\/5 + 744*i\/5 + 22374\/5 = 0.\nAnswer: -339, -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 41585 + 806667 = 2*r, 0 = 4*l - 8. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3404*u + 4464*u - 933*u**2 + 935*u**2 + 2 to y*u + m*u**2 + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-208)\/100)\/(-13))\/((-21)\/((-1575)\/(-570)))?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 - -4)\/((-1)\/12). Suppose -4*j = -0*j - p. What is the second derivative of -w**j - w - 10*w**3 + 2*w wrt w?\nAnswer: -66*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-4*sqrt(110) + sqrt(110))*4*1)\/(((sqrt(1440)*3*-4 + sqrt(1440) - sqrt(1440)) + sqrt(1440))*5).\nAnswer: sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -107565.1396 at most -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 28. Suppose 5*x = -5*b - 5, -h*x + 2 = -b - 17. Solve 4*c - 28 = 4*u, -x*c = -c - u - 10 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*z**2\/11 - 86*z\/11 + 24\/11.\nAnswer: 2*(z - 3)*(13*z - 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3\/7 + 195*t**2\/7 + 567*t + 24057\/7.\nAnswer: 3*(t + 11)*(t + 27)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 15269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73003408.\nAnswer: 2, 47, 193, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 2 = c - u, -5*c = u - 16 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.104932615 + 757.\nAnswer: 750.895067385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 73927681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/4908 and (101\/(-39))\/(2208\/(-4784)).\nAnswer: 14724","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o + 1918 = 6395. What is the greatest common divisor of o and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 41 - 51?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**4 - 5*p**3 - 5*p**2 + 5*p = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -39632379*j**3*r**2 - r**2 + 190492834*r wrt j.\nAnswer: -118897137*j**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/21)\/4)\/(5\/(-45)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 2*o = -124, 646*i - 644*i - o - 42 = -4*o for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.05 + -2.45. What is the closest to -2\/17 in 2\/5, g, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4796715, -4796821, -4796927, -4797033?\n\"Answer: -106*w - 4796609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 6*o**2 - 11*o + 1. Let h(m) = -2*m - 18. Let b be h(-5). Calculate w(b).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -420 + 428. List the prime factors of m\/28 + ((-38292)\/(-42))\/1.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -7*y**2 + 1. Suppose 5*n - 1 = -4*x + 3, -5*x - 12 = 2*n. Suppose 5*b = n*r - 1, 0 = 3*b - 4*r + 3 + 4. Let j = b - 4. What is c(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -2*f**5\/5 - f**3\/6 - 33*f**2\/2 + 5*f - 2. Differentiate i(x) with respect to x.\nAnswer: -24*x**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/18)\/(2\/(-15)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 18*f - 6. Determine c(13).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29.4 - 20.3. Let p = -9 + j. Suppose z = 3*z + 10. Which is the second biggest value? (a) z (b) p (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 + 1614*o - 1114280.\nAnswer: 2*(o - 445)*(o + 1252)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 121\/4 in 3, -1\/6, -4\/7, -1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4870 (base 11) to base 8\nAnswer: -14341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4480 divided by 16\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 40 (b) -0.2 (c) 3 (d) -1\/760\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 3*l**2 - 4*l - 3. Let o be u(-2). Let h be (-1 - (-2 + o))\/(-1). Which is greater: h or -1\/14?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 47\/6 in 4, -1.3, 31.96, 2\/11, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -38514*d. Let y(q) = 31*q. Give c(y(a)).\nAnswer: -1193934*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**4*r - 86*c**3*n*r - 3*c**2*n + 2*c*n*r + c + 270*n - 2*r wrt c?\nAnswer: -24*c**2*r - 516*c*n*r - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 189*t**4 - 96*t**4 - 5*t - 8*t**2 + 12 - 92*t**4 - t in the form g + u*t**3 + z*t + s*t**2 + w*t**4 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**2 - 228540*d = 0. Calculate d.\nAnswer: 0, 57135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -280316\nAnswer: -1121264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 11 - 61. Suppose -7*v + z = -4*v. What is the highest common factor of 48 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 > -2513?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**4 + 4*l**4 + l**4)*(0 - l - 1 + 0).\nAnswer: -2*l**5 - 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**2 + w - 2. What is the tens digit of z(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26680054?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/11077 and 41\/11707382.\nAnswer: 128781202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 380 and 13490?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1)*i**6*i*(i**(1\/3))**(2\/33)*(i**(-1\/2)*i)**(11\/5)\/((i*i*i\/i**(-3\/10))\/((i*i**(-5\/4))\/i)) assuming i is positive.\nAnswer: i**(5089\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) -58 (b) -2 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 241147*q**2. Let n(s) = -s**2. Determine n(z(p)).\nAnswer: -58151875609*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n + 41*n**3 - n - 42*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 2*u - 20. Solve -b = 2*k + 4 - 6, -u*k - b = -8 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 1) + (21 - 20)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9905757 to the nearest integer?\nAnswer: 3147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 16*d**2 - 7*d - 1. Let a(u) = 2*u - 4*u**2 - 2*u**2 + 7*u**2 - 3*u. Let s(k) = -6*a(k) + i(k). What is the tens digit of s(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/2765 and -117\/3210718.\nAnswer: 16053590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -6717*u**4\/4 + 4509*u**2\/2 + 1262. Find the second derivative of o(k) wrt k.\nAnswer: -40302*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16236541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/2383252 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42646*o**2 - 19973*o**2 - 20561*o**2.\nAnswer: 2112*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 113, 204, 333, 512, 753, 1068, 1469?\nAnswer: 1968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -21*y**3 - 2*y - 1. Suppose 0 = 3*l + 9, -3*p + 7*l - 11*l - 15 = 0. Give t(p).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1228 - -2831. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229\/7 + (-2)\/(-7).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/2728 and 19\/4092.\nAnswer: 8184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 3*y**2 - 2*y - 4. Let a be q(4). Let r(k) = -k**3 - 11*k**2 - 31*k - 21. Let m be r(-7). Which is bigger: m or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + 0 + 1)*3 + (1*sqrt(5) + -4)*5 + 4 + -1)**2.\nAnswer: -224*sqrt(5) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 291 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*z + 34*z. Solve z = -36*d + 35*d - 2 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 164401 and 5669?\nAnswer: 164401","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d - 2. Let a(p) = 232*p**2 + 29*p - 3. Let j(o) = -a(o) + 7*n(o). Find the second derivative of j(i) wrt i.\nAnswer: -464","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.1251865*-3\nAnswer: 0.3755595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/47366 - 828991\/4073476. Let j = -2\/43 + y. Which is the nearest to j? (a) 14 (b) -5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12225 and -64.3.\nAnswer: 786067.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-2 - 3)) + 0 + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/5)\/(y*y\/y**7))\/(y**(-5)*y)**4)**(-36) assuming y is positive.\nAnswer: y**(-3852\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/32 of a milligram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/25245 and -77\/177945.\nAnswer: 299481435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/(-117) - (-20)\/39. Suppose c - 1 - 4 = 0. What is the second smallest value in c, 1, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**4*y + a**4 - 2*a**3*b - 2*a**3*y - a**2*b - 32*y wrt a?\nAnswer: -24*a*y + 24*a - 12*b - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, u: 4, z: 4}. Give prob of picking 2 u.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15665 is divided by 184.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306802 is divided by 148?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 e when two letters picked without replacement from eyreieaee.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 421832771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -181, -187, -197, -211, -229?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -295, -295, -293, -289, -283, -275?\n\"Answer: p**2 - 3*p - 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -b**4\/4 - b**3\/3 - b**2\/2 + 29. Suppose 108*t = 113*t - 10. Let f(i) = -2*i**2 - 2*i + 1. What is t*u(y) - f(y)?\nAnswer: -2*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 130*d - 3786. Is 28 a factor of y(52)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 44, 33, 16, -7?\n\"Answer: -3*n**2 - 2*n + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 258424186?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 455356 and 5.\nAnswer: 2276780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 929110.5 seconds in minutes?\nAnswer: 15485.175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v + 1. Let b(r) = -2*r**2 + r - 2. Suppose -5*d + d + 29 = -5*q, 0 = -2*d + 2*q + 12. What is d*n(g) + b(g)?\nAnswer: -2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*((sqrt(294) - sqrt(294)*1)\/sqrt(7))\/(sqrt(24)\/(sqrt(196) - sqrt(4))))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-111)\/(-74))\/(5\/170). Suppose 4*r + 157 = 3*p, p = -5*r - p - 202. Let u = r + k. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9004\/5489 + 2\/499. Calculate the common denominator of o and (-90)\/(-56)*78\/65.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -107? (a) 2\/17 (b) 24777 (c) 3 (d) -0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -0*r + 2*r. Suppose 0*v + 36 = 2*v. Suppose v = 3*w + 2*p, -2*w = 2*w - 5*p - 47. What is the remainder when r is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3761*b**3 - 809*b**2 + 11*b + 11. Let x(p) = -9*p**2 + p + 1. Let o(i) = 4*d(i) - 44*x(i). What is the third derivative of o(c) wrt c?\nAnswer: 90264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 1017*x**2 + 70*x - 13. What is the units digit of d(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5618587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -74389, 17 in descending order.\nAnswer: 17, 3, -74389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6918*r**2*x**3 + 8*r**2*x**2 + 131066*x**3 with respect to r.\nAnswer: -13836*r*x**3 + 16*r*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - h - 93 = -2*s, -2 = 2*h. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -610 and -25.\nAnswer: 15250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -11\/3*c**3 - 3 - c + 0*c**2. What is y(1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 2*m + l, 0*l + l + 98 = 4*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 22258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (5\/10 - 6\/8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmi when three letters picked without replacement from {h: 3, l: 2, m: 3, w: 2, i: 3}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 46, 71, 94, 115, 134, 151?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 11*u**3 - 3029*u**2 + 1097*u + 173. What is b(275)?\nAnswer: -652","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-5))\/(-3) - (-31)\/(-35)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 26*m**2 + m. Let l(j) = 429*j**2 - 3*j. Calculate 9*l(o) + 27*t(o).\nAnswer: 4563*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 87811 times -0.5\nAnswer: -43905.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0084279563 to five decimal places.\nAnswer: -0.00843","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t**2 - 183*t - 3254. Determine q(-16).\nAnswer: 698","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 398, 398, 400, 404, 410, 418?\nAnswer: 428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 220\/24*40282402\/(-600). Let f = -615426 - o. Let d = f + 1\/72. Which is the nearest to -1? (a) d (b) -0.1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 371103 to the nearest integer?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2357\/9 - -258. Calculate the common denominator of p and 75\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of 0*j**2 + 0*j**3 - 3\/20*j**5 - 36 - 29\/6*j**4 + j. What is the third derivative of b(r) wrt r?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -194 - -196. Suppose -2*l + 34 = a*o, 5*o = -4*l + 2*l + 82. Solve -5*g + 8 = -5*d - 7, 4*g = 2*d + o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**3 - 24*x**2 + 20*x + 48 = 0.\nAnswer: -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -6755845.7 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223175 + 223175 - 2*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-5))\/(2\/10)*1. Solve 2*i + p*i - 4 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0) + (19 - 38) + 35.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1324 + -1322. Factor 2\/3*f + 4\/3*f**i - 2\/3*f**3 - 4\/3.\nAnswer: -2*(f - 2)*(f - 1)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*k + 76 + 262 = 0 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16.3 - -16. Let q(w) = -w**2 + 5. Let h be q(-6). Let g = 277\/9 + h. Which is the third smallest value? (a) z (b) g (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 65620*i**2 - 2*i - 1. Let o be 1 - (-5 - -3)\/(-1). Let s be h(o). Suppose -5*r - 504379 = s. Round r to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -2. Let o(b) = -2*b. Let c be o(v). Suppose 0 = -w - t + 65, -5*w + 2*t + 230 = -88. Calculate the greatest common factor of c and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10 (b) 624\/85 (c) 7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i + 285*i**2 - 493*i**2 - 3*i.\nAnswer: -208*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200111122 + 20121011?\nAnswer: 221002210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 + 3*f**3 - 2*f**3)*((1 - 2 + 0)*(-f**2 + 3*f**2 - 3*f**2) - 683*f - 165*f**2 + 683*f).\nAnswer: 328*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 405*s + 190. Let n(a) = -6 - 15*a + 3 + 3 - 7. Let i(j) = 2*h(j) + 55*n(j). Is i(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/217294335 and 151\/150?\nAnswer: 2172943350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -79.6 from -62.\nAnswer: 17.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 194 divided by -14\nAnswer: -97\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3710185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1 - 4)\/(10\/(-330)) is divided by 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77288?\nAnswer: 2, 9661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127066265?\nAnswer: 5, 25413253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*v - 1 - 10*v**3 - 9*v + v**2 - v to the form s*v**3 + f*v + j*v**2 + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, t: 4, y: 3, d: 1, w: 2}. What is prob of sequence tdt?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 239, 642, 1281, 2198, 3435?\nAnswer: 5034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 118148.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 4. Suppose -3*q + 32 = -4*s + q, -4*s = 2*q + 38. Let n = p - s. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -8*l**3 - 3*l**2 - l - 1. Suppose -2*m = -4*m + p - 5, -11 = 3*m - 5*p. Is w(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124 and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352 = 6*r - 94*r. Solve -8\/3 + 4*v**3 + 4\/3*v**4 + 4\/3*v**2 - r*v = 0 for v.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2684\/488*(-20)\/(-22).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350416206 a multiple of 747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.883 + 0.317. Let a = n - 17.7. What is the biggest value in -35, a, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 14) to base 3\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w - 3*w = 30. Solve 4 = -w*g - 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0) + (-11 - -10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5 = -g - 0, 4*g + 5 = -3*c. Solve -4*o - 2*h - 3*h = 3, -c*h - 21 = -2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 + -306?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/(-20))\/((-101)\/404))\/(2\/26).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/96*4\/(-3).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(4\/6 + 138\/(-72)). Let t(j) = -2*j - j**2 + 6 + 0*j - 1 - 4*j. Calculate t(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of -13 - (-13662)\/(48 + -25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -h**4\/12 - h**3 + 5*h**2\/2 - 2*h. Let d be w(-7). Does 4 divide 8 + -2*1 - d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7941630, 15883222, 23824814?\n\"Answer: 7941592*h + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*t**2 - 2*t**2 + 0*t**2 - 15*t**4 - 2*t**2 wrt t?\nAnswer: -360*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 244 - 226. Calculate the smallest common multiple of 66 and s.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 418*u + 1302 = 325*u for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-222)\/259*(-14)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 (base 16) in base 5?\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000084520204 rounded to 7 dps?\nAnswer: 0.0000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10198284517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -288595326, -577190651, -865785976, -1154381301?\n\"Answer: -288595325*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**2 - 40*y**2 + y**2 to the form u*y**2 + p + s*y and give u.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j = 4*j + 774. Find the third derivative of -29*v**2 + 94*v**2 - 52*v**2 + 256*v**5 + j*v**2 + 51*v**2 wrt v.\nAnswer: 15360*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2\/7 (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49423160*r + 49423178*r - 98846338*r + 6*r**3.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -73, -133, -191, -247, -301, -353?\nAnswer: -403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g**3 + 1 - 6171*g**2 + 2*g**3 - 6166*g**2 + 12337*g**2.\nAnswer: -3*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41 - (38 - -37)) + 34 - 62?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -468 (base 10) in base 7?\nAnswer: -1236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2885232, -2885228, -2885222, -2885214, -2885204?\nAnswer: -2885192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 206 = 224. Solve -p*c - 3*v = -0*v + 6, c + 2*v + 1 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37931, 75751, 113569, 151385, 189199?\nAnswer: 227011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-4))**(-7))**(-38)\/((k**(-1\/7)*k)\/k**2*(k*k**(1\/4)\/k)**(-4)) assuming k is positive.\nAnswer: k**(-7433\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -218*g**2 - 31646*g - 5228. What is y(-145)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 + 2*n**2 - 4*n + 4*n - 1)*(n**2 - n + n).\nAnswer: -2*n**5 + 2*n**4 - n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**4 + 5*v**3 + 2*v**4 - 4*v**3)*(-3 + 3 + 2).\nAnswer: -4*v**4 + 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 75298 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 + m**2 - 5*m**2)*(-460*m - 803*m + 362*m).\nAnswer: 901*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -981710813?\nAnswer: -981710812.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w = -616 + 714 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 127776813?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 2 - 2)*(1 - 1 + 1) + 5 - 2*k - 5.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 4300591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 573448\/1577 or 365?\nAnswer: 365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 838 - 346 = 2*l. What is the smallest common multiple of l and 164?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z + 328 = 14*z. Let v = z - -86. Let b = 14.16 - 14. What is the third biggest value in -1\/2, v, b?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 0.25 (c) -35540 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -111787292*a**3*g**2*j**3 + 296*a**3*g*j + 78*a**2*g**2*j - 2786*g**2 wrt j?\nAnswer: -670723752*a**3*g**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + f - 1. Let s(g) = -13*g**2 - 14*g - 12. Let j(q) = l(q) + s(q). Let r be j(14). What is the third smallest value in -4, r, -1\/4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*-10*(-13)\/(-1040)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68197 = 3701*r - 176661 + 22798 for r.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 f when two letters picked without replacement from {n: 1, l: 1, m: 9, s: 5, f: 1}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -5 - 5. Let k = 82 - 86. Sort 5, q, k in decreasing order.\nAnswer: 5, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 1419 = -1470, 0 = 5*d - 9*l - 143 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/5, 2924, 2.5 in increasing order.\nAnswer: 11\/5, 2.5, 2924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -g**5\/60 - g**4\/24 + 2*g**3\/3 - g. Let f(k) be the second derivative of s(k). What are the prime factors of f(-11)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1619 divided by 268.\nAnswer: -1619\/268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2355.68 minus -5897375?\nAnswer: 5895019.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16770*u**2 + 11307*u wrt u?\nAnswer: -33540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 1:12 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(9 - 2 - 2)*(-3*z + 4*z - 3*z).\nAnswer: -20*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*f - 13 = 41 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (-6)\/4 - 0. Suppose 0 = -4*d + 1 + 3. Suppose y - 3 = -d. Which is smaller: y or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -142 + -4?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 5*x + 3460, -x = -0*x + 4*l + 692. Let m = x + 1566. What are the prime factors of m?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1378, -3793, -7202, -11563, -16834, -22973, -29938?\nAnswer: -37687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-15)*i))\/i**(2\/43)*(i**(-1\/12)\/i)**(5\/8) assuming i is positive.\nAnswer: i**(58933\/4128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -339822 divided by 2?\nAnswer: -169911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 3 - (-133 + 135)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/10)\/(20\/50).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -7*i**6\/2 - 57*i**5\/5 - 3*i**4\/4 + 23*i**3 + 12*i**2 - 12*i + 5. Solve c(r) = 0 for r.\nAnswer: -2, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60 + -60. Let l = -0.06 + -4.94. Let r = 0 - l. Sort -2, r, d.\nAnswer: -2, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 122 - -14. Suppose a = 2*z - 52. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 640526*c**2 + 7257 - 640530*c**2 - 7257.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 32326.9ms?\nAnswer: 32326900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 263 (b) -2\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21450, 21417, 21364, 21291, 21198, 21085, 20952?\nAnswer: 20799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of s**2\/2 + 2. Let x(v) be the third derivative of -v**5\/30 + 3*v**2. What is x(c(b))?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 12:41 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-49)\/35)\/7*30\/(-8)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 171, -0.4, -5 in descending order.\nAnswer: 171, 1\/4, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f + f**3 + 2*f + (21 + 14 - 58)*(19*f**3 + 13*f**3 - 4*f**3) in the form x*f**3 + t + v*f + w*f**2 and give x.\nAnswer: -643","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -309488 rounded to the nearest ten thousand?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from yhdtttyyyh?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14409\/32 - -80817\/32. Let l = -58221\/28 + a. What is the common denominator of 81\/20 and l?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (14\/(-2) + 2). Suppose -y*d = -31 - 1. Suppose d*g = 13*g. Solve 2*i - 3*i = g for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.814 - 8.414. What is the fifth biggest value in 1\/9, u, -1\/4, -4\/3, 1\/86?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -5. Let a = -1 - -5. Let f(p) = p - y*p + a*p. Let z(u) = -u**2. What is f(z(b))?\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325*p + 165*p + 155*p = 130 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*v - 7*v = -23*v - 37206. What is the thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + f**2 + 2. Let o be m(0). Let c(p) = 1 + 0 - 3*p + 11*p - p**3 + 6*p**o - 3. Let x be c(7). Solve 2*u + 8 = 5*i, -4*i - i + 20 = -x*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 172.64 + -173.14. Sort f, 4, 1\/147, -3 in decreasing order.\nAnswer: 4, 1\/147, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1069 divide 6734700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -1635*n - 45738. Give u(-28).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/103659 and -103\/12012.\nAnswer: 415050636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4145734?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 115, 136, 139, 118, 67?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4966522, -4966523, -4966524, -4966525, -4966526, -4966527?\nAnswer: -4966528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*f - 167*f = 778*f - 66207 for f.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1046985.\nAnswer: 3, 5, 223, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319633 is divided by 78?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 9*g**2 - 7*g - 4. What is a(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -11, 1, -4, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(2\/(-6) - -1). Let j = 8 + i. Suppose -28 - 2 = -j*f. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j - 13*j + 8 = -4*d, 0 = -5*j + d + 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 11:15 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59774 and 1210.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -2, -2*o + 16 = 94353*n - 94346*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 36 = 4*h, 7*m = 2*m - 20. Suppose s + 4*s = h*z - 435, -3*s + 130 = z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 288*h**3 + 2*h**2 + 28*h + 1858. Let l(a) = 572*a**3 + 3*a**2 + 48*a + 3715. Let i(j) = 3*l(j) - 5*t(j). Find the first derivative of i(o) wrt o.\nAnswer: 828*o**2 - 2*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63576113 - 101933113. What is f rounded to the nearest one million?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-6)\/9)\/((-10)\/135)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -310?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 276 = -2*i. Let b = 163 + i. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**5\/20 - 4767*t**2. Let j(k) = -68*k - 2. Give j(v(z)).\nAnswer: 204*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 75 = -m - 88, 5*m - 4*l = 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (2 + 16 - (5 - -7)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 828888259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1712 + 3341*k**2 - 1224*k**2 - 1713.\nAnswer: 2117*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(1 + (-9)\/(-6)). Let y = -3 - -2.8. What is the closest to -2 in 2, h, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*h**5*x**3 - 77*h**3*x**3 + 2769*h*x**2 + 3*x**3 wrt h?\nAnswer: -120*h**3*x**3 - 462*h*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c**3 + 8*c**2 + 7. Let o(t) = 3*t**3 - 7*t**2 - 6. What is 5*o(z) + 4*x(z)?\nAnswer: -z**3 - 3*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -324 - -326. Factor -2\/3*v**j + 1\/3 + 0*v**3 + 0*v + 1\/3*v**4.\nAnswer: (v - 1)**2*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4 + 66 = 2*i, 4*i - b = 152. Calculate the remainder when 56 is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*r + 16956 = 832*r for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 14699 = 4*s - 14650, 0*s - s - 73 = -8*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 9:06 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -3*w**5\/2 - 435*w**4\/2 - 18009*w**3\/2 - 164361*w**2\/2 - 278988*w - 323208 = 0.\nAnswer: -67, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 84\/9)*-3. Suppose 27 = 5*y - n. Is y a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -28453, -20334, -12215?\n\"Answer: 8119*p - 36572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*5.22.\nAnswer: -2.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4045 + 4049. Solve q + 13 = -0*q + m*a, -q + a = 7 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1726.\nAnswer: 2, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*b*r**2*z + 1672*b*r**2 - 17*b*r*z wrt z.\nAnswer: 4*b*r**2 - 17*b*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*r + 16, 0 = -5*r - 0*r + 2*f + 17. Suppose 0 = r*g - 7304 - 811. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*g - 11460 + 12633 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -47*z + 10*z + 25*z + 1 - 22. Calculate the lowest common multiple of 15 and q(-5).\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 146*p + 221. Let y be q(4). Which is greater: 806 or y?\nAnswer: 806","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q + 2. Let p(w) = w**2 + 25*w - 50. Let d be p(-27). Suppose -2*f = -5*f - d*x - 19, f - 5*x = 0. Determine y(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -126 - -0.0388.\nAnswer: -125.9612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -22101011 (base 3) in base 10?\nAnswer: -6106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 139.7 - 139.4. Which is the nearest to -1? (a) p (b) 0.03 (c) -0.3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/13 + 2148*i\/13 + 12960\/13.\nAnswer: -2*(i - 1080)*(i + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 2519\/165) + (-3)\/(-5).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133123032 + -13?\nAnswer: -133123111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -3 (c) 1258.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 16 + 5 - 5 + 2*u - 15*u. Let o be (-1736)\/280 + (-8)\/10. Let x(q) = 4*q - 5. Calculate o*x(k) - 2*w(k).\nAnswer: -2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2367254989?\nAnswer: 11, 215204999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/42 - (2 + -14 - -11).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 5*i**2 - 3*i + 2. Let w be d(4). Let r = 8 - w. Suppose -5*z - 8499996 = 5*g - z, -r*g - 4*z = 3399996. Round g to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 1:29 PM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o*o*o*o**(-3)*o*o**(-6)*o\/(o*o*o**(-5))*o*o\/(o\/(o\/(o*o*o\/o**(-2)))) assuming o is positive.\nAnswer: o**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1700988?\nAnswer: 2, 3, 23, 6163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 5*v - 10, 3*q + v = 2*v + 2. Suppose 0 = u - q - 6. Let j = u + -2. Let c(f) = -f**2 + 4*f + 5. Determine c(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1357341, 1357247, 1357153, 1357059?\n\"Answer: -94*b + 1357435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17257656 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15458 and 10502?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 178*f*r**3*u + 34399*f*r*u - 341*r**3 - 5*r**2*u + 838*r*u wrt f.\nAnswer: 178*r**3*u + 34399*r*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -202 smaller than 0.046?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 - 3. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, f: 6}. Give prob of sequence mm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kb when two letters picked without replacement from {k: 3, b: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -70 - -66. Is 3 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b*c**2*i**2 + 6*b*c*i - 12*b*c + 2*b*i**2 + 87*c**2*i**2 - 2*c**2*i wrt c?\nAnswer: 2*b*i**2 + 174*i**2 - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p*p**(-1)*p))**(-23)\/(p**(-2\/3))**(-2\/31))\/(((p\/p**(2\/5))\/(p**(-1)\/p))\/(p\/((p\/(p**(-1\/3)*p))\/p))**(-11\/7)) assuming p is positive.\nAnswer: p**(-91993\/3255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32792032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 10*x + 1. Let o be w(-1). Let k = 293771\/54 + -5440. Calculate the common denominator of k and o - (-273)\/28 - (-4)\/(-6).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 76521240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -232460 + -14?\nAnswer: -232504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.15 + -0.84. Let t = -43391.69129 - -43392. Let l = t - g. Round l to four decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212111122011100 (base 3) in base 13?\nAnswer: 2784951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*z**2 + z**4 - 4*z**4 - 11*z**4 wrt z.\nAnswer: -336*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -5*i + l, 2*i - 4*l - 34 = l. Let x = -12 + i. Let k(h) = h**3 + 4*h**2 - 4*h - 3. Give k(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(896) + sqrt(1400)*1)\/((sqrt(128)*-1)\/(3*sqrt(20)\/sqrt(5))).\nAnswer: 9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -16407264820 rounded to the nearest one million?\nAnswer: -16407000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -980\/11 + 89. Find the common denominator of -1\/13 and l.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 4)*(1433 - 8*h - 2900 + 1448).\nAnswer: -8*h - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 1 - 2*p - 1\/2*p**2. Let t(o) = -11*o - 6. Let g(w) = 6*w + 3. Let x(i) = -7*g(i) - 4*t(i). Calculate -3*c(l) - 2*x(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 1461*x - 13. Let h(r) = 1. Let g(f) = 6*h(f) + k(f). Let z be g(-13). Round z to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p. Let l = 12 + -10. Let w(h) = 6 - 3*h**l + 5 - 11. Give w(t(f)).\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 204.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 0*b + 9. Suppose b*n + h - 38 = 0, -h - 2*h = -5*n + 40. Calculate the remainder when n is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-9))**(4\/13)\/(j**(1\/5)\/j)**9 assuming j is positive.\nAnswer: j**(288\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7883865?\nAnswer: 3, 5, 11, 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -40, -79, -124, -175, -232?\n\"Answer: -3*l**2 - 30*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - 2*l + 7, 4 = -749*l + 748*l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13440)\/640*(-8)\/(-6)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12673)\/435 + 40\/300?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -17, -32?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -3, 11, 4.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.4 (b) -4 (c) -6 (d) 187 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 + 25372824*p + 25372821.\nAnswer: 3*(p + 1)*(p + 8457607)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + -2)\/((112\/35)\/(-4)). Let p(h) = 4 + 1 + h**2 - 3*h + 0*h**2. List the prime factors of p(m).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 12, u: 6}. What is prob of picking 3 a?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i. Let v(j) = -2*j. Let y(u) = 6*c(u) + 4*v(u). Let n(k) = -k + 1. Suppose -t - 4 = 5*q - 0, 5*q + 7 = 2*t. Give t*y(w) + 2*n(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < 4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1295781 and 0.11.\nAnswer: -0.0195781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 546, 541, 524, 489, 430, 341, 216, 49?\n\"Answer: -h**3 + 2*h + 545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 at least as big as -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/15 of a millennium in months?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 898\/751 - 1726894\/24783. Is u < -68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**4 + 2*g**2*j - 69*g**2*k - g*j*k - 31*g*j + 263*k wrt g.\nAnswer: 12*g**2 + 4*j - 138*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 20*i**2 + 2398*i + 47976. Calculate w(-20).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 69 - 129. Let b = 295 + -293. What is the tens digit of 2 - (a - b\/(-2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112 and 98?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21234 and 0.4.\nAnswer: -8493.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 4 (c) 2 (d) 0.4 (e) 592974\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 390966 divided by 65161.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (-3 + 1 + 2). Let k be (2\/(-8))\/(1\/(-4)). Let f = q - k. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -1 - 4) + 2 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 526*o - 1595*o**2 - 527*o - 568*o**2 + 434*o**2.\nAnswer: -1729*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*x + 63*x = 259 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2537.2 + 2538.2. Which is smaller: 1777 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 22 = i, -6*i + 14 = -3*i - d. Suppose 5*h + 0 = -i*g - 21, -4*g - h = 28. Suppose -29*z = 100 + 103. Is g greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -9 + 9 + 6*t + 2*t. Let j(r) be the second derivative of -r**3\/6 + 5*r. Give q(j(w)).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = u - 61, 2*i + 5*u - 80 = 27. Let h = i - 46. Calculate the highest common factor of h and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61 - -96. Differentiate 626 + s*o - 672 + 10*o with respect to o.\nAnswer: 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 21 = 4*p + 33, -5*p - 5*l = 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3428 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - n + n)*(-6*n + 2*n + 2*n) + 4*n**2 + 0*n**2 - 3*n**2 + (4 - 1 - 1 - n)*(9*n + 18 - 18).\nAnswer: -6*n**2 + 18*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*u - 2*u - 5*u**2 + 3*u wrt u.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -4, 7, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 75264 and 301824?\nAnswer: 29578752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 - 1)*(4*n - 2*n + 0*n) + 0*n + 2*n + 4*n - 2*n - n - 7*n in the form d*n + c and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1 (b) 14 (c) -2 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -34 + -29 + 3255\/49. Factor k + 20\/7*d + 4\/7*d**2.\nAnswer: 4*(d + 2)*(d + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -815 less than 3?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/10 (b) -16\/21 (c) 53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 35*s**2 + s + 4. Let f be z(-2). Suppose b + f = -4*p - 64, -p - 46 = 3*b. Let h = -19 - p. What is the greatest common factor of 11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.6 - 3. Let x = -0.23 - 3.17. Let k = x - f. Which is the nearest to 1\/4? (a) k (b) 4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 * -0.046\nAnswer: 0.506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.031, 0.01401, -12.\nAnswer: -12, -0.031, 0.01401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 10:27 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x + 36*x - 146642 = -22*x. What is the greatest common factor of 17 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57 + 57. Let r be 26 + (-6 - p\/(-4)). Solve -8*i = -3*i + 5*c - r, 5*i + 4*c = 16 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1335.2 + -1337. Which is the nearest to -0.2? (a) -1\/9 (b) -2\/9 (c) 0.2 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-6 - (12 - (3 + 24))) - -25?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4883, -4882, -4881?\nAnswer: -4880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -617667 (base 15) to base 11.\nAnswer: -2684061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 - 2*v**2 - v**2 + 429*v**3 - 30*v**3 + 0*v**2 in the form q + d*v**3 + c*v**2 + h*v and give d.\nAnswer: 399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 5*f. Let r be p(6). Let o be 15\/(-10)*(-8)\/r. Suppose -o*j + 4*j = 14. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 + 107*n. Let x(t) = t**3 + t**2 + 55*t. What is 4*v(m) - 7*x(m)?\nAnswer: -7*m**3 + m**2 + 43*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*d - 20 = 0, y - 21 = -3*y - 5*d. Let s = 4463.3 - 4463. What is the nearest to y in s, -4, 1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 4:11 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeuulocq. Give prob of picking 1 u, 1 q, and 1 l.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/304 and -64\/57?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -35 and -225.\nAnswer: 7875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6913 and 2976?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20170 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*z + 120 + 206, 2*m - 3*z = 327. Suppose 0 = -0*g + 11*g - m. What is the remainder when 39 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*k - 5*d, k - 5*k - 2*d = 10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/3)\/f**8*((f\/((f*f**(1\/7))\/f*f))\/f)**21 assuming f is positive.\nAnswer: f**(-98\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o - 1. Suppose 6*d - 16 - 20 = 0. Let j(p) = 2*p. Let r(u) = d*c(u) - 14*j(u). Give r(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 5*a = -100. What is the highest common factor of 8 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b63 + 127?\nAnswer: c8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 338 and 611.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (3 - (6 - 1)) + -26 + 114.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(4\/5)\/(k\/(k\/((k*k**(6\/25)*k)\/k))*k))\/(((k*(k**(-1\/19)\/k)\/k*k*k)\/k)\/k)**(-42))**(2\/61) assuming k is positive.\nAnswer: k**(-43368\/28975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 47762151131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -1\/6, -83, 3.28 in increasing order.\nAnswer: -83, -2\/11, -1\/6, 3.28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2401714?\nAnswer: 2, 7, 19, 9029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttpbwptppbopttbtw. What is prob of sequence op?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -12*j - 30. Is c(-19) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 694, -0.1, 40, -1\/4, -2\/9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-506)\/(-46) - (-1 - -11)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**2 + 26*k**2 - 2*k**2 - 19*k**2 - 3 + 7*k**2 + 2 - 2*k + 2*k - 2*k**2 + (-1 + 1 - 2*k)*(0 - 2*k + 0).\nAnswer: 17*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**2 + 3469*u**3 - 3*u**4 + 2*u**4 + 5*u - 3466*u**3 in the form j + v*u**4 + t*u**3 + g*u + z*u**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 117655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 85350 rounded to the nearest 1000?\nAnswer: 85000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -62*v + 5. What is the remainder when f(-2) is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2030?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75 + (44 - (-32 - -93)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 2 + 10. Let h(z) = z**2 + 2*z - 2. Let q be h(t). Suppose -3*b = 5*g - q, -g - 1 = 3. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -2\/7 (b) -0.7 (c) 1\/3 (d) -1\/31 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of q**5\/20 + 2*q**4\/3 + 2*q**3\/3 - q**2\/2 - 2*q. Let y be g(-7). List the prime factors of (-1)\/(-3) - y\/(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2935 or -2936?\nAnswer: -2935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/3 (b) -20 (c) 2 (d) 0 (e) -0.4 (f) -64.7 (g) 0.044\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -231 + -2423245?\nAnswer: -2423520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16.17 and -28.75?\nAnswer: -464.8875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 545169?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/54 + 418\/18. Suppose b = x - 2. Suppose -8*v + x = -3*v. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -94*w - 8073. Determine f(-87).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 807651 divided by -6.\nAnswer: -269217\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 231, 198, 187, 210, 279?\nAnswer: 406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4447*u - 22236. Give b(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 0 - 44\/(-42). Let o = w - 7\/3. Let r = 79\/4 + -20. What is the closest to -1 in r, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1955 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 460813 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -652 = -126*h - 1390 - 1782 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 294815, 1 in decreasing order.\nAnswer: 294815, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of 0*k**3 + 0*k**4 + 0 + 0*k - 1\/420*k**7 + 0*k**5 - 3*k**2 - 1\/240*k**6. Find q such that r(q) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127846706033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 540 = 540?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00018186 rounded to five decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000016931232 to 7 dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -13. Suppose -u - 8 = -3*s, r = -3*s - 2*u - u + 12. Is (s\/6)\/(2\/72) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -11*a**3 + a**2. What is c(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 10*n + 10 + (n + 0 + 0)*(2 - 4 + 1))*(0 + 1 - 3).\nAnswer: 22*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 9:29 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 260 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - l + 2)*(-1250 + 2525 + 134479*l - 1275) to o*l + k + b*l**2 and give o.\nAnswer: 268958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12001?\nAnswer: 11, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 1\/9 (b) -33 (c) -3 (d) -4 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - s - 36 = 4*z, 2*z - 3*s - 28 = 0. What is the least common multiple of z and 13?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1035 is divided by 130.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 7 - 9. Suppose -21*j = -x*j - 5472. 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 = -190 + 189. Sort c, 1, -90, 0.3 in decreasing order.\nAnswer: 1, 0.3, c, -90","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, x: 8, v: 4, c: 3}. Give prob of picking 1 v and 1 x.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79960 is divided by 26651.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24486 by -1749.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -131.65 - 2.35. Let h = -133.9951 - o. Round h to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 17 = -27. Suppose c*q - 692 = -4*b - 40, 2*b - 5*q = 356. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n + 7. Let s be u(12). Calculate the greatest common factor of 171 and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -5. Let u be 6\/(-3) - (l + 0). Let w = u + 3. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b. Let d(t) = -4*t. Let j be -1*(0 + -5)*1. Let x(u) = j*d(u) + 16*o(u). Let m(v) = -5*v. Let s(h) = 6*h. Let w(c) = -7*m(c) - 6*s(c). Give x(w(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by -1865812.\nAnswer: -29\/1865812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*b**3 - 36*b**3 - 16*b**3 - 17*b**3 + 24*b**3 - 2*b**2 + 2 to u*b**2 + t*b**3 + y + l*b and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/66955 and -34\/49.\nAnswer: 468685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10244655469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1868517 and 114?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-76)\/(-5415))\/(624\/7020).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = w - 6, 0 = 2*m - 2*w. Solve -11 + 20 = m*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 764787985 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 14*m**2 + 224*m - 26. What is g(-15)?\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of 0 + 0*j**3 - 3*j - 1\/10*j**6 + 0*j**2 - 1\/3*j**4 + 0*j**5. Find the third derivative of o(m) wrt m.\nAnswer: -72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/2, -2\/21, -3, -19, 0.4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g**2\/6 + 91390598*g + 12528362104196406 = 0. What is g?\nAnswer: -274171794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x + 8*x - 688*x**2 + 660*x**2 as w*x**2 + r*x + n and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5368 and 592424558?\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2977141 and 509.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19967, -79892, -179767, -319592?\nAnswer: -499367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -956*t = -924*t - 32 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 837 (b) 5 (c) 4 (d) -76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**9\/t)**30 assuming t is positive.\nAnswer: t**270","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 + -0.6. Let y = -7.561 + 0.061. Let m = y - -8. Sort -0.04, a, m in increasing order.\nAnswer: a, -0.04, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 1\/2, -7, -187?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: a0 (base 12) to base 7\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 71543 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*o - 30. Let b = o - -2. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**5 - 46904*w**4 - 137358256*w**3 + 825838944*w**2.\nAnswer: -4*w**2*(w - 6)*(w + 5866)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 15465824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*i**5 + 3*i**2 + 9*i**4 - 9*i**3 - i**5 - 8*i**5.\nAnswer: -3*i**2*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -605.6 - -413.3. Let y = s - -192. Which is the nearest to y? (a) 0.2 (b) -1\/4 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -41*h**6 - h**5\/60 + 367*h**4\/8 - h**3\/3 + 55*h**2 + 2*h - 10. Find the third derivative of x(i) wrt i.\nAnswer: -29520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txu when three letters picked without replacement from {u: 2, x: 1, t: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.22 + 0.22. Let h = -1.56 - -1.6. Let a = u - h. Sort 3, a, 4 in descending order.\nAnswer: 4, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -135.5 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 4\/15*v**5 + 7\/6*v**4 + 2*v**2 + 0 - 4\/3*v**3 + 0*v. What is z in y(z) = 0?\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1230789 a multiple of 609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 666 and 148.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 2:19 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 292 by 235.\nAnswer: 292\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 276, 554, 826, 1092, 1352?\nAnswer: 1606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -8*y**2 + 204*y + 452. Let d(l) = -17*l**2 + 406*l + 908. Let b(f) = 3*d(f) - 7*g(f). Solve b(i) = 0 for i.\nAnswer: -2, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 632 + -532. Calculate the lowest common multiple of 20 and x.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 25*i**2 - 7*i**2 - 125 + 32*i**2 - 2*i**2.\nAnswer: -2*i**2 - 125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*o**4 - 6*o**3 - 567*o - 46*o**4 + 19*o**4 - 16*o**3 wrt o.\nAnswer: -48*o**2 - 132*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256097 is divided by 538.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y*y*y**(1\/4)*y)\/(y*y**(-1)*y)*y*y\/(y\/(y*y\/y**3*y*y))*(y*y\/(y*y**6)*y)\/y assuming y is positive.\nAnswer: y**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67184360 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21022 plus 0.3?\nAnswer: 0.51022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -aabb + 0?\nAnswer: -aabb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 4*q + 3*q**2)*(-q**2 + 0*q**2 - 4*q**2)*(-5 + 7 + 16*q - 103*q).\nAnswer: 1305*q**5 - 30*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -922*a**2*c**3 + a**2*c + 11*a**2 - 5*a - 25*c**5 + 1520 wrt c?\nAnswer: -5532*a**2*c - 500*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fgiffpiplf. What is prob of picking 1 f, 1 l, and 2 p?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 3:01 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**3 + 9*v**2 + 5*v + 9. Let m be i(-4). Suppose 2*b - 128 = m*g - 45, -b - 4*g = -48. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 55686689 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -110, -180, -212, -206, -162, -80?\n\"Answer: 19*v**2 - 127*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3321 + -3309. Solve -i*a - 111 = 25*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*2 - 4080\/320 - 242\/8\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (990 - 2126 - 2682 - 4846)*(-3*z + 3*z + z**2).\nAnswer: -8664*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 1977406*r. Let p(w) = -w**2. Calculate p(i(m)).\nAnswer: -3910134488836*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + q + 1)*(0 - q + 0)*(q + 0*q + 0*q)*(14 - 2 - 4).\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*q**5 + 111*q**2?\nAnswer: 780*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -72*z**2 - 46*z**2 + 55*z**2 + 3 + 4*z**2 - 3 + (-4 - z + 4)*(2*z - 3*z + 3*z) + 0*z**2 + 2*z**2 - 5*z**2.\nAnswer: -64*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, 17, -1\/5, -0.6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*i*x**2 + 304327*i*x + 43425766*i - 3*x**2 wrt x.\nAnswer: 14*i*x + 304327*i - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o*x**3 - 7*o*x**2 + 4*o*x + 22*o - 456*x**4 + 7*x wrt x?\nAnswer: 6*o*x - 14*o - 5472*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s + 11*s + 2*s - 26*s + 9*s. Calculate l(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*g + 2*g. Suppose -5*q + 1 + 2 = -4*w, g*w + 2*q = -45. Let n(i) = -2*i**3 - 9*i**2 - 3*i - 3. Is n(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(2\/7)*f)\/f*f)**(-20))**(-8\/7)*((f**(2\/5))**(-48))**(19\/3) assuming f is positive.\nAnswer: f**(-22592\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 255 by -85.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13\/4 of a millennium?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 326*j + 26728. What is n(177)?\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -204033 (base 10) in base 11?\nAnswer: -12a325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34275973469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -288499*i**4*x**3 - i**3*x**3 + i**2*x**2 - 56*i*x**2 + 659*x**3 wrt i?\nAnswer: -6923976*i*x**3 - 6*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -16*g + 301. Determine m(11).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -2, 0.1, 0.948.\nAnswer: -47, -2, 0.1, 0.948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -7. Let z be 5\/(60\/(-8))*-12. Let p = z + -5. Solve p*s + u = -9 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 - -2 - (34 - (42 + -20))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.326 - 2.674. Let k = -32.941 + -0.059. Put a, k, 5 in descending order.\nAnswer: 5, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*m - 2*m + 0*m - 2*m - 102 as r + n*m and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1732 or -1730?\nAnswer: -1732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/6)*v**(-3\/2)*v**(-2)*v**(-2\/5)\/v assuming v is positive.\nAnswer: v**(-76\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -40585982.5 and 3.\nAnswer: -40585979.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -419*w + 3367 - 3360 - 2*w**2 + 418*w. Determine u(6).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85)\/sqrt(20) + sqrt(17) + sqrt(17) + (sqrt(2057) - (sqrt(2057) + -2)))*-6)**2.\nAnswer: 360*sqrt(17) + 3969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-698)\/(-5235)*9\/2.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 0. Let u(j) = -j**3 + 8*j**2 - 5*j - 32. Let w be u(5). Suppose 0 = -17*q - q - w. Sort q, 5, p in increasing order.\nAnswer: q, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45903?\nAnswer: 3, 11, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 53. Give h(18).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 8*x + 5. Let i be m(7). Which is the nearest to 3? (a) 5 (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*j - 2, -j + 4 = -2*k. Let g(q) = -264*q - 31. What is the hundreds digit of g(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -179*c + 57*c - 1220 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 249\/4 or 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27 or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 10, 14.1, 5, -2\/17, 5\/3.\nAnswer: -2\/17, 0.3, 5\/3, 5, 10, 14.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 20*((-8)\/(-5)*(-528)\/(-704))\/(-3)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -164\/103, 5, 4, -0.046?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -206349994, -206349993, -206349992, -206349991, -206349990, -206349989?\n\"Answer: h - 206349995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1451072 = 110*x - 1451292 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4669370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i - 6. Let r be b(7). Let p = r + 2. Let l(x) = x**3 - 8*x**2 - 9*x + 11. What is the least common multiple of l(9) and p?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = c + 1 + 1, 2*s - c = 8. Suppose 3*r - 12 = -3*m, r + 4*m = 6*r - 2. Solve -5*y = -4*g + 3*g, r*y = s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.07 (b) 1\/2 (c) 0 (d) 12\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 13*h - g + 6 = 0, h - 3*g - 4 = 0. What is the closest to 3 in h, -0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 877*p**3 - 4*p**2 + p + 2. What are the prime factors of k(1)?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 2*b - 2. Let f(y) = -y**2 - y - 1. Let d(w) = 2*f(w) - j(w). Let s(u) = 2*u**2. Give d(s(p)).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75 + 79. What is the second smallest value in o, -0.4, -21?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 4*m - 89, -2*h = 2*m + 3246 - 3196 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472551 is divided by 450?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.029 - 0.429. Which is the third biggest value? (a) -4 (b) -5 (c) 3\/2 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -4*(-2)\/4. Let z = 200305 + -200302. What is the second smallest value in z, -6\/7, k, -4?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - y - 28 = 0, -5*y + 12 = -2*y. List the prime factors of p\/2 + (-60)\/15.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -809*k + 745 + 27759 = 605*k + 622*k for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -30.21 and 0.594.\nAnswer: -17.94474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91*(-16)\/392*-273 is divided by 38?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**3 - h**4 - 3*h**3 + (-1884*h**3 - 2427*h**3 + 3094*h**3)*(3 - 3 + 11*h) to d*h**4 + k*h**3 + n*h**2 + c*h + r and give d.\nAnswer: -13388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of k**2 + k + 4. Let n(c) = c**3 - 5*c**2 + 2*c - 7. Let s be n(5). What is the units digit of q(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 94.\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -790\/173 and -4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + i + 4, 292*c = 297*c - 99*i + 100*i + 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.06, 0.06, 1\/4, 0.1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110, 116, 122, 128?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + ((1*sqrt(1700) + -1 + (-4 + -1 + sqrt(1700) - sqrt(1700)))*-5)**2).\nAnswer: -6000*sqrt(17) + 86802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -9828*v**2 - 3*v - 2. Let g(k) = 30*k. Determine g(s(t)).\nAnswer: -294840*t**2 - 90*t - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - -1.1. Let r = f + -1. Which is smaller: r or 1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/2342102 - -1909984247\/154578732. Let u be ((-100)\/(-48))\/(1 - -10). Let j = u - f. Calculate the common denominator of j and 129\/110.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 169\/(-1183)*(-1)\/(2\/6)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51553611.\nAnswer: 3, 179, 10667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 390 and 7332130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*l + 137, -215 = -5*l + p - 6*p. Calculate the remainder when 2582 is divided by l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 278*y - 12. Let r(s) = -152*s + 5. What is -2*f(v) - 5*r(v)?\nAnswer: 204*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*j + 42. Suppose -60 = -2*t + 6*t. Let z = -10 - t. What is the remainder when j is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6559 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/77, 3, 2929, -3.\nAnswer: -5, -3, 1\/77, 3, 2929","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 10609010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -3. Let h = -0.09 - -0.12. Let j = -0.17 - h. What is the nearest to r in j, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4\/4839 - 1364578\/24195. Let v = q + 1747\/30. What is the common denominator of v and 9 + -10 + (-14)\/(-63)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 5*k - 65. Suppose 8*x = 3*x - 4*h + 952, -2*h + 758 = k*x. List the prime factors of x.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10032003?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -132 + 354. Calculate the common denominator of (-4)\/(-6)*a\/(-16) and 1\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p. Let t(x) be the second derivative of 355*x**4\/4 + x**3\/3 + 725*x. Determine t(q(i)).\nAnswer: 4260*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2132351\/7768844 + -4\/47371. Find the common denominator of w and -5\/36.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -30440?\nAnswer: 30431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 1212673?\nAnswer: 1212670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*t**3 + 2*t**2 - 1 - 18*t**3 + 7*t**3 as d*t**2 + b + r*t + g*t**3 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -294 + 283. Let v(w) = 5*w**2 + 5*w - 9. Let j(u) = -9*u**2 - 9*u + 17. Give n*v(l) - 6*j(l).\nAnswer: -l**2 - l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -25223205 (base 6) to base 15\nAnswer: -1108eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473937?\nAnswer: 3, 239, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0154737 to 4 decimal places.\nAnswer: -0.0155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.8 - -0.8. Let i = -6 + 5.3. Let y = q - i. Which is the smallest value? (a) y (b) -0.2 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26580 by 10.\nAnswer: -2658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2859.\nAnswer: 3, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5868660415.\nAnswer: 5, 1173732083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2154?\nAnswer: 2, 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -8*i**3 + 13*i**2 + 17*i - 1. Let j be t(-4). Suppose 114 + j = 5*m. Is m a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -151799321*n**5 - 19502*n**2 - 649*n.\nAnswer: -9107959260*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -0.00713.\nAnswer: -3.99287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23525567 is divided by 94?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -16*l**3 + 2*l**2 - 4*l. Does 14 divide m(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and -0.09.\nAnswer: -1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/7, -5\/8, -0.1, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 939 + -921. Are c and 8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u + 8. Let r be x(4). Suppose -2*k + k = r. What is the smallest value in k, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/t**1)\/t)\/t)\/((t*t**(-2\/39))\/t)*(t\/t**(-8))\/(t*t**11))**43 assuming t is positive.\nAnswer: t**(-8299\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -12, 19, 100, 249, 484, 823?\nAnswer: 1284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 248\/(-93)*2*(-18)\/16\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.28105 + 2.08105. Let f = 1 - -4. Which is the closest to 0.2? (a) -2\/5 (b) p (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 13780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzigzzzzidirizzrz. What is prob of sequence di?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 394 = 2*p - 0*i, -4*i + 998 = 5*p. Does 22 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1518 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -262*c**2 - 31*c + 3.\nAnswer: -524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 8. Let k be 2 - (w + -1)\/(-2). Solve 7 = 2*n - k for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**2. Let u(n) = 4 + 41*n - 21*n - 16*n. Let q(x) = x**2 + 5*x + 5. Let i(a) = -4*q(a) + 5*u(a). Calculate l(i(s)).\nAnswer: 48*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -3584?\nAnswer: -3589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 431965866319 and 0.751.\nAnswer: 431965866319.751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.63 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**9\/60480 + s**8\/20160 - s**7\/5040 - s**6\/720 - s**5\/12 + s**2. Let a(z) be the third derivative of y(z). Factor a(r).\nAnswer: (r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**5\/15 - l**4\/12 - l**3 - 3*l**2. Let d = 699 + -696. What are the prime factors of k(d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8019\/(-2187) - ((-5)\/(-4))\/((-3)\/4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hvjfvfqqz. Give prob of sequence zff.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 5*a**2 + 2*a - 5. Let y be w(-4). Suppose 0 = t - 5*u - 71, -u - y*u = 4*t - 236. What is the remainder when t is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/1 - -7 - 0. Suppose 4*k = o - 2*o - 11, 3*k + 11 = 2*o. Let a = q - o. Solve -2*m = -a*m - 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1940893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 5*q + 6, 3 = -14*q + 10*q + z for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, -2, -196, 5, 4 in decreasing order.\nAnswer: 5, 4, -2, -55, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 50384 divided by -12596\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -310, -285, -260, -235, -210?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 8. Let f be 16\/(-6) - 28\/21. Let r be (-1)\/((4\/f)\/(-4)). Sort t, r, 5 in decreasing order.\nAnswer: 5, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q**3 + 8*q**2 + 4*q - 8. Let h(g) = 10*g**3 - 20*g**2 - 10*g + 20. Let f(u) = 5*h(u) + 12*w(u). Factor f(s).\nAnswer: 2*(s - 2)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -5*h**4\/2 + 2*h**3 + h**2\/2 + 7*h + 3089. Let l(a) = -a**3 - 6*a**3 + a + 4*a**2 - 1 + 6. Give -7*l(g) + 5*v(g).\nAnswer: -g**3 + 2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45074 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 3*m + 35. Let j be m\/(-10)*(-6 - 74). Let x = 75 - j. What is the highest common factor of x and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**36\/d**32)\/((d\/(d*d**(-6)))\/(d*d**(-17))))**(-3\/11) assuming d is positive.\nAnswer: d**(54\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92608 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - (6 + -3))*-4. Suppose 4*w + z*l = 16, 2*w - 4*l = -0*w + 8. Solve w*n = -n + 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175317011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*k**3 + 306*k**2 - 195*k - 126.\nAnswer: 3*(k - 1)*(k + 21)*(5*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((216\/(-16))\/9)\/((-3)\/2). Let j(r) = -r + 2. Let z = 5 - 8. Let c(t) = 67. Let o(d) = 56. Let f(k) = -5*c(k) + 6*o(k). Determine i*j(q) + z*f(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 294789?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*d + 146 - 272 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -145 + 18?\nAnswer: -12c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 9, m: 10}. Give prob of sequence fff.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2420 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41035199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 246862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90133 is divided by 374.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 3. Let l be (-4)\/14 + 16\/s. Suppose -l*p + p + 55 = 0. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**8\/5040 - 59*n**5\/30 + 110*n**2. Let j(i) be the third derivative of z(i). Let h(r) = 3*r - 2*r - 4*r. Calculate j(h(k)).\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1332.36 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, 0.4, -405\/7, -39\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**3\/2 + 116523*d**2 + 7926597*d\/2 + 16903230 = 0.\nAnswer: -29, -5, 77716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 3*r**2 + 6*r - 6. Let m = 2 + 2. Let d be q(m). Solve -3*b - b = 3*g - 28, 3*b = d*g + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 k, and 1 c when three letters picked without replacement from eievckq.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 11) to base 9\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*n + 390 = 91*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67066448?\nAnswer: 2, 401, 10453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*o + 10 = 0, -n - 3*o = -21. Let q = n - -20. Suppose -6 = -p + q. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -4065*c**4\/8 + 4120*c**3\/3 - c**2 - 950*c. Find the first derivative of k(z) wrt z.\nAnswer: -12195","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-147)\/(-126)*58656\/2912.\nAnswer: 47\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 200.8 - 198.8. What is the closest to 1 in 1, l, -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/24)\/1*((-616)\/(-33))\/(-14).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/11250 and -23\/1875?\nAnswer: 11250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1.6*51.4\nAnswer: 82.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, q: 1, n: 2, h: 1, t: 1, y: 1}. Give prob of sequence cty.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 30 = 21*t. Which is the smallest value? (a) t (b) -108 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - (sqrt(133)*1 + sqrt(133)) - sqrt(133))\/sqrt(7))**2 + (-1 + sqrt(171))**2 - (2*(sqrt(19) + sqrt(19) + -1)**2 + 3).\nAnswer: 2*sqrt(19) + 91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 32*u**2 - 1472*u + 6. Calculate d(46).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11223405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.097 minus -8.16?\nAnswer: 8.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 66*k**2 + 378*k - 2093. What is a(-59)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -3. Let q(w) = w**2 + 3*w - 1. Calculate the least common multiple of q(-5) and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3548 + -0.3548. Let z = 0.12 - 0.22. What is the nearest to z in 3\/4, 2, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 8:08 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2437813557.\nAnswer: 3, 31, 2912561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9990 is divided by 2459.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1166991 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -2 (b) -2\/9 (c) 1\/6 (d) 14\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 19 = 2*i + 2*y, -3*i + 2*y - 4 = 0. Solve 5*z = 3*a + 22 - 6, 0 = -a - i for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 15*n = -566. Suppose -829 = -5*a + n. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -4*c**2 + 3*c. Let o = -38 - -40. Calculate t(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -0.03 (c) -2 (d) 2\/23 (e) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/16158 and -89\/22?\nAnswer: 177738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -0.3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*z**2 + 10*z**2 + 27*z + 13*z**2 + 46*z**2.\nAnswer: 85*z**2 + 27*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -105 + 119. Let b(g) = -o*g - 13*g + 2*g. Determine b(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in -823, -2\/15, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*t - 83*t = -8705. What is t rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (789\/26300)\/((-5)\/50)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22\/3*i**2 + 0*i + 0 - 2\/3*i**3.\nAnswer: -2*i**2*(i - 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 33 + -19288?\nAnswer: -19255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -0.002 (c) -2\/3 (d) 3 (e) -3\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from papphllhoohlplplooh. Give prob of sequence apop.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -26272982 * 2\nAnswer: -52545964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2736.2 + 2734. Which is the closest to 4\/3? (a) 3\/2 (b) k (c) 0.2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + 21.28041265237.\nAnswer: 20.78041265237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -20?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 615*z - 587*z = 66 - 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4664)\/9328*(33 - 2\/(-2))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 673.8015 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of f**4\/10 - 16*f**3\/15 + 4*f**2 - 32*f\/5 + 42. Factor o(m).\nAnswer: 2*(m - 4)*(m - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4 = 2. Suppose -32 = -g*v + 14. Suppose -2 = -k + 3*l + v, -3*k = -2*l - 96. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t - 5. Let x be d(-15). Let v = 35 + x. Suppose 0*q - q = -v. Calculate the greatest common divisor of q and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 117?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) -98 (c) -1\/1654 (d) 5 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1445 is divided by 173.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 0.01 (b) 5 (c) 1 (d) -4 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y - 373*y**3 - 377*y**3 + 753*y**3 - 4*y - 4*y.\nAnswer: 3*y**3 - 9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10212.5 rounded to the nearest one hundred?\nAnswer: -10200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**5\/3 - 1411*i**4\/3 - 19737*i**3 - 528509*i**2\/3 + 1240300*i\/3 - 217056 = 0.\nAnswer: -1368, -28, -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275 = 191*m + 1039. Suppose 0 = -b + a + 2*a - 7, 4*a - 6 = -2*b. What is the smallest value in -3, 5, b, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1675 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -88015 divided by 6030?\nAnswer: -17603\/1206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-108)\/(-24))\/(5\/(-2)). Let z = q + 59\/30. Put 1\/2, -0.4, z, 0 in increasing order.\nAnswer: -0.4, 0, z, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 6*f**2 + 6*f - 6. Let y = -13 + 19. Is 10 a factor of z(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, i: 4, m: 1, b: 11}. Give prob of sequence imii.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169526.\nAnswer: 2, 7, 12109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.015 - -4.785. What is k rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, a: 6, o: 1, j: 1, c: 2}. What is prob of picking 1 o, 2 c, and 1 a?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + n - 1, -3 = -130*d + 142*d + 3*n for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/(-9))\/(8\/12) - 1002. Let b = u - -1401. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 8*c + 15. Let w be f(6). Find the third derivative of -5*i**3 + 4*i**3 - 2*i**w + i**3 - 6*i**2 wrt i.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.1, 0 in ascending order.\nAnswer: -0.1, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**4\/6 - 5*r**3\/6 - 5*r**2. Let z = 27 + -7. Calculate the remainder when z is divided by d(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(105)\/sqrt(7))\/sqrt(5))**2 + 5)*6.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 0 (c) 4\/3 (d) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -1\/4*p**4 - 13*p + 3*p**3 + 6*p**2 + 5. Let l be u(10). Is 7 != l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 2*t**2 - 2*t + (6*t - 2*t - 3*t)*(2*t + 0 + 0) - t**2 + 2*t - 2*t)*((-t - t + t)*(-1 + 1 + 2) - t + 2*t - 3*t + 5*t - t - 3*t).\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - x + 1. Let z(t) = 23*t**2 + 5*t + 20. Let l(a) = -5*i(a) - z(a). What is the first derivative of l(u) wrt u?\nAnswer: -36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z**2 + z + 1. Let h be (-1)\/((12\/4)\/(-105)). Let v be (6\/5)\/(14\/h). List the prime factors of s(v).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 888 and 576.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + l = -2*m + 9, -3*l + 5*m - 7 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-27))\/((-96)\/864)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 140695*g**3*n*w**2 - g**2*n*w**2 + 221*g**2*n - 7*g**2*w**2 wrt g?\nAnswer: 844170*n*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {p: 7, z: 2, d: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cmmmmmmcmmmmmcmmmm. What is prob of picking 3 m and 1 c?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1203, 1198, 1179, 1140, 1075, 978?\n\"Answer: -m**3 - m**2 + 5*m + 1200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62404 is divided by 26756?\nAnswer: 8892","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/(-25))\/(0 + 3). Let y = 0.3 + -5.3. Let i = -9 - y. Which is the nearest to 1\/5? (a) -3 (b) i (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.205736 to 2 decimal places.\nAnswer: 7.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.3 - -2.3. Let u = h + 8.4. Which is the second biggest value? (a) -8 (b) -2\/5 (c) -4 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 1496\/(-33)) + (-4)\/(-6). What is the greatest common divisor of u and 230?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - 0\/(-2)) + 76. Suppose o = 3*l + 4*q, -3*l = q + 2*q - 69. Let t(j) = 6*j + 3. Let w be t(4). Calculate the greatest common factor of l and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2913\/7 - 417. What is the fourth smallest value in r, -5, 3\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - -b2?\nAnswer: b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y. Let j be v(-3). Suppose j*r = 4*r - 7. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1061, -2070, -3079?\n\"Answer: -1009*t - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(1\/7)*j*j**(-5))**(1\/2) assuming j is positive.\nAnswer: j**(-11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 5*l + 9. Let n be w(5). Let p = 273 - n. What are the prime factors of p?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of t + 43. Let a(d) = -14*d**3 - 14. Let i(n) = 2*a(n) + 4*w(n). Differentiate i(s) wrt s.\nAnswer: -84*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13792.\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m - 11. Let g be l(-5). Suppose -g*f = -2*f. Put f, -5, -1, 5 in decreasing order.\nAnswer: 5, f, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**3 + 26*x**2 - 228*x + 7. What is f(-19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7824605?\nAnswer: 5, 1564921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 21\/5 of a microsecond?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*n - 3613464 - 4932246. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4073368?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 1:55 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5943 - -7249. List the prime factors of c.\nAnswer: 2, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31.3 + 30. Is 1 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vgga when four letters picked without replacement from {v: 4, a: 4, g: 3, o: 3, c: 2}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1162 - 1242.3. Let x = 86 + o. Round x to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*s - 71 = 0, p + 3*p + 2*s + 66 = 0. Let n = 8 + p. Let t = n + 40. Is 21 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.76998071 to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 + 46. Let j be (36\/(-15))\/g*(2 - 7). Does 17 divide (-1)\/(9\/(-2976)) + (-1)\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 2*t - 28, -4*f + t = 1 + 11 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 6:49 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -767*t**3 + 154*t**2 + 9*t. Let d(z) = 383*z**3 - 75*z**2 - 4*z. Let x(w) = 4*a(w) + 9*d(w). What is the third derivative of x(g) wrt g?\nAnswer: 2274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m - 7. Let b be t(-3). Suppose -170 = -3*h - b*h. Let u = -10 + h. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -535.3 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2904 and 134673?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 0. Suppose -q - 25 = -4*n. Is 2 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8446747 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 35314 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3134 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -521, 2 in increasing order.\nAnswer: -521, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a year in months?\nAnswer: 81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k - 2. Give j(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 8\/2)*-2. Let z be -1 - ((x - 5) + 0). Let r(o) = 7*o**3 - 3*o**2 + o - 1. List the prime factors of r(z).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 744324803 to the nearest integer?\nAnswer: 27282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {f: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gnnx when four letters picked without replacement from {g: 3, c: 2, n: 5, x: 5}.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 73 = -8*h - 8*o, h - 11 = -o. Let l(q) = -q**3 - 7*q**2 + 5*q + 8. Let i be l(-8). Calculate the greatest common factor of i and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, y: 5}. What is prob of picking 3 y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48727*y**2 + 60266*y**2 - 11541*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -r + 5, -2*r + 10 = -37*a + 38*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-154)*-2)\/((-2)\/(-24)*8).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21637 (base 8) to base 14.\nAnswer: 3475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.42 in -0.3, -0.2, 1\/2, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*j + 45 = 0, 2*n - 3*n = 4*j - 10. Is 5\/(n\/151)*8\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23*a*t + 5053*a - 28*t - 3976 wrt a.\nAnswer: 23*t + 5053","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6049155 by -1855.\nAnswer: -3261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**3 - c**3 + 0*c**3 + (0*c**2 - 2*c**2 + 0*c**2)*(-10*c + 11*c - 25*c) - 2*c**3 + 0*c**2 + 0*c**2 - 2*c**3 + c**2 - c**2.\nAnswer: 42*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + o. Let n(l) = -l + o*l + 0*l. Let b(f) = -6 - 2*f + 4 + 4 - 4. Determine b(n(v)).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 1:08 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35604345 and 165?\nAnswer: 391647795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1198996, 2397999, 3597002, 4796005, 5995008?\nAnswer: 7194011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60098 is divided by 30039.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c0 (base 16) in base 15?\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 297\/18)\/(((-80)\/5000)\/(3 - 7))?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**0*j*j)\/j)**0)**(-22)\/((j\/(j\/(j\/(j*j\/j**(-2\/3)))))**(-7\/11))**(-25) assuming j is positive.\nAnswer: j**(875\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 58 = 3*o - l, -2*o - l - 26 = 0. Let d be (-51)\/o + (-1)\/4. Solve d*g + 12 = -v - 5, -3*g = -5*v + 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.32, -2\/11, -1273, -4 in decreasing order.\nAnswer: 0.32, -2\/11, -4, -1273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 5*s + x + 73 = 0, -7*s - x + 3*x - 92 = 0 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5050 + 5282. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -237 - -229. What is the remainder when 34 is divided by (0 + 1)*(10 - 3 - d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a decade in years?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.712 take away -2.99469?\nAnswer: -3.71731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 2 + 493. Let t be (-2)\/2*(2 - 2). Let q be -11*(1 - t - 2). Calculate the greatest common factor of n and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (16 - 7845\/15)*(-11)\/3?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**5\/20 - m**4\/3 - m**3\/6 - 5*m**2\/2 - m. Let o = 4 + -8. Calculate f(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.4, -3\/7, -0.3, -1\/3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + 0. Let r(p) = -p**2 - 8*p + 85. Let q be r(-14). Solve -q = -c - u for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*sqrt(363))**2*1 - (-3 + 5*sqrt(12)*3).\nAnswer: -30*sqrt(3) + 23235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.67 minus -43678?\nAnswer: 43676.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -c46 (base 13) in base 3?\nAnswer: -2212021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 + (-73 - -36) - 84) + (19 - 1).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*f)*(-2 + 4 - 1)*(355 + 125*f - 63*f - 64*f).\nAnswer: 4*f**2 - 710*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 167.17 - 167. What is j rounded to 2 decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -40882, -161364, -362170, -643300, -1004754, -1446532?\n\"Answer: -40162*o**2 + 4*o - 724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + (2 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396*s - 3190 = -12298 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 434*6\/(12\/7). Suppose 3*d - 431 = v. Is d\/14 - (-3)\/(-7) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(2\/9)*h)\/h**(-6))\/((h\/h**(-5))\/(h\/h**(1\/4))))**(-2\/7) assuming h is positive.\nAnswer: h**(-107\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 r when two letters picked without replacement from {b: 4, r: 4, m: 2, z: 1, l: 5}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*w + 126*w - 28*w + 92*w.\nAnswer: 168*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 2)*(-24*t + 2*t - 36*t)*(25 - 6 + 27)*(-3*t + 2 - 2) in the form g + i*t**2 + k*t and give i.\nAnswer: -8004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3373, -10639, -22695, -39499, -61009, -87183?\nAnswer: -117979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33.02 - 0.02. Let w = a + -32.9999988. Round w to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 4*w + 2*q, 5*w - 3*q = 2*w - 12 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**4 - 4*a**3 - a**4 + 6*a**3 - 1 + (-4 - 2*a**2 + 4)*(-4*a + a**2 + 4*a).\nAnswer: -3*a**4 + 2*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 5*d**4\/4 + 2*d**3 + 3*d**2 + 6*d + 17. Let r(o) = -o**3 - o**2 - o - 1. Determine l(n) + 6*r(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 817822?\nAnswer: 2, 408911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 4. Calculate the remainder when z is divided by (-108)\/(-243) + (3 - 5\/(-9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3935*k**2 + 1581*k**2 + 1962*k**2.\nAnswer: -392*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-3 + 12 + -5 - 6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 76 - -4. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**3*x**2 - 290*b**3*x - 10*b**2*x**3 + 13*b*x**3 - 3*b*x wrt x.\nAnswer: -6*b**3 - 60*b**2*x + 78*b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59519 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: Let f = 6 + -4. Let x = 5.01 - 0.01. Let r = 8 - 11. What is the second smallest value in r, f, x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 21, -654, 0, 5 in ascending order.\nAnswer: -654, -5, 0, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 729, 712, 695, 678?\n\"Answer: -17*b + 746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*g**4 - 38*g**4 + g - 26*g**4 + g**2 as c + w*g**3 + m*g**4 + q*g + r*g**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4)\/(d*d**(-8)\/d))**(2\/107) assuming d is positive.\nAnswer: d**(8\/107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 44*v - 2788. What is u(63)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*m = -49*m - 49*m + 209 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v**2 - 4*v**2 - 13*v**2.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/7)\/w**(-15) assuming w is positive.\nAnswer: w**(106\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 181.2 from 1.70107.\nAnswer: -179.49893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 87675 or 87664?\nAnswer: 87664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 3331000?\nAnswer: -3331001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17056)\/(-949) + -20 - (-6 + 4).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/5 + 4 + 4. Suppose -12*h + 10*h + b = 0. Suppose 5*v - 23 = 5*f + 162, 20 = -h*f. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: -68717379 - -49866\nAnswer: -68667513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 8*r + 299. Give b(-38).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 3*h**2 - h + 3. Let f(s) = -s**3 + 4*s**2 + 6*s - 2. Let b be f(5). Let p be n(b). Suppose -3*r = -p*r - 9. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/3*60\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1289407936.9 + -30.\nAnswer: 1289407906.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 7*v + 3. Let b(r) = r + 1. Let t(w) = -5*b(w) + y(w). Let q(f) = f + 1. What is -q(h) - t(h)?\nAnswer: h**2 - 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 254251470?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 51 (b) 0.3 (c) 4591\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-9)*17\/(-119)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -8. Let m = -13 - -17. Solve o = r - k*o - 15, 0 = m*o + 16 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2438122669?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zouovooom. Give prob of sequence omzo.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 263 (b) -1\/37 (c) -1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 4*o = -2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 8) to base 15\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*g, -5*g = 2*i - 2 + 1. Let o(u) = 5 - 4 + 4*u + i - 6*u. Suppose 226*q + 23*q - 228 = -975. Determine o(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*x - 4*x - 16*x.\nAnswer: -35*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 2, -4 in ascending order.\nAnswer: -4, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*z + 571 + 331. Let n be (76\/171 - z\/198)*-6. What is the nearest to 45 in -0.3, n, -1\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 5 = -2*u + 3, -2*r - 3*u - 14 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7702 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(10)\/sqrt(5)*3 - (-3 + sqrt(2) + sqrt(2) + sqrt(8)*-6))**2.\nAnswer: 26*sqrt(2) + 339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m + 63. Let v be d(-10). Solve 0 = -8*f - 19 - v for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59451 and 10773.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2. Suppose -3*t + 2 = 4*l, -l = 4*t - 0 + 6. Let v(c) = 9*c + l*c + 8*c - 17*c. Calculate w(v(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 - 17*o - 35. Give n(12).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 23 = 29*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(-3 + sqrt(2)) - sqrt(20)\/(6*sqrt(10))) + 2 + -2 + sqrt(72) + 4 + sqrt(8)\/sqrt(4))**2.\nAnswer: -781*sqrt(2)\/3 + 7219\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -4 (b) -5\/2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3313 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -287 - -287.83. Let f = -0.03 + m. Which is the closest to f? (a) -1 (b) -5\/4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26362201, -26362203, -26362205, -26362207?\nAnswer: -26362209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 27, 28?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**2 + 7*r + 8. Let w be m(-5). What is the highest common divisor of w and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 45625*s - 16429. Let r(c) = -5703*c + 2051. Let d(y) = 6*h(y) + 46*r(y). What is the derivative of d(v) wrt v?\nAnswer: 11412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26779086 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 32*g**2 - 210*g + 4737. Give c(34).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 6.6. What is the third smallest value in -0.1, 3, c, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, 327, 726, 1285, 2004?\nAnswer: 2883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o - 2. Let u be m(-3). Solve 0 = 2*t, 0 = z + 3*z + 2*t + u for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.187601666 rounded to 2 dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-5\/4)))**(32\/9) assuming q is positive.\nAnswer: q**(40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -42380 greater than 2.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55 - 68. Let u(r) = -17*r**3 + 9*r**2 + 15*r - 13. Let c(l) be the first derivative of -2*l**4 + 4*l**3\/3 + 7*l**2\/2 - 6*l - 2. Give q*c(i) + 6*u(i).\nAnswer: 2*i**3 + 2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1536, -1, -3, 1, -4, 7 in descending order.\nAnswer: 7, 4, 1, -1, -3, -4, -1536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -74.536 + 72.536. Let q = 0.16 - 10.16. What is the third biggest value in -4, -5, q, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 270 - 268 - (1 - 1) - (-7 - -6 - -32)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49.8 + 45.8. Which is the nearest to 0? (a) 0.2 (b) -5 (c) -1 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28053.\nAnswer: 3, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 474199.26 to the nearest 10000.\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -723 - 1784 - 6737*l**2 + 286 wrt l?\nAnswer: -13474*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/4*(-18)\/(-96)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**4 - 4*q**4 + 2*q**4 + (2*q**2 + 3*q - 3*q)*(0*q**2 + 4*q**2 + 0*q**2) - 2 + q**4 + 2.\nAnswer: 10*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6d8 - -bc?\nAnswer: -61a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (20 - (-14001)\/(-286)) + 29\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/12)\/(9\/(-18))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2979*w. Let a(g) = -2*g**2. Give a(l(v)).\nAnswer: -17748882*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21134 - 11?\nAnswer: 21123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/154000 and -111\/3850.\nAnswer: 154000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + -21207670?\nAnswer: -21207676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-25\/4)*t*t**(4\/7) assuming t is positive.\nAnswer: t**(-131\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/7 (b) -230\/9 (c) 1 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 320 and 35040?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172*l = 46*l. Let j = 311\/247 - 21\/19. Let l - j*n**2 + 0*n = 0. What is n?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161277 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -224 + 229. Solve -3*s + 1 = -s + o, -s + 6 = -c*o for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 4 + 8)*(1 - 5 + 2)*(-17*v - 9 + 9).\nAnswer: 884*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*g = 150 - 165, 5*v - 2*g = 13. Solve 0 = -v*r - 960*p + 962*p - 8, 3*r - p = -4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 75, 1, -99, -3, -571, 5 in decreasing order.\nAnswer: 75, 5, 1, -3, -99, -571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11120010220 (base 3) in base 4?\nAnswer: -111322230","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**3*m**2 + c**3*m*y - 4*c**2*m**2*y + 6*c**2*m - c*m**2 wrt m.\nAnswer: -2*c**3 - 8*c**2*y - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 7) + 13 + 7 + -12 + 6 - 31.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 5 - 2) + 2. Suppose -2*k - k + 12 = -4*i, 4*i + m*k = -36. Is -6 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 172660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -17. Let m(s) = -s + 8. Let a be m(0). Suppose 0 = 3*b + r + 2*r + 9, 2*r + a = c. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 7*y**3 + 15*y**2 + 3*y + 13. Let c(d) = d**3 + d**2 - d + 1. Let j(m) = -6*c(m) + u(m). Let h be j(-8). Is (-194)\/4*h*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fio when three letters picked without replacement from oijujjujjcojiif.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jkj when three letters picked without replacement from jkjkqqqjwowqqjjokobk?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 15*8*13686\/102645\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -390 - -550. What is the greatest common divisor of 30 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 3*z**2 - z - 4. Let n be l(-3). What is the common denominator of ((-1)\/3)\/((-33)\/(-162)) and n\/(-4)*(-9 + -32)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115630710 is divided by 3400903.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l - l - 2*l**5 - 5*l wrt l?\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 v when three letters picked without replacement from lwywhhlviivhwh.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 29*h**2 + h + 1. Let g be (-4)\/6 + 3\/(-9). Let v be d(g). Suppose -230*i = 154*i - 1920. Solve -4*w = s - 24, i*w + 5*s = 16 + v for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyooyyyyy. What is prob of picking 1 y and 2 o?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 3*t + 4*t)*(-15 - 6 + 10)*(518 - 1903 - 984 - 102).\nAnswer: 54362*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-55)\/8)\/(19\/(-38))*144\/90\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 less than -233565667?\nAnswer: -233565644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -3*r + 7*r + 12, -5*r = -5*c + 25. Suppose -119*f + 6337 + 1035 = -1196. Calculate the greatest common factor of f and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271900 rounded to the nearest ten thousand?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19.2 - -19.7. Let t = -521 + 520. Which is the closest to 1? (a) t (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2\/2*(-15)\/3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v + 62. Let s be r(22). Let y be (-7 - 86\/(-10))*(-10)\/s. Solve -9 = -5*x - y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**5\/2 + g**4\/3 - 5*g**3\/6 - g**2 + 29*g - 5. Let y(k) = -11*k**3 + 5*k**2 - 6*k - 2. Calculate 5*y(x) - 6*z(x).\nAnswer: 5*x**3 + x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 13.7. What is the second biggest value in i, -1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i + 47 = -n + 8*i, 4*n = 5*i - 63. Let o = n - -28. Calculate the remainder when 12 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 13*d**3 + 7*d**2 + 7*d + 4. Let m = 58 + -65. Let j(i) = -7*i**3 - 4*i**2 - 4*i - 2. Determine m*j(o) - 4*c(o).\nAnswer: -3*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 1879 (b) -3 (c) -196 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55994945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -1. Let a = -0.0252 - -169.2252. Let q = a - 169. What is the second biggest value in q, o, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.35 + -0.05. Let k = 0.1 + 0.1. What is the nearest to 0.1 in p, k, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in 5\/7, -19, 1\/6?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356522?\nAnswer: 2, 178261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 56801*u**3 - 74*u**2 + 73*u. What are the prime factors of q(1)?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**3 - 3*c**2 + 4*c - 3. Let s be a(3). Let f = -24 + s. Suppose f = -4*q - 8. Do q and -6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/31068 and 17\/42.\nAnswer: 217476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 826 - 580. What is the units digit of 6\/2*q\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gkkkgkgk. Give prob of picking 2 k and 1 g.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d. Let l(o) be the second derivative of 7*o**3\/6 - 3*o**2\/2 + 8*o. Let y(t) = 112*t - 49. Let f(b) = -49*l(b) + 3*y(b). Calculate f(i(m)).\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3284013 is divided by 5314?\nAnswer: 5275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/9 - 110*d**2\/9 + 152*d\/9 + 2240\/9.\nAnswer: -2*(d - 5)*(d + 4)*(d + 56)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -7\/2*w**2 + 341 - 2*w + 1\/3*w**3. Give c(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0129743608 to four decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*t = -5*n + 20, t - 4*n = -7. Let b(d) be the third derivative of 0*d + 0 + 0*d**t + 1\/240*d**6 - 1\/48*d**4 + 0*d**3 + 2*d**2. Factor b(l).\nAnswer: l*(l - 1)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 4*z**2 + 4*z. Let d be g(5). Let o(y) = 3*y + 19. Let q be o(d). What is the derivative of -14 + 0*n + 4*n - 4*n + 24*n**q wrt n?\nAnswer: 96*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00059561 rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 5*n**2 + 2 + 35*n - 37*n + 0.\nAnswer: 5*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314*k + 13535*k**2 - 13512*k**2 - 314*k.\nAnswer: 23*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -10*j + 65. Determine v(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 84 = 96. Let l = 2 - 2. Solve l = -4*q - 0*o + 5*o + 8, 2*q - x = 2*o for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bu when two letters picked without replacement from yzyzzyzzybzztyuzyzz.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 305691 and 5301?\nAnswer: 917073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43552 + 3?\nAnswer: -43545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8521.\nAnswer: 8521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -712*x + 30669. Determine f(43).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55*h**3\/9 - 237959*h**2\/3 - 257446749*h - 407035503.\nAnswer: -(h + 6489)**2*(55*h + 87)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of u**4\/4 + u**2 - 56*u. Determine j(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 889, 1475, 2063, 2653, 3245?\n\"Answer: p**2 + 583*p + 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.1 - 4. Let p = 4.1 + -7.1. Which is the nearest to r? (a) 0 (b) 0.3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(68)*-2)\/(sqrt(24)\/(sqrt(96)*1)).\nAnswer: -24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 514446.2ml to litres.\nAnswer: 514.4462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7}. Give prob of picking 2 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - o + 1. Let p(s) = -s**2 + 7*s - 5. Let c = 3 - -2. Let w be p(c). Let z(y) = -6*y**2 + 3*y - 2. Let d(a) = w*v(a) - z(a). Give d(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**3 + 33*j**2 + 22*j + 44. What is w(17)?\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 u when three letters picked without replacement from uxlumuyyuuux?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0 = 6, 0 = -3*d - 3*a + 18. Let p be d\/1 + (-366009)\/3. Round p to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25.049 - -0.049. Let x = -19 - j. Which is the closest to -1? (a) 5 (b) -3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6.3 or -5?\nAnswer: -6.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(684))**2 + 2.\nAnswer: 2738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 42031*i**2 - 281*i + 1047. Is o(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12*((-6)\/(-9) - 0). Let l(m) = m**3 - 7*m**2 - 7*m - 5. Let j be l(8). Suppose -6*w + j*w = -15. Solve -w*g = -g - s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/64 and 79\/48.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2065, -2047, -2035, -2029, -2029, -2035?\nAnswer: -2047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5 = -4*k + 3, 4*v = 2*k - 22. Suppose -2*s - 18 = -k*j, 4 = 4*s - 8. Let o be 1*(2 - j - -1). Let g(w) = -w**2 - 4*w + 1. Calculate g(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3678 and 280141?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2159, -4277, -6395, -8513?\n\"Answer: -2118*z - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6564 and -0.63.\nAnswer: -6564.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231*y - 229*y + 58 = 2*p, -2*y + 12 = 0. Solve 18 = -p*m + 193 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.01 (b) 2 (c) -2\/7 (d) -36 (e) -6\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011200011201 - 1000?\nAnswer: 1011200010201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.17 - -8.83. Let a = o - 9.4. Suppose 65 = -2102*m + 2115*m. What is the fourth biggest value in m, a, 2\/21, 1\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71245 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from erererarrererrrrrrar?\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide -1 - -733 - (-5 + -8 + 9 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 + 32. Let f(k) = k**2 - 7*k + 1. Let n be f(6). What is the units digit of 6\/o - 31\/n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*p**3 + 73*p**3 + 78*p**3 - 102*p**2 + 102*p**2.\nAnswer: 19*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**5\/60 + 11*s**4\/12 - 15*s**3\/2 + 11*s**2 - 3*s + 1. Calculate q(23).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -2\/437, 0.3 in decreasing order.\nAnswer: 0.3, -2\/437, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 11*l - 6*l + 1517, -2*l = -3*u + 2281. Calculate the remainder when u is divided by 128.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3481\/708 + (-1)\/(-12). Solve s*n - 10 = 5*c, 0*n - 4*n - 4*c + 32 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = j - 5*m, 4*j - 3*j = -2*m + 42. Let r = j - 34. Solve 11 + r = 5*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 2*l**2 + l - 1. Let s be r(2). Which is the closest to 2\/3? (a) -8.1 (b) s (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/5 - (-807)\/(-5). Let j = 276 + f. Does 33 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*z**2 - 8*z**2 + 0*z**2 + (-3 - z + 3)*(3*z + 0*z - z))*(4 - 3 - 3) as j + q*z**2 + y*z and give q.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 32 + z - 31*z**2 - 2*z + 30*z**2. Calculate the remainder when 38 is divided by a(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12613, -11245, -9875, -8503, -7129, -5753?\n\"Answer: x**2 + 1365*x - 13979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*j**3 - 2*j**2 + 6*j**2 - 2*j**3 - 14 + 3*j**3 - 3*j**2 in the form n*j**3 + r*j**2 + m + i*j and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -219, -864, -1941, -3450, -5391?\n\"Answer: -216*s**2 + 3*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*l**2*x**2 + 29*l**2*x + 17*l*x**2 - 52*l*x wrt x.\nAnswer: 32*l**2 + 34*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(72)*3*3 + 4) - ((5 + -3*sqrt(72) + 0 + sqrt(72))**2 + -2).\nAnswer: -327 - 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 39317.97 millilitres?\nAnswer: 39.31797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.048076 to three dps.\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n = 16*n + 2368000. Round n to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 131*o**2 - 364*o - 2546. Calculate i(128).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3237802?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epeepp. Give prob of sequence pe.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1920744 and 60606?\nAnswer: 24969672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 378878398 to the nearest integer?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -740 + 2187. What are the prime factors of n?\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 + 60*p - 225.\nAnswer: -(2*p - 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(-4)*(0 + (-318)\/9) and -8\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*p - 768 + 1468 = 0 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5\/3, -2, 22 in decreasing order.\nAnswer: 22, 5\/3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 - -4) + 312\/143 + 28\/(-33). Let s = 15.7 - 16. What is the third biggest value in s, m, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1131.310002 rounded to 1 dp?\nAnswer: -1131.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 529\/4 or 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 3381.9 to the nearest one hundred.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c + 5772 = 17*c. Suppose 6*h = 4*h + c. Suppose -h + 488 = -5*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.073 rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38339 is divided by 68.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**5*l*l)\/l*l)\/l)\/l*(l\/(l\/(l*l\/((l*l**(2\/15))\/l))))\/l)**(-36)*((l**(2\/5))**28)**(-1\/11) assuming l is positive.\nAnswer: l**(-11672\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13761660 and 4466?\nAnswer: 96331620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 64\/10 - (-4)\/(-10). Let s be (-19)\/(-7) - (-12)\/42. Suppose s*x - w*x = -117. Calculate the remainder when x is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 5*q - 2. Let u be p(-6). Solve 4*c - 28 = 4*t, c + u*c = t + 19 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -16. Let d = -4 + 2. Let k(s) = -s**3 + 19*s**2 - 4*s + 71. Let b be k(19). Put d, v, b, -1 in ascending order.\nAnswer: b, d, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3044.81 + 64.81. Let c = i - -3007.936. Let m = 28 - c. What is m rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37142445, 37142457, 37142469, 37142481, 37142493?\nAnswer: 37142505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -6 + -3 - (3 + -4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h - 199 + 68 - 22*h + 82)*(3*h**3 - 4*h**3 - 3*h**3) to q*h + d*h**3 + y*h**4 + u + m*h**2 and give d.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4729*q**2 - 2365*q**2 - 2376*q**2.\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*v + 5*g + 3775 = 31*v, 0 = -5*v + 4*g - 3811. Let h = v + 1609. Calculate the greatest common factor of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 x, and 2 p when four letters picked without replacement from {y: 10, x: 4, f: 1, p: 3}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3685 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 5*t. Suppose t = -3*n + 5 + 49. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/5)\/(8\/(-60)). Let j(k) = -k**2 - 6*k + 4. Let y be j(t). Suppose 0 = -2*u + y. Solve d = -0 - u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6203 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 37155277 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(-7)\/((-9688)\/3). Let q = j + -3529\/15916. Let l(c) = -c + 7. Let z be l(7). Is q < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 47, 212, 501, 920, 1475, 2172, 3017?\n\"Answer: v**3 + 56*v**2 - 10*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -1, -25, -235.\nAnswer: -235, -25, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2981628 and -102534.\nAnswer: -3084162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**5\/15 - 77*g**4\/9 - 476*g**3\/9 - 320*g**2\/3 - 1492*g. Find p, given that v(p) = 0.\nAnswer: -2, -1, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49460 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10245723383 and -0.1?\nAnswer: 10245723382.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 2\/9*i**3 - 8 + 4\/3*i**2 + 0*i. Factor c(b).\nAnswer: 2*b*(b + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55754 is divided by 27851.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 859941, 1719880, 2579819, 3439758, 4299697, 5159636?\n\"Answer: 859939*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 191 * -3105\nAnswer: -593055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/15479184 and -17\/3869796.\nAnswer: 15479184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -49. Let q be 12\/b + 268\/(-6). Let n be (-8)\/6*q\/20. Solve n*y + 9 = -0*m + m, -2*y = -4*m - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -70854*p. Let b(s) = -3*s**2 + 6. What is g(b(i))?\nAnswer: 212562*i**2 - 425124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - -3. Suppose -l - 2 = 5*d + f, 0 = 3*d - f + 13. Let u be ((-3)\/2)\/((-9)\/d). Is u greater than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2310\/198 + -12)\/((-6)\/4)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -2*f - 5*r, 5*r = -7 - 8. Let c be (3 - f\/(-4)) + (-567)\/(-2240). Is -1 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*m + 9*m - 4*m)*(-m - 3*m + 2*m) to a + v*m**2 + x*m and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/3))**(-2\/61)\/(x*x\/x**(2\/15)*x\/(((x\/(x*x**(1\/3)))\/x)\/x)))**15 assuming x is positive.\nAnswer: x**(-4768\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 2)\/((-138)\/(-644)). Let w be (-2)\/((-66)\/357) + a\/(-77). Solve -5*j - 36 + w = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-2*(sqrt(48) + -1*sqrt(192) + sqrt(192))**2*4*-6*2.\nAnswer: -9216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - -2 - (-10 + -1). What is the common denominator of 3 - (-3)\/((-57)\/c) and (8\/1560*-13)\/(((-8)\/78)\/(-4))?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -1\/6*g**3 + 1\/20*g**5 + 2*g + 1\/3*g**4 + 0 + 2*g**2. What is the units digit of o(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 82\/51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-6*(-1206)\/(-432))\/((-2)\/(-4)) and -149\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -564*a**3 + 1692*a**3 - 563*a**3 - 563*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 282902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + 17*c + 135 = 0. Let h = -270 + 261. Let y be (12\/h - -2)\/((-10)\/c). Solve y*r - 2*w + 5 = 0, 4*r + w = -4*w - 45 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75961 or -75979?\nAnswer: -75979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 10:48 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/486 and 16\/99.\nAnswer: 5346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-182)\/(-4)*(-3 + 5). What is the highest common divisor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 5*o - 2. Let n be h(1). What is the second derivative of -5*d + 5*d**3 + 0*d**n + 4*d**3 wrt d?\nAnswer: 54*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.4 + -4. Suppose 4*d = d + 483. Let r = -809\/5 + d. Which is the second smallest value? (a) -1\/5 (b) r (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -j*o*r + 6*j*o - 60*j*r**2 + 6*o wrt r?\nAnswer: -j*o - 120*j*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 243 - 381 = -3*d, 4*i - 3*d - 832 = 0. Suppose -32 + i = 4*q. Calculate the lowest common multiple of 28 and q.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 20 + 4 = 0. Suppose -6*w + 2*w = i. Let t(p) = -9*p**2 - 7*p. Let q(o) = -o**2 - o. Let s(y) = w*t(y) + 24*q(y). Solve s(n) = 0 for n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, n: 1, a: 2}. Give prob of sequence npp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 37. Let l = g - 11. Suppose 2*d = l*d - 6. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1338 + s**2 + 21*s - 21*s.\nAnswer: s**2 + 1338","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-6) + (-1)\/(-3). Let x be 3\/(-6)*26*i. Let m = 22 - x. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 14, l: 5}. What is prob of sequence nn?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14941 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 2) + -8 + -8 + 50 + -26\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d + 0*d + 7*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10843*y - 563 + 269 + 294 + 5760*y to p*y + t and give p.\nAnswer: 16603","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + f = 928. Let x be (-265)\/(-53) - (1 + (3 - 2)). Suppose -x*t = -1810 + f. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9522)\/(-14812))\/(0 + 3\/(-7)). Suppose 0 = -0*m - 4*m + 8. Let q be (-5 - 0) + 2\/1. Which is the second smallest value? (a) h (b) q (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*g = 0, 5*j = 3*g. Solve j = n + 2*n - 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 3. Let x be r(11). Suppose 0 = -4*u - 2*v + 14, -x = -u - 4*v. Let a be 2\/2 + (-5 - -9). Solve a = u*b + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 5:46 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14121770 (base 10) in base 7?\nAnswer: 231014225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 38\/14 - 6\/(-21). Let h = -1041 - -1039. What is the nearest to 3 in b, -1, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8283 - -1549. List the prime factors of k.\nAnswer: 2, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n**0\/n)\/n*n*n*n*n*n**(-2)\/n*n)\/((((n**(-3\/5)\/n)\/n)\/n)\/n*(n*n**(2\/11)*n)\/n*n))\/(((n*n\/(n**(3\/2)\/n)*n)\/n**(-5))\/(n**0)**1) assuming n is positive.\nAnswer: n**(-449\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 - 159 + 8*p**2 - 2*p**2 - 3*p**2 + 165.\nAnswer: 2*p**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156 - 396 = -60*n + 408 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 123080 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -446317614 divided by -6\nAnswer: 74386269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 9*l - 54. Let r be y(-4). Let m = 4.3 + -4. Let p = -7 - -3. Which is the closest to -1? (a) p (b) r (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66572.53076 rounded to the nearest ten?\nAnswer: 66570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -592, -1169, -1758, -2365, -2996, -3657, -4354?\nAnswer: -5093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -301 bigger than -585?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(27) + sqrt(81)\/sqrt(3))*3 - 4*sqrt(972)) + 4.\nAnswer: -270*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.585 rounded to the nearest integer?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*l**2 - 54*l**2 + 25*l**2)*(-2 + 4 - 1)*(-2 - 2 + 1) + (-4*l - 8*l + 2*l)*(l + 0*l - 2*l).\nAnswer: 40*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -d - 2. Suppose 0 = -p + 4*y + 3, 0*y - 6 = d*y. What is the units digit of (-2 + 1)*p - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -90*q**3 - 8*q**2 + 8*q + 191. Let j(u) = 30*u**3 + 3*u**2 - 3*u - 64. Let p(g) = 3*h(g) + 8*j(g). Find the first derivative of p(d) wrt d.\nAnswer: -90*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 11 = -2*x + 17, x - 24 = -5*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 20 = 4*z, -2*z - 5*r = -6*z + 20. Let p be 3 + (-20)\/z - -5. Suppose -p*f + 7 - 3 = 0. What is the highest common divisor of 2 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 433352046?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45b (base 16) to base 4.\nAnswer: -101123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 23064 + 12 + -4 - -4*7\/(-14). Calculate the highest common factor of q and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 24*z - 100. Give a(-14).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence py when two letters picked without replacement from {f: 4, u: 1, y: 4, e: 2, p: 2, n: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -6. Let v = k + 2. Let d be 6\/(-9)*9\/6. Which is the closest to v? (a) d (b) -4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 10) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 56\/(-98)*-56 + -17. Solve -4*x - 26 = 2*c, -59*c = -5*x - 58*c - z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1899 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 809429?\nAnswer: 353, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 8) + (-11)\/(44\/(-24)). Let f = -10 + 10.4. What is the biggest value in f, 6, t?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1813*a - 4436 = -15314 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -q**4\/24 - q**3\/2 - 48*q**2. Calculate the smallest common multiple of a(-4) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 1:42 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 17*v**4\/12 + 5*v**2. Is p(1) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -50, 0.036, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozb when three letters picked without replacement from bbbozbzzb.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p + 2. Suppose 5*w + 24 = -2*o, 2*w = -2*w. Let f = -8 - o. Suppose 0 = v - 3*v + f. Give l(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/6 - 240\/18. Let t = k + 18. Solve 0 = -5*z + 5*a, -t*a + 5 = -2*z + 3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 35*g - 62. Let q be x(-33). Suppose -2*w = 2*t - 7*t + 15, -2*t = -q*w - 6. Solve a - 2*a + 9 = -4*k, 4*k - 5*a = t for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -5*p**5 + 24655*p**4 - 29933310*p**3 - 1135984680*p**2 - 6840041760*p - 11106460800 = 0?\nAnswer: -30, -4, -3, 2484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2313, 8905, 19907, 35331, 55189, 79493, 108255?\n\"Answer: 2*d**3 + 2193*d**2 - d + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*b = -80. Let x be 8*(14\/8 - 3). Let k(y) = y**3 + 9*y**2 - 12*y - 12. Let d be k(x). What is the greatest common factor of d and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 38?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 44398439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(375) - (sqrt(30)*-1)\/sqrt(2))\/((((sqrt(90) - (sqrt(90) + 2*sqrt(90))) + sqrt(90))\/sqrt(2))\/sqrt(9)).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 15*f - 18*f - 27, 4*f + 32 = 4*h. Solve -2*t + h*r = 13, 5 = -2*r + 3*r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2816 and 256?\nAnswer: 2816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 664 a factor of 838632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.1162 rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5989173857.\nAnswer: 47, 103, 1237177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -694*m - 2081. Determine b(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 224 = -4*u, -18*u + 5*v + 50 + 971 = 0. Solve u = -31*l + 88*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9726\/13 + 748. Which is the nearest to -1\/2? (a) -1 (b) q (c) 0.5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -15. Suppose 3*b = -l*b - x, 0 = 5*b - 3*x. Suppose b = -12*y + 14*y - 26. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 10 = -3*l, -2*l = 2*l - 2*j - 6. Let m be (18\/(-12))\/(l\/(-32)). What is the highest common factor of 36 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -4. Suppose -5*k + x + 94 = 0, -2*k - 4*x = -m*k - 20. Let l = 53\/3 - k. Which is smaller: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1278 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14052028 is divided by 780666?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r. Let y be (148\/259)\/(2\/49). Let f(h) = y - 4 - 10 - 8*h. What is f(v(z))?\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1720)\/(-248) - 2) + (-2)\/(-31). Let j be 14 + (-884)\/65 + 13\/f. Factor -9*m - 15*m**2 - 1\/4*m**5 - 13\/4*m**j + 0 + 5\/2*m**4.\nAnswer: -m*(m - 6)**2*(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26295 + 26295.22047. Let j = -150 - -150.22. Let s = j - u. Round s to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 64*k - 8.\nAnswer: 64*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 3*d - 10 - 11, -4*y - 4*d = 20. Let p be 1 - -4 - (-49800030)\/y. Round p to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*x = 30*x - 49*x - 91 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 15 - 75*y - 49*y)*(-2 - 3 + 1)*(2*y - 2*y - 3*y + (-1 + 3 - 1)*(-y + 0 + 0)).\nAnswer: -1984*y**2 + 32*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.904 - 4.39. What is c rounded to 2 decimal places?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290 is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**8\/(z\/z**(-20)))\/(z\/(z*z**(3\/14)\/z)*z**(-11)) assuming z is positive.\nAnswer: z**(-39\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/1332 and -59\/16428.\nAnswer: 49284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 n when two letters picked without replacement from {n: 2, i: 1, d: 2, f: 1, u: 2, w: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s**3 - 239*s**2 + 51*s + 166. What is g(-48)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25\/132 - -2\/33. Which is the second biggest value? (a) -0.3 (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 3. Suppose -3*b + 9 = r, 0*b - 2 = u*b - 2*r. Suppose g - 9 = -b*l, 10*g = -3*l + 5*g - 4. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 447231 by 918.\nAnswer: 149077\/306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 312*u**2 - 609*u**2 - u**3 - 284*u**2 + 2*u**3 to the form o*u**2 + c*u**3 + r*u + w and give o.\nAnswer: -581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 1719*f + 18845815 - 18845815 in the form s + w*f and give w.\nAnswer: 1719","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/1*(-1250)\/4. Suppose 0 = -n + 2*n + 2. Let p be (o\/n)\/(1\/1024). Round p to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5642907 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.5278 + 0.1022. Let q = x + 0.37. Which is the second smallest value? (a) -1 (b) q (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c - 1. Let p(z) = -6. Give 8*k(h) - p(h).\nAnswer: -24*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*(sqrt(88) - -2*sqrt(88)) - sqrt(88)) + sqrt(88))\/(sqrt(40)\/sqrt(5)*4))**2.\nAnswer: 99\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32*p**2*v*x + 1825*p**2 + 41*v*x - 3*v + 5*x - 5 with respect to p.\nAnswer: 64*p*v*x + 3650*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4276996 to two decimal places.\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**4\/11 - 196*x**3 - 7877*x**2\/11 - 8584*x\/11 - 260 = 0.\nAnswer: -715, -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11\/(-3*2\/(-6)). Let b = v + -5. Let w(p) = 4*p**3 + 5*p - 5. Let h(s) = -5*s**3 - 6*s + 6. What is b*w(z) + 5*h(z)?\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1969, -1973, -1979, -1987, -1997?\nAnswer: -2009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.3, 645, -2, 6\/533?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + ((6 - 96) + 0 - (-4 + -11))?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5 + -3*sqrt(68)*-1 + 6*(sqrt(68) + 4) + 5)**2*-5.\nAnswer: -33320 - 6120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**4 - 22*y + 9*y + 9*y + (0 + 0 + y**3)*(0 + y + 0).\nAnswer: 2*y**4 - 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 b when two letters picked without replacement from szxbszuzzznnb?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1024*w**3 + 14*w - 821*w**3 + 1118*w**3 - w**2 + 25*w + 16*w + 3 wrt w.\nAnswer: -4362*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + 1100021?\nAnswer: 1100033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w + 2*w + w)*(1 - 1 + 1) + (-1 + 34 + 13)*(-2*w + w - 2*w) to the form x*w + g and give x.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7683099 is divided by 548792.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232521 (base 7) to base 6.\nAnswer: 521203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**4\/3 + 14920*m**3\/3 - 2486294*m**2\/3 + 109542980*m\/3 - 190325536 = 0. What is m?\nAnswer: -7624, 6, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}